MHT CET · Chemistry · Thermodynamics (C)

Which of the following processes exhibits increase in internal energy?

A Adiabatic compression of gas.
B Adiabatic expansion of gas.
C Isothermal expansion of gas.
D Isothermal compression of gas.

Verified Solution

Answer & Solution

Correct Answer

(A) Adiabatic compression of gas.

Step-by-step Solution

Detailed explanation

In adiabatic process, there is no exchange of heat between system and its surroundings. So, \(-\Delta \mathrm{U}=-\mathrm{W}\) or \(\Delta \mathrm{U}=\mathrm{W}\) During compression work is done on the system by the surroundings. Therefore, \(\mathrm{W}\) is positive. Thus, the internal energy would increase during the adiabatic compression of a gas.

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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