Answer to Question #99347 in Molecular Physics | Thermodynamics for Semira

Question

One mile of a mono atomic gas is taken from an initial pressure P and volume v to final pressure 2p and volume 2v by isothermal expansion and compression show the path in PV diagram and calculate the work done and energy absorbed by the gas?

Answer 1

For isothermal process, temperature is constant, thus the heat and energy and work done are equal due to no change in internal energy

and given by W=P_i V_i ln(V_f/V_i)

Since

V_f=2V_i

Thus W=P_i V_i ln(2)

or,

W=RTln(2)