Question

The thermodynamic process in which no work is done by the gas or on the gas is

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

Hint:

Work is P times the volume change, so a constant-volume process does no work.

Answer 1

The Correct Option is D

Step 1: Work Formula:
Work done by a gas is \(W=\int P\,dV\). It is zero when \(dV=0\).

Step 2: Check Each Process:
Isothermal: volume changes at constant temperature, so work is done.
Adiabatic: volume changes without heat flow, so work is done at the cost of internal energy.
Isobaric: volume changes at constant pressure, so \(W=P\Delta V\neq0\).
Isochoric: volume is constant, so \(W=0\).

Step 3: Conclusion:
Only the isochoric process has no work done.

Final Answer:
The isochoric process does no work, option (D). \[ \boxed{\text{(D) isochoric process}} \]