Work done in Isothermal and Reversible Expansion
Work done in Isothermal and Reversible Expansion
Let us consider 'n' moles of an ideal gas enclosed in a cylinder fitted with a frictionless, weightless and movable piston. Let P be the pressure of the gas and P-dP be the external pressure under which volume of the gas increased by dV, then work done in this expansion isdw = −(P − dP)dV = − PdV (as dP.dV is very small).
For a infinite volume change from V1 to V2, the total work done during expansion-
where P1 and P2 are the initial and final pressure respectively.
Question: 3 moles of an ideal gas are expanded isothermally and reversibly from volume of 10 m3 to the volume 20 m3 at 300 K. Claculate the work done by the system.
[Hints: Answer: 5.178 KJ]Work done in Reversible Adiabatic Process
Share
