Define isothermal process. Derive an expression for work done in isothermal . process.

Explanation

The work done by the gas, `W=int_(V_(i))^(V_(f))P.dV`
Writing pressure in terms of volume and temperature
`P=(muRT)/(V)`
Substituting this value, we get
`W=int_(V_(i))^(V_(f))(muRT)/(V)dV=muRTint_(V_(i))^(V_(f))(dV)/(V)`
By performing the integration in equation, we get
`W=muRT ln ((V_(f))/(V_(i)))`