MHT CET · Physics · Thermodynamics

Which one of the following equations specifies an isochoric process?
\(\text {[ } Q=\text { heat supplied, } \Delta p=\text {change in pressure, }\) \(\Delta V=\text { change in volume, } \Delta T=\text { change in temperature }]\)

A \(\Delta V=0\)
B \(Q=0\)
C \(\Delta P=0\)
D \(\Delta T=0\)

Verified Solution

Answer & Solution

Correct Answer

(A) \(\Delta V=0\)

Step-by-step Solution

Detailed explanation

Isochoric process is the process that occurs at constant volume. In other words, the change in volume is zero.
\(\Delta V=0\)

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

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Which one of the following equations specifies an isochoric process?\(\text {[ } Q=\text { heat supplied, } \Delta p=\text {change in pressure, }\) \(\Delta V=\text { change in volume, } \Delta T=\text { change in temperature }]\)

Step-by-step Solution

Which one of the following equations specifies an isochoric process?
\(\text {[ } Q=\text { heat supplied, } \Delta p=\text {change in pressure, }\) \(\Delta V=\text { change in volume, } \Delta T=\text { change in temperature }]\)