Question

Energy is added to a piston-cylinder arrangement. The piston is withdrawn in such a way that the temperature remains constant. The initial pressure and volume are 200 KPa and 2m^3, respectively. If the final pressure is 100 KPa, determine the work done by the ideal gas on the piston. ( Assume T1 & T2 are constant)

Answer 1

If temperature is constant,

P = Po*Vo/V

and Work out = Integral of P dV
(from V1 to V2)

= (Po*Vo) * Integral of dV/V

= Po*Vo ln(V2/V1)

= Po*Vo ln(P1/P2)

= 400 ln2 kJ

Answer 2

Student