AP EAMCET · PHYSICS · Thermodynamics

One mole of an ideal gas expands adiabatically from $200 \mathrm{~K}$ to $250 \mathrm{~K}$. If the specific heat of the gas at constant volume is $0.8 \mathrm{~kJ} \mathrm{~kg}^{-1} \mathrm{~K}^{-1}$, then the work done by the gas is

A $20 \mathrm{~J}$
B $20 \mathrm{~kJ}$
C $40 \mathrm{~J}$
D $40 \mathrm{~kJ}$

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Answer & Solution

Correct Answer

(D) $40 \mathrm{~kJ}$

Step-by-step Solution

Detailed explanation

No solution. Refer to answer key.

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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One mole of an ideal gas expands adiabatically from \(200 \mathrm{~K}\) to \(250 \mathrm{~K}\). If the specific heat of the gas at constant volume is \(0.8 \mathrm{~kJ} \mathrm{~kg}^{-1} \mathrm{~K}^{-1}\), then the work done by the gas is

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