HC Verma Chapter 25 Problem 40

Problem

How does the internal energy of 1 mole of an ideal gas change when heated at (a) const V (b) const P by same dT?

Key Concepts

dU=nCv dT regardless of process for ideal gas.

Solution

(a) dU=Cv dT. (b) dU=Cv dT. Same in both cases.

Answer

dU = Cv dT in both cases

Concept Check

Internal energy of ideal gas depends only on T.

Common Mistakes

Thinking dU=Cp dT for const P.

Practice Tip

dU=Cv dT for ANY process of ideal gas.