wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

One mole of an ideal gas with heat capacity at constant pressure Cp undergoes the process T=T0+αV, where T0 and α are constants, T is temperature and V is volume of the gas. The specific heat capacity of the gas as a function of its volume is: (if Cp and CV denote specific heat at constant pressure and constant volume respectively)

A
C=CP+RT0αV
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
C=CP
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
C=CV+RT0αV
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
C=RT0αV
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A C=CP+RT0αV
The specific heat is given by
C=CV+PndVdT
We have,
T=T0+αV
dTdV=0+α
dVdT=1α
Pn=RTV=RV[T0+αV]
=RTV+Rα
C=CV+(RT0V+Rα)×1α
=(CV+R)+RT0αV
C=CP+RT0αV

flag
Suggest Corrections
thumbs-up
6
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Calorimetry
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon