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

Assertion :CPCV=R for an ideal gas. Reason: [UV]T=0 for an ideal gas

A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
Assertion is correct but Reason is incorrect
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
Assertion is incorrect but Reason is correct
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
R=CpCv
This is so because U depends on temperature only, and dU is the same for any dT , regardless of what caused the change. For an adiabatic process, Q = 0 , so dU = -W = -p dV = Cv dT . From the ideal gas law, pV = RT (n= 1), p dV + V dp = R dT and we have that R = CpCv .

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
The Ideal Gas Equation
CHEMISTRY
Watch in App
Join BYJU'S Learning Program
CrossIcon