Physics · JEE Main, Olympiad (NSEP)

Thermodynamics

190 practice questions with a worked solution for each. Tap an option to see instantly if you are right.

162MCQ28Numerical51With diagram
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  1. 1A Carnot engine working between temperatures T1=500 KT_1 = 500\,\text{K} (source) and T2=300 KT_2 = 300\,\text{K} (sink) absorbs 1000 J1000\,\text{J} of heat per cycle. The work done per cycle is:JEE Main/MCQ/Medium
  2. 2For an ideal gas undergoing a polytropic process PVn=constantP V^n = \text{constant}, the molar heat capacity is given by C=Cv+R1−nC = C_v + \frac{R}{1-n}. The process is isothermal when:Olympiad (NSEP)/MCQ/Hard
  3. 3An ideal gas undergoes an isothermal expansion from volume VV to 2V2V. The change in internal energy ΔU\Delta U is:JEE Main/MCQ/Medium
  4. 4Consider the following statements:
    A. Zeroth law of thermodynamics gives concept of temperature
    B. First law of thermodynamics gives concept of internal energy
    C. In isothermal expansion of ideal gas,     ΔQ≠ΔW\Delta Q \neq \Delta W
    D. Product of intensive and extensive variables is extensive
    E. The ratio of any extensive variable to mass will be an extensive variable
    Choose the correct combination of statements from the options given below:    JEE Main/MCQ/Medium/Thermodynamic Systems
  5. 5There are two vessels filled with an ideal gas where volume of one is double the volume of other. The large vessel contains the gas at 8 kPa at 1000 K while the smaller vessel contains the gas at 7 kPa at 500 K. If the vessels are connected to each other by a thin tube allowing the gas to flow and the temperature of both vessels is maintained at 600 K , at steady state the pressure in the vessels will be (in kPa).JEE Main/MCQ/Medium/Thermodynamic Systems
  6. 6An ideal gas goes from an initial state to final state. During the process, the pressure of gas increases linearly with temperature.
    A. The work done by gas during the process is zero.
    B. The heat added to gas is different from change in its internal energy.
    C. The volume of the gas is increased.
    D. The internal energy of the gas is increased.
    E. The process is isochoric (constant volume process)
    Choose the correct answer from the options given below:    JEE Main/MCQ/Medium/Thermodynamic Systems
  7. 7Match the LIST-I with LIST-II\text{Match the LIST-I with LIST-II} \[
    \begin{array}{|l|p{6cm}|l|p{4cm}|}
    \hline \textbf{LIST-I} & & \textbf{LIST-II} & \\
    \hline A. & \text{Pressure varies inversely with volume of an ideal gas.} & I. & \text{Adiabatic process} \\
    \hline B. & \text{Heat absorbed goes partly to increase internal energy and partly to do work.} & II. & \text{Isochoric process} \\
    \hline C. & \text{Heat is neither absorbed nor released by a system.} & III. & \text{Isothermal process} \\
    \hline D. & \text{No work is done on or by a gas.} & IV. & \text{Isobaric process} \\
    \hline
    \end{array}
    \]
    Choose the correct answer from the options given below:\text{Choose the correct answer from the options given below:}    JEE Main/MCQ/Medium/Thermodynamic Systems
  8. 8For a diatomic gas, if γ1=(CpCv)\gamma_1=\left(\frac{C p}{C v}\right) for rigid molecules and γ2=(CpCv)\gamma_2=\left(\frac{C p}{C v}\right) for another diatomic molecules, but also having vibrational modes. Then, which one of the following options is correct ? (Cp and Cv are specific heats of the gas at constant pressure and volume)JEE Main/MCQ/Medium/Thermodynamic Systems
  9. 9Given are statements for certain thermodynamic variables,
    (A) Internal energy, volume (V) and mass (M) are extensive variables.
    (B) Pressure (P), temperature (T) and density (     ρ\rho ) are intensive variables.
    (C) Volume (V), temperature (T) and density (     ρ\rho ) are intensive variables.
    (D) Mass (M), temperature (T) and internal energy are extensive variables.

    Choose the correct answer from the options given below :    JEE Main/MCQ/Medium/Thermodynamic Systems
  10. 10Let γ1{\gamma }_{1} be the ratio of molar specific heat at constant pressure and molar specific heat at constant volume of a monoatomic gas and γ2{\gamma }_{2} be the similar ratio of diatomic gas. Considering the diatomic gas molecule as a rigid rotator, the ratio γ1γ2\dfrac{{\gamma }_{1}}{{\gamma }_{2}} is:JEE Main/MCQ/Medium/Thermodynamic Systems
  11. 11Match the CpCv\dfrac{{\text{C}}_{\text{p}}}{{\text{C}}_{\text{v}}} ratio for ideal gases with different type of molecules: Molecule Type Cp/Cv{\text{C}}_{\text{p}}/{\text{C}}_{\text{v}} (A) Monoatomic (I) 7/57/5 (B) Diatomic rigid molecules (II) 9/79/7 (C) Diatomic non-rigid molecules (III) 4/34/3 (D) Triatomic rigid molecules (IV) 5/35/3JEE Main/MCQ/Medium/Thermodynamic Systems
  12. 12When a system is taken from state ii to state ff along the path iaf\mathrm{iaf}, it is found that Q=50 calQ=50 \mathrm{~cal} and W=20 cal\mathrm{W}=20 \mathrm{~cal}. Along the path' ibf\mathrm{ibf} Q=36 cal\mathrm{Q=36 ~cal}. W\mathrm{W} along the path ibf\mathrm{ibf} is
    JEE Main/MCQ/Medium/Thermodynamic Systems/With diagram
  13. 13Which of the following statements is correct for any thermodynamic system?JEE Main/MCQ/Medium/Thermodynamic Systems
  14. 14Which of the following parameters does not characterize the thermodynamic state of matter?JEE Main/MCQ/Medium/Thermodynamic Systems
  15. 15Initial pressure and volume of a monoatomic ideal gas are PP and VV. The change in internal energy of this gas in adiabatic expansion to volume Vfinal=27VV_{final}=27V is ________ J.JEE Main/MCQ/Medium/First Law of Thermodynamics
  16. 16One mole of diatomic gas having rotational modes only is kept in a cylinder with a piston system. The cross-section area of the cylinder is 44 cm2^2. The gas is heated slowly to raise the temperature by 1.2 ∘1.2\,^\circC during which the piston moves by 2525 mm. The amount of heat supplied to the gas is ________ J. (Atmospheric pressure =100=100 kPa, R=8.3R=8.3 J/mol·K) (Neglect mass of the piston)JEE Main/MCQ/Medium/First Law of Thermodynamics
  17. 1755 moles of unknown gas is heated at constant volume from 10 °C10 \, °C to 20 °C20 \, °C. The molar specific heat of this gas at constant pressure cp=8c_p = 8 cal/mol.°C and R=8.36R = 8.36 J/mol.°C. The change in the internal energy of the gas is _______ calorie.JEE Main/Numerical/Medium/First Law of Thermodynamics
  18. 18Heat is supplied to a diatomic gas at constant pressure. Then the ratio of ΔQ:ΔU:ΔW\Delta Q : \Delta U : \Delta W is _______.JEE Main/MCQ/Medium/First Law of Thermodynamics
  19. 1910 mole of an ideal gas is undergoing the process shown in the figure. The heat involved in the process from P1P_{1} to P2P_{2} is α\alpha Joule (P1=21.7 PaP_{1}=21.7 \mathrm{~Pa} and P2=30 Pa,Cv=21 J/K.mol,R=8.3 J/mol.K)\left.P_{2}=30 \mathrm{~Pa}, \mathrm{C}_{v}=21 \mathrm{~J} / \mathrm{K}. \mathrm{mol}, R=8.3 \mathrm{~J} / \mathrm{mol}. \mathrm{K}\right). The value of α\alpha is ____\_\_\_\_.
    JEE Main/MCQ/Medium/First Law of Thermodynamics/With diagram
  20. 20Density of water at 4∘C4{ }^{\circ} \mathrm{C} and 20∘C20^{\circ} \mathrm{C} are 1000 kg/m31000 \mathrm{~kg} / \mathrm{m}^{3} and 998 kg/m3998 \mathrm{~kg} / \mathrm{m}^{3} respectively. The increase in internal energy of 4 kg of water when it is heated from 4∘C4{ }^{\circ} \mathrm{C} to 20∘C20^{\circ} \mathrm{C} is ____\_\_\_\_ J.
    (specific heat capacity of water     =4.2 J/kg=4.2 \mathrm{~J} / \mathrm{kg}. and 1 atmospheric pressure =105 Pa=10^{5} \mathrm{~Pa})    JEE Main/MCQ/Medium/First Law of Thermodynamics
  21. 21The internal energy of a monoatomic gas is 3 nRT. One mole of helium is kept in a cylinder having internal cross section area of 17 cm217 \mathrm{~cm}^{2} and fitted with a light movable frictionless piston. The gas is heated slowly by suppling 126 J heat. If the temperature rises by 4∘C4^{\circ} \mathrm{C}, then the piston will move ____\_\_\_\_ cm.
    (atmospheric pressure     =105 Pa=10^{5} \mathrm{~Pa})    JEE Main/MCQ/Medium/First Law of Thermodynamics
  22. 2210 mole of oxygen is heated at constant volume from 30∘C30^{\circ} \mathrm{C} to 40∘C40^{\circ} \mathrm{C}. The change in the internal energy of the gas is ____\_\_\_\_ cal. (The molecular specific heat of oxygen at constant pressure, CP=7cal/mol.∘CC_{P}=7 \mathrm{cal} / \mathrm{mol}.{ }^{\circ} \mathrm{C} and R=2cal/mol.∘C\mathrm{R}=2 \mathrm{cal} / \mathrm{mol}.{ }^{\circ} \mathrm{C}.)JEE Main/Numerical/Medium/First Law of Thermodynamics
  23. 23During the melting of a slab of ice at 273 K at atmospheric pressure :JEE Main/MCQ/Medium/First Law of Thermodynamics
  24. 24The internal energy of air in 4 m×4 m×3 m4 \mathrm{~m} \times 4 \mathrm{~m} \times 3 \mathrm{~m} sized room at 1 atmospheric pressure will be _______ ×106 J\times 10^6 \mathrm{~J}. (Consider air as diatomic molecule)JEE Main/Numerical/Medium/First Law of Thermodynamics
  25. 25Given below are two statements. One is labelled as Assertion (A) and the other is labelled as Reason (R).
    Assertion (A) : In an insulated container, a gas is adiabatically shrunk to half of its initial volume. The temperature of the gas decreases.
    Reason (R): Free expansion of an ideal gas is an irreversible and an adiabatic process.
    In the light of the above statements, choose the correct answer from the options given below :    JEE Main/MCQ/Medium/First Law of Thermodynamics
  26. 26The magnitude of heat exchanged by a system for the given cyclic process ABCA (as shown in figure) is (in SI unit) :
    JEE Main/MCQ/Medium/First Law of Thermodynamics/With diagram
  27. 27The temperature of 1 mole of an ideal monoatomic gas is increased by 50∘C50^{\circ} \mathrm{C} at constant pressure. The total heat added and change in internal energy are E1E_1 and E2E_2, respectively. If E1E2=x9\frac{E_1}{E_2}=\frac{x}{9} then the value of xx is _____JEE Main/Numerical/Medium/First Law of Thermodynamics
  28. 28

    Using the given     P−V\mathrm{P}-\mathrm{V} diagram, the work done by an ideal gas along the path ABCD is :    JEE Main/MCQ/Medium/First Law of Thermodynamics/With diagram
  29. 29A total of 48 J48 \mathrm{~J} heat is given to one mole of helium kept in a cylinder. The temperature of helium increases by 2∘C2^{\circ} \mathrm{C}. The work done by the gas is:
    Given,     R=8.3 J K−1 mol−1\mathrm{R}=8.3 \mathrm{~J} \mathrm{~K}^{-1} \mathrm{~mol}^{-1}.    JEE Main/MCQ/Medium/First Law of Thermodynamics
  30. 30A thermodynamic system is taken from an original state AA to an intermediate state BB by a linear process as shown in the figure. Its volume is then reduced to the original value from BB to CC by an isobaric process. The total work done by the gas from AA to BB and BB to CC would be :JEE Main/MCQ/Medium/First Law of Thermodynamics/With diagram
  31. 310.08kg0.08kg air is heated at constant volume through 5∘C5^{\circ}C. The specific heat of air at constant volume is 0.17kcal{kg}^{-1}^{\circ}{C}^{-1} and 1J=4.18joulecal−11J=4.18joule{cal}^{-1}. The change in its internal energy is approximately.JEE Main/MCQ/Medium/First Law of Thermodynamics
  32. 32A thermodynamic system is taken through cyclic process. The total work done in the process is :
    JEE Main/MCQ/Medium/First Law of Thermodynamics/With diagram
  33. 33Given below are two statements:
    Statement I: If heat is added to a system, its temperature must increase.
    Statement II: If positive work is done by a system in a thermodynamic process, its volume must increase.
    In the light of the above statements, choose the correct answer from the options given below    JEE Main/MCQ/Medium/First Law of Thermodynamics
  34. 34A source supplies heat to a system at the rate of 1000W.1000W. If the system performs work at a rate of 200W.200W. The rate at which internal energy of the system increases isJEE Main/MCQ/Medium/First Law of Thermodynamics
  35. 35The pressure of a gas changes linearly with volume from AA to BB as shown in figure. If no heat is supplied to or extracted from the gas then change in the internal energy of the gas will be
    JEE Main/MCQ/Medium/First Law of Thermodynamics/With diagram
  36. 36Heat is given to an ideal gas in an isothermal process.
    A. Internal energy of the gas will decrease.
    B. Internal energy of the gas will increase.
    C. Internal energy of the gas will not change.
    D. The gas will do positive work.
    E. The gas will do negative work.
    Choose the correct answer from the options given below :    JEE Main/MCQ/Medium/First Law of Thermodynamics
  37. 37Given below are two statements. One is labelled as Assertion A and the other is labelled as Reason R.
    Assertion A : If     dQdQ and dWdW represent the heat supplied to the system and the work done on the system respectively. Then according to the first law of thermodynamics dQ=dU−dWdQ=dU-dW.
    Reason R : First law of thermodynamics is based on law of conservation of energy.
    In the light of the above statements, choose the correct answer from the option given below :    JEE Main/MCQ/Medium/First Law of Thermodynamics
  38. 381g1g of a liquid is converted to vapour at 3×105Pa3\times {10}^{5}Pa pressure. If 1010% of the heat supplied is used for increasing the volume by 1600cm31600{cm}^{3} during this phase change, then the increase in internal energy in the process will be :JEE Main/MCQ/Medium/First Law of Thermodynamics
  39. 39For a perfect gas, two pressures P1{P}_{1} and P2{P}_{2} are shown in figure. The graph shows
    JEE Main/MCQ/Medium/First Law of Thermodynamics/With diagram
  40. 40A thermally insulated vessel contains an ideal gas of molecular mass MM and ratio of specific heats 1.41.4. Vessel is moving with speed vv and is suddenly brought to rest. Assuming no heat is lost to the surrounding and vessel temperature of the gas increases by :
    (    R=R= universal gas constant)    JEE Main/MCQ/Medium/First Law of Thermodynamics
  41. 41An electric appliance supplies 6000Jmin⁡−16000J{\min }^{-1}, heat to the system. If the system delivers a power of 90W90W. How long it would take to increase the internal energy by 2.5×103J2.5\times {10}^{3}J?JEE Main/MCQ/Medium/First Law of Thermodynamics
  42. 42One mole of an ideal gas at 27∘C27^{\circ}C is taken from AA to BB as shown in the given PVPV indicator diagram. The work done by the system will be _______ ×10−1J.\times {10}^{-1}J. [Given, R=8.3Jmole−1K,ln⁡2=0.6931R=8.3J{mole}^{-1}K,\ln 2=0.6931] (Round off to the nearest integer)
    (Round off to the nearest integer)
    JEE Main/Numerical/Medium/First Law of Thermodynamics/With diagram
  43. 43The amount of heat needed to raise the temperature of 4moles4moles of a rigid diatomic gas from 0∘C0^{\circ}C to 50∘C50^{\circ}C when no work is done is(R(R is the universal gas constant)JEE Main/MCQ/Medium/First Law of Thermodynamics
  44. 44In thermodynamics, heat and work are :JEE Main/MCQ/Medium/First Law of Thermodynamics
  45. 45The volume VV of a given mass of monoatomic gas changes with temperature TT according to the relation V=KT23V=K{T}^{\dfrac{2}{3}}. The workdone when temperature changes by 90K90K will be xRxR. The value of xx is
    [    RR universal gas constant ]    JEE Main/Numerical/Medium/First Law of Thermodynamics
  46. 4611 mole of rigid diatomic gas performs a work of Q5\dfrac{Q}{5} when heat QQ is supplied to it. The molar heat capacity of the gas during this transformation is xR8.\dfrac{xR}{8}. The value of xx is
    [    RR universal gas constant]    JEE Main/Numerical/Medium/First Law of Thermodynamics
  47. 47The internal energy (U)\left(U\right), pressure (P)\left(P\right) and volume (V)\left(V\right) of an ideal gas are related as U=3PV+4.U=3PV+4. The gas isJEE Main/MCQ/Medium/First Law of Thermodynamics
  48. 48In a certain thermodynamical process, the pressure of a gas depends on its volume as kV3k{V}^{3}. The work done when the temperature changes from 100∘C100^{\circ}C to 300∘C300^{\circ}C will be xnRxnR where nn denotes number of moles of a gas find xx ;JEE Main/Numerical/Medium/First Law of Thermodynamics
  49. 49If one mole of an ideal gas at (P1,V1)\left({P}_{1},{V}_{1}\right) is allowed to expand reversibly and isothermally (AA to BB) its pressure is reduced to one-half of the original pressure (see figure). This is followed by a constant volume cooling till its pressure is reduced to one-fourth of the initial value (B→C).\left(B\rightarrow C\right). Then it is restored to its initial state by a reversible adiabatic compression (CC to AA). The net workdone by the gas is equal to:
    JEE Main/MCQ/Medium/First Law of Thermodynamics/With diagram
  50. 50Three different processes that can occur in an ideal monoatomic gas are shown in the PP vs VV diagram. The paths are labelled as A→B,A→CA\rightarrow B,A\rightarrow C and A→DA\rightarrow D. The change in internal energies during these process are taken as EAB,EAC{E}_{AB},{E}_{AC} and EAD{E}_{AD} and the work done as WAB,WAC{W}_{AB},{W}_{AC} and WAD{W}_{AD}. The correct relation between these parameters are:
    JEE Main/MCQ/Medium/First Law of Thermodynamics/With diagram
  51. 51An engine takes in 55 moles of air at 20∘C20^{\circ}C and 1atm1atm, and compresses it adiabatically to 1/10th1/{10}^{th} of the original volume. Assuming air to be a diatomic ideal gas made up of rigid molecules, the change in its internal energy during this process comes out to be XkJXkJ. The value of XX to the nearest integer is:JEE Main/Numerical/Medium/First Law of Thermodynamics
  52. 52A sample of an ideal gas is taken through the cyclic process abcaabca as shown in the figure. The change in the internal energy of the gas along the path caca is −180J.-180J. The gas absorbs 250J250J of heat along the path abab and 60J60J along the path bcbc . The work done by the gas along the path abcabc is:
    JEE Main/MCQ/Medium/First Law of Thermodynamics/With diagram
  53. 53nn moles of an ideal gas with constant volume heat capacity Cv{C}_{v} undergo an isobaric expansion by certain volume. The ratio of the work done in the process, to the heat supplied is:JEE Main/MCQ/Medium/First Law of Thermodynamics
  54. 54Following figure shows two processes AA and BB for a gas. If ∆QA∆{Q}_{A} and ∆QB∆{Q}_{B} are the amount of heat absorbed by the system in two cases, and ∆UA∆{U}_{A} and ∆UB∆{U}_{B} are changes in internal energies, respectively, then:
    JEE Main/MCQ/Medium/First Law of Thermodynamics/With diagram
  55. 55
    The above     P−VP-V diagram represents the thermodynamic cycle of an engine, operating with an ideal mono-atomic gas. The amount of heat, extracted from the source in a single cycle, is:    JEE Main/MCQ/Medium/First Law of Thermodynamics/With diagram
  56. 56Which of the following is incorrect regarding the first law of thermodynamics?JEE Main/MCQ/Medium/First Law of Thermodynamics
  57. 57A cylinder with adiabatic walls is closed at both ends and is divided into two compartments by a frictionless adiabatic piston. Ideal gas is filled in both (left and right) the compartments at same P,V,TP, V, T. Heating is started from left side until pressure changes to 27P8\dfrac{27P}{8}. If initial volume of each compartment was 99 litres then the final volume in right-hand side compartment is __________ litres. (for this ideal gas CP/CV=1.5C_P/C_V = 1.5)JEE Main/MCQ/Medium/Thermodynamic Processes
  58. 58A certain gas is isothermally compressed to (13)rd\left(\dfrac{1}{3}\right)^{rd} of its initial volume (Vo=3V_o = 3 litre) by applying required pressure. If the bulk modulus of the gas is 3×1053 \times 10^5 N/m2^2, the magnitude of work done on the gas is _______ J.JEE Main/Numerical/Medium/Thermodynamic Processes
  59. 59Two closed vessels of same volume are joined through a narrow tube and both vessels are filled with air of pressure 9090 kPa and temperature 400400 K. Keeping the temperature of one vessel constant at 400400 K the second vessel temperature is raised to 500500 K. The final pressure in the vessels is _______ kPa.JEE Main/MCQ/Medium/Thermodynamic Processes
  60. 60An ideal gas at pressure PP and temperature TT is expanding such that PT3=PT^3 = constant. The coefficient of volume expansion of the gas is _______.JEE Main/MCQ/Medium/Thermodynamic Processes
  61. 61An ideal gas undergoes a process maintaining relation between pressure (P)(P) and volume (V)(V) as P=Po(1+(VoV)2)−1P = P_o\left(1 + \left(\dfrac{V_o}{V}\right)^2\right)^{-1}, where PoP_o and VoV_o are constants. If two samples AA and BB (two moles each) with initial volumes VoV_o and 3Vo3V_o respectively undergo above mentioned process and attain same pressure, then the difference at the temperatures of these samples, TB−TAT_B - T_A is _____. (R=R = gas constant)JEE Main/MCQ/Medium/Thermodynamic Processes
  62. 62A vessel contains 0.150.15 m3^3 of a gas at pressure 88 bar and temperature 140°140°C with cp=3Rc_p = 3R and cv=2Rc_v = 2R. It is expanded adiabatically till pressure falls to 11 bar. The work done during this process is _______ kJ. (RR is gas constant)JEE Main/Numerical/Medium/Thermodynamic Processes
  63. 63A thermodynamic system is taken through the cyclic process ABCA B C as shown in the figure. The total work done by the system during the cycle ABCA B C is ____\_\_\_\_ J.
    JEE Main/Numerical/Medium/Thermodynamic Processes/With diagram
  64. 64In the following p−Vp-V diagram the equation of state along the curved path is given by (V−2)2=4ap(V-2)^{2}=4 a p where aa is a constant. The total work done in the closed path is
    JEE Main/MCQ/Medium/Thermodynamic Processes/With diagram
  65. 65When 300 J of heat given to an ideal gas with Cp=72RC_{p}=\frac{7}{2} R its temperature raises from 20∘C20^{\circ} \mathrm{C} to 50∘C50^{\circ} \mathrm{C} keeping its volume constant. If n is the number of moles of the gas, then what is the value of 100n100n? (R=8.314 J/mol.K)(\mathrm{R}=8.314 \mathrm{~J} / \mathrm{mol}. \mathrm{K})JEE Main/Numerical/Medium/Thermodynamic Processes
  66. 66One mole of an ideal diatomic gas expands from volume VV to 2 V isothermally at a temperature 27∘C27^{\circ} \mathrm{C} and does WW joule of work. If the gas undergoes same magnitude of expansion adiabatically from 27∘C27^{\circ} \mathrm{C} doing the same amount of work WW, then its final temperature will be (close to) ____\_\_\_\_ ∘C{ }^{\circ} \mathrm{C}.
    (log⁡e2=0.693)\left(\log _{\mathrm{e}} 2=0.693\right)    JEE Main/MCQ/Medium/Thermodynamic Processes
  67. 67An insulated cylinder of volume 60 cm360 \mathrm{~cm}^{3} is filled with a gas at 27∘C27^{\circ} \mathrm{C} and 2 atmospheric pressure. Then the gas is compressed making the final volume as 20 cm320 \mathrm{~cm}^{3} while allowing the temperature to rise to 77∘C77^{\circ} \mathrm{C}. The final pressure is ____\_\_\_\_ atmospheric pressure.JEE Main/Numerical/Medium/Thermodynamic Processes
  68. 68A diatomic gas (γ=1.4)(\gamma=1.4) does 100 J of work when it is expanded isobarically. Then the heat given to the gas ____\_\_\_\_ J.JEE Main/Numerical/Medium/Thermodynamic Processes
  69. 69A monoatomic gas having γ=53\gamma=\frac{5}{3} is stored in a thermally insulated container and the gas is suddenly compressed to (18)th \left(\frac{1}{8}\right)^{\text {th }} of its initial volume. The ratio of final pressure and initial pressure is: ( γ\gamma is the ratio of specific heats of the gas at constant pressure and at constant volume)JEE Main/MCQ/Medium/Thermodynamic Processes
  70. 70Match List-I with List-II.
    List-IList-II(A)Isothermal(I)ΔW(work done)=0(B)Adiabatic(II)ΔQ(supplied heat)=0(C)Isobaric(III)ΔU(change in internalenergy≠0(D)Isochoric(IV)ΔU=0\begin{array}{|l|l|l|l|} \hline & \text{List-I} & & \text{List-II} \\ \hline \text{(A)} & \text{Isothermal} & \text{(I)} & \Delta \mathrm{W} \text{(work done)} =0 \\ \hline \text{(B)} & \text{Adiabatic} & \text{(II)} & \Delta \mathrm{Q} \text{(supplied heat)} =0 \\ \hline \text{(C)} & \text{Isobaric} & \text{(III)} & \begin{array}{l}\Delta \mathrm{U} \text{(change in internal} \\ \text{energy} \neq 0\end{array} \\ \hline \text{(D)} & \text{Isochoric} & \text{(IV)} & \Delta \mathrm{U}=0 \\ \hline\end{array}
    Choose the correct answer from the options given below :    JEE Main/MCQ/Medium/Thermodynamic Processes
  71. 71An ideal gas has undergone through the cyclic process as shown in the figure. Work done by the gas in the entire cycle is ______ ×10−1 J\times 10^{-1} \mathrm{~J}.
    (Take     π=3.14\pi=3.14)
    JEE Main/Numerical/Medium/Thermodynamic Processes/With diagram
  72. 72Match List-I with List-II.
    \(\begin{array}{|l|l|l|l|} \hline & \text{List - I} & & \text{List - II} \\ \hline \text { (A) } & \text { Isobaric } & \text { (I) } & \Delta Q=\Delta W \\ \hline \text { (B) } & \text { Isochoric } & \text { (II) } & \Delta Q=\Delta U \\ \hline \text { (C) } & \text { Adiabatic } & \text { (III) } & \Delta Q=\text { zero } \\ \hline \text { (D) } & \text { Isothermal } & \text { (IV) } & \Delta Q=\Delta U+P \Delta V \\ \hline \end{array}\)
    ΔQ=\Delta \mathrm{Q}= Heat supplied
    ΔW=\Delta \mathrm{W}= Work done by the system
    ΔU=\Delta \mathrm{U}= Change in internal energy
    P=\mathrm{P}= Pressure of the system
    ΔV=\Delta \mathrm{V}= Change in volume of the system
    Choose the correct answer from the options given below:    JEE Main/MCQ/Medium/Thermodynamic Processes
  73. 73An ideal gas exists in a state with pressure P0P_0 volume V0\mathrm{V}_0.It is isothermally expanded to 4 times of its initial volume (V0)\left(\mathrm{V}_0\right), then isobarically compressed to its original volume. Finally the system is heated isochorically to bring it to its initial state. The amount of heat exchanged in this process is :JEE Main/MCQ/Medium/Thermodynamic Processes
  74. 74Pressure of an ideal gas, contained in a closed vessel, is increased by 0.4%0.4 \% when heated by 1∘C1^{\circ} \mathrm{C}. Its initial temperature must be :JEE Main/MCQ/Medium/Thermodynamic Processes
  75. 75A gas is kept in a container having walls which are thermally non-conducting. Initially the gas has a volume of 800 cm3800 \mathrm{~cm}^3 and temperature 27∘C27^{\circ} \mathrm{C}. The change in temperature when the gas is adiabatically compressed to 200 cm3200 \mathrm{~cm}^3 is :
    (Take     γ=1.5:γ\gamma=1.5: \gamma is the ratio of specific heats at constant pressure and at constant volume)    JEE Main/MCQ/Medium/Thermodynamic Processes
  76. 76Identify the characteristics of an adiabatic process in a monoatomic gas.
    (A) Internal energy is constant.
    (B) Work done in the process is equal to the charge in internal energy.
    (C) The product of temperature and volume is a constant.
    (D) The product of pressure and volume is a constant.
    (E) The work done to change the temperature from     T1\mathrm{T}_1 to T2\mathrm{T}_2 is proportional to (T2−T1)\left(\mathrm{T}_2-\mathrm{T}_1\right)
    Choose the correct answer from the options given below :    JEE Main/MCQ/Medium/Thermodynamic Processes
  77. 77In an adiabatic process, which of the following statements is true?JEE Main/MCQ/Medium/Thermodynamic Processes
  78. 78

    A poly-atomic molecule (     CV=3R,CP=4RC_V=3 R, C_P=4 R, where RR is gas constant) goes from phase space point A(PA=105 Pa, VA=4×10−6 m3)\mathrm{A}\left(\mathrm{P}_{\mathrm{A}}=10^5 \mathrm{~Pa}, \mathrm{~V}_{\mathrm{A}}=4 \times 10^{-6} \mathrm{~m}^3\right) to point B(PB=5×104 Pa, VB=6×10−6 m3)\mathrm{B}\left(\mathrm{P}_{\mathrm{B}}=5 \times 10^4 \mathrm{~Pa}, \mathrm{~V}_{\mathrm{B}}=6 \times 10^{-6} \mathrm{~m}^3\right) to point C(PC=104\mathrm{C}\left(\mathrm{P}_{\mathrm{C}}=10^4\right. Pa,VC=8×10−6 m3)\left.\mathrm{Pa}, \mathrm{V}_{\mathrm{C}}=8 \times 10^{-6} \mathrm{~m}^3\right). A to B is an adiabatic path and BB to CC is an isothermal path.
    The net heat absorbed per unit mole by the system is :    JEE Main/MCQ/Medium/Thermodynamic Processes/With diagram
  79. 79Given below are two statements. One is labelled as Assertion (A) and the other is labelled as Reason (R).

    Assertion (A) : With the increase in the pressure of an ideal gas, the volume falls off more rapidly in an isothermal process in comparison to the adiabatic process.

    Reason (R) : In isothermal process,     PV=\mathrm{PV}= constant, while in adiabatic process PVγ=\mathrm{PV}^\gamma= constant. Here γ\gamma is the ratio of specific heats, P is the pressure and V is the volume of the ideal gas.

    In the light of the above statements, choose the correct answer from the options given below :    JEE Main/MCQ/Medium/Thermodynamic Processes
  80. 80A container of fixed volume contains a gas at \(27^{\circ} \mathrm{C}\). To double the pressure of the gas, the temperature of gas should be raised to ______ \({ }^{\circ} \mathrm{C}\).JEE Main/Numerical/Medium/Thermodynamic Processes
  81. 81The workdone in an adiabatic change in an ideal gas depends upon only :JEE Main/MCQ/Medium/Thermodynamic Processes
  82. 82An ideal gas initially at 0∘C0^{\circ} \mathrm{C} temperature, is compressed suddenly to one fourth of its volume. If the ratio of specific heat at constant pressure to that at constant volume is 3/23 / 2, the change in temperature due to the thermodynamic process is _____ K.JEE Main/Numerical/Medium/Thermodynamic Processes
  83. 83A real gas within a closed chamber at 27∘C27^{\circ} \mathrm{C} undergoes the cyclic process as shown in figure. The gas obeys PV3=RTP V^3=R T equation for the path AA to BB. The net work done in the complete cycle is (assuming R=8 J/molKR=8 \mathrm{~J} / \mathrm{mol} \mathrm{K} ):
    JEE Main/MCQ/Medium/Thermodynamic Processes/With diagram
  84. 84The volume of an ideal gas (γ=1.5)(\gamma=1.5) is changed adiabatically from 5 litres to 4 litres. The ratio of initial pressure to final pressure is:JEE Main/MCQ/Medium/Thermodynamic Processes
  85. 85A sample of 1 mole gas at temperature T\mathrm{T} is adiabatically expanded to double its volume. If adiabatic constant for the gas is γ=32\gamma=\frac{3}{2}, then the work done by the gas in the process is:JEE Main/MCQ/Medium/Thermodynamic Processes
  86. 86A diatomic gas (γ=1.4)(\gamma=1.4) does 100 J100 \mathrm{~J} of work in an isobaric expansion. The heat given to the gas is :JEE Main/MCQ/Medium/Thermodynamic Processes
  87. 87Two different adiabatic paths for the same gas intersect two isothermal curves as shown in P-V diagram. The relation between the ratio VaVd\frac{V_a}{V_d} and the ratio VbVc\frac{V_b}{V_c} is:
    JEE Main/MCQ/Medium/Thermodynamic Processes/With diagram
  88. 88The heat absorbed by a system in going through the given cyclic process is :
    JEE Main/MCQ/Medium/Thermodynamic Processes/With diagram
  89. 89A sample of gas at temperature TT is adiabatically expanded to double its volume. Adiabatic constant for the gas is γ=3/2\gamma=3 / 2. The work done by the gas in the process is:
    (μ=1 mole)(\mu=1 \mathrm{~mole})    JEE Main/MCQ/Medium/Thermodynamic Processes
  90. 90P-T diagram of an ideal gas having three different densities ρ1,ρ2,ρ3\rho_1, \rho_2, \rho_3 (in three different cases) is shown in the figure. Which of the following is correct :
    JEE Main/MCQ/Medium/Thermodynamic Processes/With diagram
  91. 91A diatomic gas (γ=1.4)(\gamma =1.4) does 200J200J of work when it is expanded isobarically. The heat given to the gas in the process is :JEE Main/MCQ/Medium/Thermodynamic Processes
  92. 92The pressure and volume of an ideal gas are related as PV32=KP{V}^{\dfrac{3}{2}}=K (Constant). The work done when the gas is taken from state A(P1,V1,T1)A\left({P}_{1},{V}_{1},{T}_{1}\right) to state B(P2,V2,T2)B\left({P}_{2},{V}_{2},{T}_{2}\right) is :JEE Main/MCQ/Medium/Thermodynamic Processes
  93. 93The given figure represents two isobaric processes for the same mass of an ideal gas, thenJEE Main/MCQ/Medium/Thermodynamic Processes/With diagram
  94. 94Choose the correct statement for processes AA & BB shown in figure.JEE Main/MCQ/Medium/Thermodynamic Processes/With diagram
  95. 95During an adiabatic process, the pressure of a gas is found to be proportional to the cube of its absolute temperature. The ratio of CpCv\dfrac{{C}_{p}}{{C}_{v}} for the gas is :JEE Main/MCQ/Medium/Thermodynamic Processes
  96. 96The initial pressure and volume of an ideal gas areP0{P}_{0} and V0{V}_{0}. The final pressure of the gas when the gas is suddenly compressed to volumeV04\dfrac{{V}_{0}}{4} will be:
    (Given     γ\gamma= ratio of specific heats at constant pressure and at constant volume.)    JEE Main/MCQ/Medium/Thermodynamic Processes
  97. 97The thermodynamic process, in which internal energy of the system remains constant isJEE Main/MCQ/Medium/Thermodynamic Processes
  98. 98A gas is compressed adiabatically, which one of the following statement is NOT true?JEE Main/MCQ/Medium/Thermodynamic Processes
  99. 99Consider two containers AA and BB containing monoatomic gases at the same Pressure (P)\left(P\right), Volume (V)\left(V\right) and Temperature (T)\left(T\right). The gas in AA is compressed isothermally to 18\dfrac{1}{8} of its original volume while the gas in BB is compressed adiabatically to 18\dfrac{1}{8} of its original volume. The ratio of final pressure of gas in BB to that of gas in AA isJEE Main/MCQ/Medium/Thermodynamic Processes
  100. 100For three low density gases A,B,CA,B,C pressure versus temperature graphs are plotted while keeping them at constant volume, as shown in the figure

    The temperature corresponding to the point     ′K′'K' is:    JEE Main/MCQ/Medium/Thermodynamic Processes/With diagram
  101. 101A sample of gas at temperature TT is adiabatically expanded to double its volume. The work done by the gas in the process is given, (given γ=32\gamma =\dfrac{3}{2}) :JEE Main/MCQ/Medium/Thermodynamic Processes
  102. 102A hypothetical gas expands adiabatically such that its volume changes from 0808 litres to 2727 litres. If the ratio of final pressure of the gas to initial pressure of the gas is1681\dfrac{16}{81} . Then the ratio of CpCv\dfrac{{C}_{p}}{{C}_{v}} will be.JEE Main/MCQ/Medium/Thermodynamic Processes
  103. 103Heat energy of 735J735J is given to a diatomic gas allowing the gas to expand at constant pressure. Each gas molecule rotates around an internal axis but do not oscillate. The increase in the internal energy of the gas will be:JEE Main/MCQ/Medium/Thermodynamic Processes
  104. 104The correct relation between γ=CPCV\gamma =\dfrac{{C}_{P}}{{C}_{V}} and temperature TT is :JEE Main/MCQ/Medium/Thermodynamic Processes
  105. 105A bicycle tyre is filled with air having pressure of 270kPa270kPa at 27∘C27^{\circ}C. The approximate pressure of the air in the tyre when the temperature increases to 36∘C36^{\circ}C isJEE Main/MCQ/Medium/Thermodynamic Processes
  106. 106Match List I with List II : List I List II A Isothermal Process I Work done by the gas decreases internal energy B Adiabatic Process II No change in internal energy C Isochoric Process III The heat absorbed goes partly to increase internal energy and partly to do work D Isobaric Process IV No work is done on or by the gas Choose the correct answer from the options given below :JEE Main/MCQ/Medium/Thermodynamic Processes
  107. 107In an Isothermal change, the change in pressure and volume of a gas can be represented for three different temperature; T3>T2>T1{T}_{3}\gt {T}_{2}\gt {T}_{1} as:JEE Main/MCQ/Medium/Thermodynamic Processes
  108. 108A thermodynamic system is taken from an original state DD to an intermediate state EE by the linear process shown in the figure. Its volume is then reduced to the original volume from EE to FF by an isobaric process. The total work done by the gas from DD to EE to FF will be
    JEE Main/MCQ/Medium/Thermodynamic Processes/With diagram
  109. 109The pressure P1{P}_{1} and density d1{d}_{1} of diatomic gas (γ=75)\left(\gamma =\dfrac{7}{5}\right) changes suddenly to P2(>P1){P}_{2}\left(\gt {P}_{1}\right) and d2{d}_{2} respectively during an adiabatic process. The temperature of the gas increases and becomes____times of its initial temperature.
    (given     d2d1=32\dfrac{{d}_{2}}{{d}_{1}}=32)    JEE Main/Numerical/Medium/Thermodynamic Processes
  110. 110At a certain temperature, the degrees of freedom per molecule for gas is 88. The gas performs 150J150J of work when it expands under constant pressure. The amount of heat absorbed by the gas will be _____ JJ.JEE Main/Numerical/Medium/Thermodynamic Processes
  111. 111A monoatomic gas at pressure PP and volume VV is suddenly compressed to one eighth of its original volume. The final pressure at constant entropy will beJEE Main/MCQ/Medium/Thermodynamic Processes
  112. 11277 mole of certain monoatomic ideal gas undergoes a temperature increase of 40K40K at constant pressure. The increase in the internal energy of the gas in this process is
    (Given     R=8.3JK−1mol−1R=8.3J{K}^{-1}{mol}^{-1})    JEE Main/MCQ/Medium/Thermodynamic Processes
  113. 113A certain amount of gas of volume VV at 27∘C27^{\circ}C temperature and pressure 2×107Nm−22\times {10}^{7}N{m}^{-2} expands isothermally until its volume gets doubled. Later it expands adiabatically until its volume gets redoubled. The final pressure of the gas will be (Use γ=1.5\gamma =1.5)JEE Main/MCQ/Medium/Thermodynamic Processes
  114. 114Starting with the same initial conditions, an ideal gas expands from volume V1{V}_{1} to V2{V}_{2} in three different ways. The work done by the gas is W1{W}_{1} if the process is purely isothermal, W2{W}_{2}, if the process is purely adiabatic and W3{W}_{3} if the process is purely isobaric. Then, choose the correct optionJEE Main/MCQ/Medium/Thermodynamic Processes
  115. 115A sample of an ideal gas is taken through the cyclic process ABCAABCA as shown in figure. It absorbs, 40J40J of heat during the part ABAB, no heat during BCBC and rejects 60J60J of heat during CACA. A work of 50J50J is done on the gas during the part BCBC. The internal energy of the gas at AA is 1560J1560J. The work done by the gas during the part CACA is
    JEE Main/MCQ/Medium/Thermodynamic Processes/With diagram
  116. 116The total internal energy of two mole monoatomic ideal gas at temperature T=300KT=300K will be _____ JJ. (Given R=8.31Jmol−1⋅KR=8.31J{mol}^{-1}\cdot K)JEE Main/Numerical/Medium/Thermodynamic Processes
  117. 117Statement - I : When μ\mu amount of an ideal gas undergoes adiabatic change from state (P1,V1,T1)\left({P}_{1},{V}_{1},{T}_{1}\right) to state (P2,V2,T2)\left({P}_{2},{V}_{2},{T}_{2}\right), then work done is W=μR(T2−T1)1−γW=\dfrac{\mu R\left({T}_{2}-{T}_{1}\right)}{1-\gamma }, where γ=CPCV\gamma =\dfrac{{C}_{P}}{{C}_{V}} and R=R= universal gas constant.
    Statement - II : In the above case, when work is done on the gas, the temperature of the gas would rise.    JEE Main/MCQ/Medium/Thermodynamic Processes
  118. 118A diatomic gas (γ=1.4)\left(\gamma =1.4\right) does 400J400J of work when it is expanded isobarically. The heat given to the gas in the process is _____ JJ.JEE Main/Numerical/Medium/Thermodynamic Processes
  119. 119The width of one of the two slits in a Young's double slit experiment is three times the other slit. If the amplitude of the light coming from a slit is proportional to the slit-width, the ratio of minimum to maximum intensity in the interference pattern is x:4x:4 where xx is _______.JEE Main/Numerical/Medium/Thermodynamic Processes
  120. 120A sample of gas with γ=1.5\gamma =1.5 is taken through an adiabatic process in which the volume is compressed from 1200cm31200{cm}^{3} to 300cm3.300{cm}^{3}. If the initial pressure is 200kPa.200kPa. The absolute value of the workdone by the gas in the process =________J.JEE Main/Numerical/Medium/Thermodynamic Processes
  121. 121One mole of an ideal gas is taken through an adiabatic process where the temperature rises from 27∘C27^{\circ}C to 37∘C37^{\circ}C. If the ideal gas is composed of polyatomic molecule that has 4 vibrational modes, which of the following is true? [R=8.314Jmol−1k−1]\left[R=8.314J{mol}^{-1}{k}^{-1}\right]JEE Main/MCQ/Medium/Thermodynamic Processes
  122. 122In the reported figure, there is a cyclic process ABCDAABCDA on a sample of 11 mol of a diatomic gas. The temperature of the gas during the process A→BA\rightarrow B and C→DC\rightarrow D are T1{T}_{1} and T2(T1>T2){T}_{2}\left({T}_{1}\gt {T}_{2}\right) respectively.

    Choose the correct option out of the following for work done if processes     BCBC and DADA are adiabatic.    JEE Main/MCQ/Medium/Thermodynamic Processes/With diagram
  123. 123A monoatomic ideal gas, initially at temperature T1{T}_{1} is enclosed in a cylinder fitted with a frictionless piston. The gas is allowed to expand adiabatically to a temperature T2{T}_{2} by releasing the piston suddenly. If l1{l}_{1} and l2{l}_{2} are the lengths of the gas column, before and after the expansion respectively, then the value of T1T2\dfrac{{T}_{1}}{{T}_{2}} will be:JEE Main/MCQ/Medium/Thermodynamic Processes
  124. 124Which of the following graphs represent the behaviour of an ideal gas? Symbols have their usual meaning.JEE Main/MCQ/Medium/Thermodynamic Processes
  125. 125In the reported figure, heat energy absorbed by a system in going through a cyclic process is ______πJ.\pi J.
    JEE Main/Numerical/Medium/Thermodynamic Processes/With diagram
  126. 126For an adiabatic expansion of an ideal gas, the fractional change in its pressure is equal to (where γ\gamma is the ratio of specific heats):JEE Main/MCQ/Medium/Thermodynamic Processes
  127. 127The P−VP-V diagram of a diatomic ideal gas system going under cyclic process as shown in figure. The work done during an adiabatic process CDCD is (use γ=1.4)\gamma =1.4) :
    JEE Main/MCQ/Medium/Thermodynamic Processes/With diagram
  128. 128Which one is the correct option for the two different thermodynamic processes ?
    JEE Main/MCQ/Medium/Thermodynamic Processes/With diagram
  129. 129Thermodynamic process is shown below on a P−VP-V diagram for one mole of an ideal gas. If V2=2V1{V}_{2}=2{V}_{1}, then the ratio of temperature T2T1\dfrac{{T}_{2}}{{T}_{1}} is :
    JEE Main/MCQ/Medium/Thermodynamic Processes/With diagram
  130. 130nn mole of a perfect gas undergoes a cyclic process ABCAABCA (see figure) consisting of the following processes.
    A→B:A\rightarrow B: Isothermal expansion at temperature TT so that the volume is doubled from V1{V}_{1} to V2=2V1{V}_{2}=2{V}_{1} and pressure changes from P1{P}_{1} to P2{P}_{2}
    B→C:B\rightarrow C: Isobaric compression at pressure P2{P}_{2} to initial volume V1.{V}_{1}.
    C→A:C\rightarrow A: Isochoric change leading to change of pressure from P2{P}_{2} to P1{P}_{1}
    Total work done in the complete cycle     ABCAABCA is:
    JEE Main/MCQ/Medium/Thermodynamic Processes/With diagram
  131. 131Match List II with List II.II. List II List IIII (a) Isothermal (i) Pressure constant (b) Isochoric (ii) Temperature constant (c) Adiabatic (iii) Volume constant (d) Isobaric (iv) Heat content is constant Choose the correct answer from the options given below:JEE Main/MCQ/Medium/Thermodynamic Processes
  132. 132Initially a gas of diatomic molecules is contained in a cylinder of volume V1{V}_{1} at a pressure P1{P}_{1} and temperature 250K250K. Assuming that 2525% of the molecules get dissociated causing a change in number of moles. The pressure of the resulting gas at temperature 2000K,2000K, when contained in a volume 2V12{V}_{1} is given by P2{P}_{2}. The ratio P2/P1{P}_{2}/{P}_{1} is -JEE Main/Numerical/Medium/Thermodynamic Processes
  133. 133In an adiabatic process, the density of a diatomic gas becomes 3232nn times its initial value. The final pressure of the gas is found to be nn times the initial pressure. The value of nn is:JEE Main/MCQ/Medium/Thermodynamic Processes
  134. 134The change in the magnitude of the volume of an ideal gas when a small additional pressure ∆P∆P is applied at a constant temperature, is the same as the change when the temperature is reduced by a small quantity ∆T∆T at constant pressure. The initial temperature and pressure of the gas were 300K300Kand 2atm2atm respectively. If ∣ΔT∣=C∣ΔP∣|\Delta T|=C|\Delta P| then value of CC in (K/atm)(K/atm) is __________JEE Main/Numerical/Medium/Thermodynamic Processes
  135. 135Match the thermodynamics processes taking place in a system with the correct conditions. In the table : ∆Q∆Qis the heat supplied, ∆W∆W is the work done and ∆U∆U is change in internal energy of the system. Process Condition (I) Adiabatic (A) ∆W=0∆W=0 (II) Isothermal (B) ∆Q=0∆Q=0 (III) Isochoric (C) ∆U≠0,∆W≠0,∆Q≠0∆U\neq 0,∆W\neq 0,∆Q\neq 0 (IV) Isobaric (D) ∆U=0∆U=0JEE Main/MCQ/Medium/Thermodynamic Processes
  136. 136A balloon filled with helium (32∘Cand1.7atm)\left(32^{\circ}C and 1.7atm\right) bursts. Immediately after wards the expansion of helium can be considered as :JEE Main/MCQ/Medium/Thermodynamic Processes
  137. 137Starting at temperature 300K,300K, one mole of an ideal diatomic gas (γ=1.4)\left(\gamma =1.4\right) is first compressed adiabatically from volume V1{V}_{1} to V2=V116.{V}_{2}=\dfrac{{V}_{1}}{16}. It is then allowed to expand isobarically to volume 2V22{V}_{2} . If all the processes are the quasi-static then the final temperature of the gas (in oK{}^{o}K ) is (to the nearest integer) ___________.JEE Main/Numerical/Medium/Thermodynamic Processes
  138. 138Which of the following is an equivalent cyclic process corresponding to the thermodynamic cyclic given in the figure? Where, 1→21\rightarrow 2 is adiabatic. (Graphs are schematic and are not to scale)

    JEE Main/MCQ/Medium/Thermodynamic Processes/With diagram
  139. 139A thermodynamic cycle xyzxxyzx is shown on a VV - TT diagram.

    The     PP - VV diagram that best describes this cycle is: (Diagrams are schematic and not to scale)    JEE Main/MCQ/Medium/Thermodynamic Processes/With diagram
  140. 140Under an adiabatic process, the volume of an ideal gas gets doubled. Consequently, the mean collision time between the gas molecule changes from τ1{\tau }_{1} to τ2{\tau }_{2} . If CPCv=γ\dfrac{{C}_{P}}{{C}_{v}}=\gamma for this gas then a good estimate for τ2τ1\dfrac{{\tau }_{2}}{{\tau }_{1}} is given byJEE Main/MCQ/Medium/Thermodynamic Processes
  141. 141A litre of dry air at STP expands adiabatically to a volume of 33 litres. If γ=1.40,\gamma =1.40, the work done by air is: (31.4=4.6555)\left({3}^{1.4}=4.6555\right) [Take air to be an ideal gas]JEE Main/MCQ/Medium/Thermodynamic Processes
  142. 142One mole of an ideal gas passes through a process where pressure and volume obey the relation P=Po[1−12(VoV)2]P={P}_{o}\left[1-\dfrac{1}{2}{\left(\dfrac{{V}_{o}}{V}\right)}^{2}\right] . Here Po{P}_{o} and Vo{V}_{o} are constants. Calculate the change in the temperature of the gas if its volume changes from Vo{V}_{o} to 2Vo2{V}_{o} .JEE Main/MCQ/Medium/Thermodynamic Processes
  143. 143A cylinder with fixed capacity of 67.267.2 litre contains helium gas at STP. The amount of heat needed to raise the temperature of the gas by 20∘C20^{\circ}C is:
    [Given that     R=8.31Jmol−1K−1]R=8.31Jmo{l}^{-1}{K}^{-1}]    JEE Main/MCQ/Medium/Thermodynamic Processes
  144. 144The given diagram shows four processes i.e., isochoric, isobaric, isothermal and adiabatic. The correct assignment of the processes, in the same order is given by:
    JEE Main/MCQ/Medium/Thermodynamic Processes/With diagram
  145. 145For the given cyclic process CABCAB as shown for a gas, the work done is:

    JEE Main/MCQ/Medium/Thermodynamic Processes/With diagram
  146. 146In a process, temperature and volume of one mole of an ideal monoatomic gas are varied according to the relation VT=K,\mathrm{VT}=\mathrm{K}, where K\mathrm{K} is a constant. In this process the temperature of the gas is increased by ΔT\Delta \mathrm{T}. The amount of heat absorbed by gas is (R is gas constant):JEE Main/MCQ/Medium/Thermodynamic Processes
  147. 147A rigid diatomic ideal gas undergoes an adiabatic process at room temperature. The relation between temperature and volume for this process is TVx=\mathrm{TV}^{\mathrm{x}}= constant, then x\mathrm{x} is:JEE Main/MCQ/Medium/Thermodynamic Processes
  148. 148Half mole of an ideal monoatomic gas is heated at a constant pressure of 1atm1 atm from 20∘C20^{\circ}C to 90∘C90^{\circ}C. Work done by the gas is((Gas constant,R=8.21Jmol−1K−1R=8.21J{mol}^{-1}{K}^{-1})JEE Main/MCQ/Medium/Thermodynamic Processes
  149. 149A gas can be taken from AA to BB via two different processes ACBACB and ADBADB.



    When path     ACBACB is used 60J60J of heat flows into the system and 30J30J of work is done by the system. If the path ADBADB is used then work done by the system is 10J10J, the heat flows into the system in the path ADBADB is:    JEE Main/MCQ/Medium/Thermodynamic Processes/With diagram
  150. 150One mole of an ideal monatomic gas is taken along the path ABCAABCA as shown in the PVPV diagram. The maximum temperature attained by the gas along the path BCBC is given by:
    JEE Main/MCQ/Medium/Thermodynamic Processes/With diagram
  151. 151One mole of an ideal monatomic gas is compressed isothermally in a rigid vessel to double its pressure at room temperature, 27oC{27}^{o}C . The magnitude of work done on the gas will be:JEE Main/MCQ/Medium/Thermodynamic Processes
  152. 152One mole of an ideal monoatomic gas is compressed isothermally in a rigid vessel to double its pressure at room temperature, 27∘C27^{\circ} \mathrm{C}. The work done on the gas will be:JEE Main/MCQ/Medium/Thermodynamic Processes
  153. 153Two moles of an ideal monoatomic gas occupies a volume VV at 27oC{27}^{o}C . The gas expands adiabatically to a volume 2V2V. Calculate (a)(a) the final temperature of the gas and (b)(b) change in its internal energy.JEE Main/MCQ/Medium/Thermodynamic Processes
  154. 154For the P−VP-V diagram given for an ideal gas

    Out of the following which one correctly represents the     T−PT-P diagram?    JEE Main/MCQ/Medium/Thermodynamic Processes/With diagram
  155. 155An engine operates by taking nnmoles of an ideal gas through the cycle ABCDAABCDA shown in figure. The thermal efficiency of the engine is:

    (Take     Cv=1.5R{C}_{v}=1.5R, whereRR is gas constant)

    JEE Main/MCQ/Medium/Thermodynamic Processes/With diagram
  156. 156200g200g water is heated from 40oC{40}^{o}C to 60oC{60}^{o}C . Ignoring the slight expansion of water, the change in its internal energy is close to (Given specific heat of water =4184=4184 Jkg−1K−1J{kg}^{-1}{K}^{-1}):JEE Main/MCQ/Medium/Thermodynamic Processes
  157. 157The ratio of work done by an ideal monoatomic gas to the heat supplied to it in an isobaric process isJEE Main/MCQ/Medium/Thermodynamic Processes
  158. 158nn moles of an ideal gas undergoes a process A→BA\rightarrow B as shown in the figure. The maximum temperature of the gas during the process will be:
    JEE Main/MCQ/Medium/Thermodynamic Processes/With diagram
  159. 159An ideal gas goes through a reversible cycle a→b→c→da\rightarrow b\rightarrow c\rightarrow d has the V - T diagram shown below. Process d→aandb→cd\rightarrow aandb\rightarrow c are adiabatic.



    The corresponding P - V diagram for the process is (all figures are schematic and not drawn to scale) :    JEE Main/MCQ/Medium/Thermodynamic Processes/With diagram
  160. 160Consider a spherical shell of radius R at temperature T. The black body radiation inside it can be considered as an ideal gas of photons with internal energy per unit volume u=UV∝T4u=\dfrac{U}{V}\propto {T}^{4} and pressure p=13(UV)p=\dfrac{1}{3}\left(\dfrac{U}{V}\right) . If the shell now undergoes an adiabatic expansion the relation between T and R is:JEE Main/MCQ/Medium/Thermodynamic Processes
  161. 161Consider an ideal gas confined in an isolated closed chamber. As the gas undergoes an adiabatic expansion, the average time of collision between molecules increases as Vq{V}^{q} , where VV is the volume of the gas. The value of qq is:
    (γ=CPCv)\left(\gamma =\dfrac{{C}_{P}}{{C}_{v}}\right)    JEE Main/MCQ/Medium/Thermodynamic Processes
  162. 162A monoatomic gas is compressed from a volume of 2m32{m}^{3} to a volume of 1m31{m}^{3} at a constant pressure of 100Nm2100N{m}^{2}. Then it is heated at constant volume by supplying 150J150J of energy. As a result, the internal energy of the gasJEE Main/MCQ/Medium/Thermodynamic Processes
  163. 163An ideal monoatomic gas is confined in a cylinder by a spring loaded piston of cross section 8.0×10−3 m28.0 \times 10^{-3} \mathrm{~m}^2. Initially the gas is at 300 K300 \mathrm{~K} and occupies a volume of 2.4×10−3 m32.4 \times 10^{-3} \mathrm{~m}^3 and the spring is in its relaxed state as shown in figure. The gas is heated by a small heater until the piston moves out slowly by 0.1 m0.1 \mathrm{~m}. The force constant of the spring is 8000 N/m8000 \mathrm{~N} / \mathrm{m} and the atmospheric pressure is 1.0×105 N/m21.0 \times 10^5 \mathrm{~N} / \mathrm{m}^2. The cylinder and the piston are thermally insulated. The piston and the spring are massless and there is no friction between the piston and the cylinder. The final temperature of the gas will be: (Neglect the heat loss through the lead wires of the heater. The heat capacity of the heater coil is also negligible).
    JEE Main/MCQ/Medium/Thermodynamic Processes/With diagram
  164. 164During an adiabatic compression, 830 J830 \mathrm{~J} of work is done on 2 moles of a diatomic ideal gas to reduce its volume by 50%50 \%. The change in its temperature is nearly: (R=8.3JK−1 mol−1)\left(\mathrm{R}=8.3 \mathrm{JK}^{-1} \mathrm{~mol}^{-1}\right)JEE Main/MCQ/Medium/Thermodynamic Processes
  165. 165The equation of state for a gas is given by PV=nRT+αV\text{PV}=\text{nRT}+\alpha \text{V}, where n is the number of moles and α\alpha is a positive constant. The initial temperature and pressure of one mole of the gas contained in a cylinder are T0 and P0 respectively. The work done by the gas when its temperature doubles isobarically will be :JEE Main/MCQ/Medium/Thermodynamic Processes
  166. 166One mole of diatomic ideal gas undergoes a cyclic process ABC as shown in figure. The process BC is adiabatic. The temperatures at A, B and C are 400 K, 800 K and 600 K respectively. Choose the correct statement :

    JEE Main/MCQ/Medium/Thermodynamic Processes/With diagram
  167. 167A sample of gas expands from V1V_1 to V2V_2. In which of the following, the work done will be greatest?
    JEE Main/MCQ/Medium/Thermodynamic Processes/With diagram
  168. 168A certain amount of gas is taken through a cyclic process (A B C D A) that has two isobars, one isochore and one isothermal. The cycle can be represented on a P−V\mathrm{P}-\mathrm{V} indicator diagram as :JEE Main/MCQ/Medium/Thermodynamic Processes
  169. 169An ideal gas at atmospheric pressure is adiabatically compressed so that its density becomes 32 times of its initial value. If the final pressure of gas is 128 atmospheres, the value of ' γ\gamma 'of the gas is :JEE Main/MCQ/Medium/Thermodynamic Processes
  170. 170Figure shows the variation in temperature (ΔT)(\Delta \mathrm{T}) with the amount of heat supplied (Q)\mathrm{(Q)} in an isobaric process corresponding to a monoatomic (M)\mathrm{(M)}, diatomic (D)\mathrm{(D)} and a polyatomic (P)\mathrm{(P)} gas. The initial state of all the gases are the same and the scales for the two axes coincide. Ignoring vibrational degrees of freedom, the lines a,ba, b and cc respectively correspond to :
    JEE Main/MCQ/Medium/Thermodynamic Processes/With diagram
  171. 171An ideal monatomic gas with pressure PP, volume VV and temperature TT is expanded isothermally to a volume 2V2 V and a final pressure PiP_i. If the same gas is expanded adiabatically to a volume 2 V2 \mathrm{~V}, the final pressure is PaP_a. The ratio PaPi\frac{P_a}{P_i} isJEE Main/MCQ/Medium/Thermodynamic Processes
  172. 172The pressure of an ideal gas varies with volume as P=αVP=\alpha V, where α\alpha is a constant. One mole of the gas is allowed to undergo expansion such that its volume becomes ' mm ' times its initial volume. The work done by the gas in the process isJEE Main/MCQ/Medium/Thermodynamic Processes
  173. 173nn moles of an ideal gas undergo a process A→BA \rightarrow B as shown in the figure. Maximum temperature of the gas during the process is
    JEE Main/MCQ/Medium/Thermodynamic Processes/With diagram
  174. 174A given ideal gas with γ=CpCv=1.5\gamma=\frac{C_p}{C_v}=1.5 at a temperature TT. If the gas is compressed adiabatically to one-fourth of its initial volume, the final temperature will beJEE Main/MCQ/Medium/Thermodynamic Processes
  175. 175This question has Statement 1 and Statement 2. Of the four choices given after the Statements, choose the one that best describes the two Statements.
    Statement 1: In an adiabatic process, change in internal energy of a gas is equal to work done on/ by the gas in the process.
    Statement 2: The temperature of a gas remains constant in an adiabatic process.    JEE Main/MCQ/Medium/Thermodynamic Processes
  176. 176A perfect gas at 27∘C27^{\circ} \mathrm{C} is heated at constant pressure so as to double its volume. The final temperature of the gas will be, close toJEE Main/MCQ/Medium/Thermodynamic Processes
  177. 177Helium gas goes through a cycle ABCDA\mathrm{ABCDA} (consisting of two isochoric and two isobaric lines) as shown in figure. Efficiency of this cycle is nearly:
    (Assume the gas to be close to ideal gas)
    JEE Main/MCQ/Medium/Thermodynamic Processes/With diagram
  178. 178A diatomic ideal gas is used in a Car engine as the working substance. If during the adiabatic expansion part of the cycle, volume of the gas increases from V\mathrm{V} to 32 V32 \mathrm{~V} the efficiency of the engine isJEE Main/MCQ/Medium/Thermodynamic Processes
  179. 179The net work done on the gas in the cycle ABCDA isJEE Main/MCQ/Medium/Thermodynamic Processes
  180. 180The work done on the gas in taking it from DD to AA isJEE Main/MCQ/Medium/Thermodynamic Processes
  181. 181Assuming the gas to be ideal the work done on the gas in taking it from AA to BB isJEE Main/MCQ/Medium/Thermodynamic Processes
  182. 182The work of 146 kJ146 \mathrm{~kJ} is performed in order to compress one kilo mole of gas adiabatically and in this process the temperature of the gas increases by 7∘C7^{\circ} \mathrm{C}. The gas is (R=8.3 J mol−1 K−1)\left(\mathrm{R}=8.3 \mathrm{~J} \mathrm{~mol}^{-1} \mathrm{~K}^{-1}\right)JEE Main/MCQ/Medium/Thermodynamic Processes
  183. 183A system goes from AA to BB via two processes I and II as shown in the figure. If ΔU1\Delta \mathrm{U}_1 and ΔU2\Delta \mathrm{U}_2 are the changes in internal energies in the processes I and II respectively, the
    JEE Main/MCQ/Medium/Thermodynamic Processes/With diagram
  184. 184A Carnot engine (E)(\mathrm{E}) is working between two temperatures 473 K and 273 K . In a new system two engines - engine E1E_1 works between 473 K to 373 K and engine E2E_2 works between 373 K to 273 K .
    If     η12,η1\eta_{12}, \eta_1 and η2\eta_2 are the efficiencies of the engines E,E1E, E_1 and E2E_2, respectively, then    JEE Main/MCQ/Medium/Heat Engine, Refrigerator and Second Law of Thermodynamics
  185. 185Water of mass mm gram is slowly heated to increase the temperature from T1T_1 to TzT_z The change in entropy of the water, given specific heat of water is 1Jkg−1 K−11 \mathrm{Jkg}^{-1} \mathrm{~K}^{-1}, is :JEE Main/MCQ/Medium/Heat Engine, Refrigerator and Second Law of Thermodynamics
  186. 186The entropy of any system is given by,
    S=α2βln⁡[μkRJβ2+3]S={\alpha }^{2}\beta \ln \left[\dfrac{\mu kR}{J{\beta }^{2}}+3\right]
    where     α\alpha and β\beta are the constants. μ,J,k\mu ,J,k and RR are number of moles, mechanical equivalent of heat, Boltzmann's constant and gas constant, respectively.
    [TakeS=dQT]\left[\text{Take}S=\dfrac{dQ}{T}\right]
    Choose the incorrect option from the following:    JEE Main/MCQ/Medium/Heat Engine, Refrigerator and Second Law of Thermodynamics
  187. 187An ideal gas in a cylinder is separated by a piston in such a way that the entropy of one part is S1{S}_{1} and that of the other part is S2{S}_{2}. Given that S1>S2{S}_{1}\gt {S}_{2}. If the piston is removed then the total entropy of the system will be:JEE Main/MCQ/Medium/Heat Engine, Refrigerator and Second Law of Thermodynamics
  188. 188A solid body of constant heat capacity 1J(℃)−11J{\left(℃\right)}^{-1} is being heated by keeping it in contact with reservoirs in two ways: (i) Sequentially keeping in contact with 2 reservoirs such that each reservoir supplies the same amount of heat. (ii) Sequentially keeping in contact with 88 reservoirs such that each reservoir supplies the same amount of heat. In both, cases the body is brought from initial temperature 100K100K to final temperature 200K200K . Entropy change of the body in the two cases respectively is: Note: This question was awarded as a bonus since temperatures were given in centigrade instead of in Kelvin. Proper corrections are made in the question to avoid it.JEE Main/MCQ/Medium/Heat Engine, Refrigerator and Second Law of Thermodynamics
  189. 189The temperature-entropy diagram of a reversible engine cycle is given in the figure. Its efficiency is
    JEE Main/MCQ/Medium/Heat Engine, Refrigerator and Second Law of Thermodynamics/With diagram
  190. 190"Heat cannot by itself flow from a body at lower temperature to a body at higher temperature" is a statement or consequence ofJEE Main/MCQ/Medium/Heat Engine, Refrigerator and Second Law of Thermodynamics

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