Isothermal Expansion: Work and Heat

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.

(1) 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.

(2) Calculate the quantity of heat Q that must be delivered to the gas as it expands from V_0 to R_V V_0.

Express your answer in terms of p_0,V_0 , and R_V. Use ln for the natural logarithm.

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