An ideal monatomic gas is contained in a cylinder with a movable piston. Initially, the gas is at pressure p_0 and temperature T_0, and the cylinder has volume V_0 .
Calculate the work W done by the gas as it expands isothermally from V_0 to R_V V_0 . Express the work done in terms of p_0, V_0 , and R_V. Use ln for the natural logarithm.