Question

What is the reversible work done if 4 m^3 of an ideal gas is compressed adiabatically pV1.5 = K from 2 Pa to 16 Pa?

(a) 4 J

(b) 16 J

(c) 24 J

(d) 56 J

I had been asked this question in class test.

My question is from Mechanical Energy Balance topic in portion 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

Correct option is (b) 16 J

For explanation: V2 = (2*4^1.5/16)^1/1.5 = 1 m^3, => W = –4∫^1pdv = –4∫^1 (16/v^1.5) dv = 16 J.