Question

A gas expands in a piston-cylinder device from volume `V_(1)` to `V_(2)`, the process being described by `P = a//V + b`, a and b are constants. Find the work done in the process.

Answer 1

Work done,
`W = int_(C_(1))^(V_(2)) PdV`
`= int_(V_(1))^(V_(2)) ((a)/(V) + b) dV`
`| a 1n V + b V|_(V_(1))^(V_(2))`
`(a 1n V_(2) + v V_(2)) - (a 1n V_(1) + b V_(1))`
`a 1n ((V_(2))/(V_(1))) + b (V_(2) - V_(1))`