COMEDK · Chemistry · 6. Thermodynamics (C)

For an ideal gas undergoing an isothermal change, there is

A an increase in Internal energy of the system and heat absorbed by the system is greater than the work done on the system
B no change in Internal energy of the system and heat absorbed by the system is equal to the work done by the system
C no change in Internal energy of the system and heat released by the system is equal to the work done by the system
D a decrease in Internal energy of the system and heat released by the system is equal to the work done by the system

Verified Solution

Answer & Solution

Correct Answer

(B) no change in Internal energy of the system and heat absorbed by the system is equal to the work done by the system

Step-by-step Solution

Detailed explanation

For an ideal gas, the internal energy depends only on its temperature. In an isothermal process, the temperature remains constant (\(\Delta T = 0\)). Therefore, the change in internal energy is zero (\(\Delta U = 0\)). According to the first law of thermodynamics:…

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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