n moles of an ideal gas with constant volume heat capacity C v undergo an isobaric expansion by certain…

n moles of an ideal gas with constant volume heat capacity Cv undergo an isobaric expansion by certain volume. The ratio of the work done in the process, to the heat supplied is:
  1. 4nRCv+nR
  2. 4nRCv-nR
  3. nRCv+nR
  4. nRCv-nR

Solution

From First Law of thermodynamics,
ΔQ=ΔU+Δw
ΔwΔQ=1-ΔUΔQ=1-ncvΔTncpΔT
=1-cvR+cv  
=RR+cv
As, ncv=Cv
ΔwΔQ=nRCv+nR

Asked in: JEE Main 2019 (10 Apr Shift 1)

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