A piston can move freely inside a horizontal cylinder closed at both ends. Initially the piston divides the space inside of the cylinder into two equal parts each of volume V_0 and containing an ideal gas under the same pressure P_0 and at the same temperature T _0. What work must be done by the external agent in order to increase isothermally the volume of one part of the gas n times compared to that of the other by slowly moving the piston ?

A piston can move freely inside a horizontal cylinder closed at both e

1.	A piston can move freely inside a horizontal cylinder closed at both ends. Initially the piston divides the space inside of the cylinder into two equal parts each of volume V_0 and containing an ideal gas under the same pressure P_0 and at the same temperature T _0. What work must be done by the external agent in order to increase isothermally the volume of one part of the gas n times compared to that of the other by slowly moving the piston ?
Answer» SOLUTION :`P_0 V_0In ((n+1)^2)/(4N)`