The work done during reversible isothermal expansion of one mole of hydrogen gas at $25^{\circ}C$ fr

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The work done during reversible isothermal expansion of one mole of hydrogen gas at $25^{\circ}C$ from pressure of 20 atmosphere to 10 atmosphere is(Given $R = 2.0calK^{- 1}{	ext{ }mol}^{- 1}$ )

Accepted Answer

Sol. [Key Concept: Reversible isothermal expansion work]Using the chemistry sign convention and ideal gas behaviour,w = −nRT ln(V₂/V₁) = −nRT ln(P₁/P₂).Thus w = −1 × 2.0 × 298 × ln(20/10) ≈ −413.1 cal,agreeing with option (4), −413.14 calories within rounding.Expansion gives negative work on the system; work done by the gas has the opposite sign.

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