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Question: What will be the work done when one mole of a gas expands isothermally from 15 L to 50 L against a c...

What will be the work done when one mole of a gas expands isothermally from 15 L to 50 L against a constant pressure of 1 atm at 25oC25^{o}C?

A

– 3542 cal

B

843.3- 843.3cal

C

– 718 cal

D

60.23- 60.23 cal

Answer

– 718 cal

Explanation

Solution

: Work done in reversible isothermal expansion,

W=2.303nRTlogV2V1W = - 2.303nRT\log\frac{V_{2}}{V_{1}}

=2.303×1×2×298×log5015=717.8cal= - 2.303 \times 1 \times 2 \times 298 \times \log\frac{50}{15} = - 717.8cal

(R = 2 cal K1mol1K^{- 1}mol^{- 1})