AP EAMCET · Chemistry · Thermodynamics (C)

Which among the following are true for an irreversible isothermal expansion of an ideal gas?
(i) \(W=-Q\)
(ii) \(\Delta U=0\)
(iii) \(\Delta H \neq 0\)
(iv) \(\Delta T=0\)

A (i), (ii) and (iii)
B (i), (ii) and (iv)
C (ii), (iii) and (iv)
D (i), (ii), (iii) and (iv)

Verified Solution

Answer & Solution

Correct Answer

(B) (i), (ii) and (iv)

Step-by-step Solution

Detailed explanation

In case of isothermal irreversible expansion, the gas is allowed to expand slowly, its temperature tends to fall but some of heat from surrounding is conducted to gas, keeping temperature constant \((\Delta T=0)\). Internal energy is directly proportional to \(\Delta T\).…

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 among the following are true for an irreversible isothermal expansion of an ideal gas?(i) \(W=-Q\)(ii) \(\Delta U=0\)(iii) \(\Delta H \neq 0\)(iv) \(\Delta T=0\)

Step-by-step Solution

Which among the following are true for an irreversible isothermal expansion of an ideal gas?
(i) \(W=-Q\)
(ii) \(\Delta U=0\)
(iii) \(\Delta H \neq 0\)
(iv) \(\Delta T=0\)