Question

Heat supplied $dQ$ = increase in internal energy $dU$ is true for \dots

• A. isothermal process.
• B. adiabatic process.
• C. isobaric process.
• D. isochoric process.

Hint:

Learn the zeroes of thermodynamics:
- Isochoric: $dV = 0 \implies dW = 0 \implies dQ = dU$
- Isothermal: $dT = 0 \implies dU = 0 \implies dQ = dW$
- Adiabatic: $dQ = 0 \implies dU = -dW$

Answer 1

The Correct Option is D

Step 1: Understanding the Concept:
According to the First Law of Thermodynamics: $dQ = dU + dW$.

Step 2: Formula Application:
Work done $dW = P dV$.

Step 3: Explanation:
In an isochoric process, the volume remains constant ($dV = 0$). Therefore, the work done $dW$ is zero. The first law simplifies to $dQ = dU$.

Step 4: Final Answer:
This is true for an isochoric process.