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Which expression is correct for the work done in adiabatic reversible expansion

Which expression is correct for the work done in adiabatic reversible expansion of an ideal gas

Options

(a) W = nRT ln V₂ / V₁
(b) Cv ( T₂ – T₁)
(c) W = PΔV
(d) W = -²∫₁ PdV

Correct Answer:

Cv ( T₂ – T₁)

Explanation:

work done in adiabatic reversible expansion of an ideal gas = Cv (T₂ – T₁).

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