Isochoric Process Work Done – Rankers Physics
Topic: Thermal Physics
Subtopic: Thermodynamics

Isochoric Process Work Done

Assertion (A): In an isochoric process, work done by the gas is zero.
Reason (R): In a process, if initial volume is equal to the final volume, work done by the gas is zero.
 
(1) Both (A) & (R) are true and the (R) is the correct explanation of the (A)
(2) Both (A) & (R) are true but the (R) is not the correct explanation of the (A)
(3) (A) is true but (R) is false
(4) Both (A) and (R) are false

Solution:

In an isochoric process, volume is constant, so \(Delta V = 0\). Work done \(W = PDelta V = 0\). So (A) is true. However, in a cyclic process, initial and final volumes are equal, but net work done is generally non-zero (area of the cycle on \(P-V\) diagram). So (R) is false.

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