A) Derive the equation for the work of reversible isothermal expansion of a van der Waals gas from V1 to V2.
B) A mole of CH4 expands reversibly from 1 to 50 L at 25 degrees Celsius. Calculate the work in Joules assuming 1) the gas is ideal and 2) the gas obeys the van der Waals equation. For CH4 (g), a = 2.283 L^2 bar mol^-2 and b = 0.04278 L mol^-1