Which one among the following is the correct option for right relationship between CP and CV for one mole of ideal gas?
- CV = RCP
- CP + CV = R
- CP - CV = R
- CP = RCV
Answer
(3) CP - CV = R
Solution
For one mole of an ideal gas:
At constant volume: qV = CV T = U
At constant pressure: qP = CP T = H
⇒ H = U + (PV) = U + R T (for 1 mol, PV = RT)
⇒ CP T = CV T + R T
∴ CP - CV = R
Answer: (3)