Question

Derive an equation for how internal energy changes as the volume is changed from Vi to Vf in an isothermal process for:

A hypothetical equation of state P = V/T

Answer 1

there is no change in internal energy , becuause in isothermal process internal energy change is zero.

isothermal process , dT = 0

internal energy change = dU = Cv dT

                           dU = Cv x 0

                            dU = 0

so even changing volume Vi to Vf there is no change in internal enrrgy.