Question

Which of the following processes exhibits that \(\Delta U=Q_{v}\) ?

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

Hint:

If the volume is constant, no pressure-volume work is done.

Answer 1

The Correct Option is C

Step 1: Meaning of Q_v
$Q_{v}$ is the heat exchanged at constant volume.

Step 2: Use the first law
With no volume change, no work is done, so heat goes entirely into internal energy.

Step 3: Eliminate
Isobaric gives $\Delta H=Q_{p}$. Adiabatic has $Q=0$. Isothermal has $\Delta U=0$ for an ideal gas.

Final Answer:
Only the isochoric process gives $\Delta U=Q_{v}$. \[ \boxed{\text{(C) }\text{Isochoric}} \]