Question

Which of the following processes exhibits, \(\Delta U = 0\)?

• A. Adiabatic process
• B. Isothermal process
• C. Isobaric process
• D. Isochoric process

Hint:

For an ideal gas $\Delta U$ depends only on temperature.

Answer 1

The Correct Option is B

Step 1: Recall the concept
For an ideal gas, internal energy depends only on temperature, \(\Delta U=nC_V\Delta T\).

Step 2: Check each process
(A) Adiabatic: \(q=0\) but \(\Delta U=w\ne0\).
(B) Isothermal: \(\Delta T=0\) so \(\Delta U=0\).
(C) Isobaric: \(T\) changes, so \(\Delta U\ne0\).
(D) Isochoric: \(w=0\) but \(\Delta U=q\ne0\).

Final Answer:
Isothermal process gives \(\Delta U=0\), option (B). \[ \boxed{\text{(B)}} \]