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What is the reversible work done if 5 m^3 of an ideal gas is compressed isothermally from 1 Pa to 5 Pa?

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What is the reversible work done if 5 m^3 of an ideal gas is compressed isothermally from 1 Pa to 5 Pa?

(a) 4.41 J

(b) 8.01 J

(c) 10.20 J

(d) 14.18 J

This question was posed to me in final exam.

The question is from Mechanical Energy Balance topic in chapter Energy Balances that Include the Effects of Chemical Reaction, Ideal Processes, Efficiency and the Mechanical Energy Balance and Heats of Solution and Mixing of Basic Chemical Engineering

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Right option is (b) 8.01 J

The best I can explain: V2 = 1*5/5 = 1 m^3, => W = –5∫^1pdv = –5∫^1 (5/v) dv = 5 ln5 = 8.04 J.

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