Thermodynamics

JEE Main level, single correct, medium

86 of 190

Question 86 of 190

A 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 :

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Answer: (C) 350 J350 \mathrm{~J}

For Isobaric process
w=PΔv=nRΔT=100 JQ=Δu+wΔQ=F2nRΔT+nRΔT(f2+1)nRΔT(52+1)100=350 J\begin{aligned} & \mathrm{w}=\mathrm{P} \Delta \mathrm{v}=\mathrm{nR} \Delta \mathrm{T}=100 \mathrm{~J} \\ & \mathrm{Q}=\Delta \mathrm{u}+\mathrm{w} \\ & \Delta \mathrm{Q}=\frac{\mathrm{F}}{2} \mathrm{nR} \Delta \mathrm{T}+\mathrm{nR} \Delta \mathrm{T} \\ & \left(\frac{\mathrm{f}}{2}+1\right) \mathrm{nR} \Delta \mathrm{T} \\ & \left(\frac{5}{2}+1\right) 100=350 \mathrm{~J}\end{aligned}
SECTION - B

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