Question

What is the reversible work done if 4 m^3 of an ideal gas is compressed isothermally from 2 Pa to 8 Pa?

(a) 2.01 J

(b) 6.11 J

(c) 8.56 J

(d) 11.09 J

The question was asked in exam.

Question is taken from Mechanical Energy Balance in division 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

Answer 1

The correct answer is (d) 11.09 J

To explain: V2 = 2*4/8 = 1 m^3, => W = –4∫^1pdv = –4∫^1 (8/v) dv = 8 ln4 = 11.09 J.