Thermodynamics

JEE Main level, numerical answer, medium

42 of 190

Question 42 of 190

One 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)

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Answer: 17258

Process of isothermal
W=nRTℓn(V2V1)W=nRT\ell n\left(\dfrac{{V}_{2}}{{V}_{1}}\right)
=1×8.3×300×ln⁡2=1\times 8.3\times 300\times \ln 2
=17258×10−1J=17258\times {10}^{-1}J

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