The equation relating the pressure and volume for a gas for a particular process is: = 2 where a and b are constants and V is the specific molar volume. a. Derive an equation for the work required to isothermally and reversibly compress this gas from V1 to V2. b. Given the following values of a and b for acetylene, use your equation to find the work it would take to compress 1 moles of acetylene at 25 C in a 50 L container to 1 L at 25 C. Give your answer in kJ. a = 4.457 L 2 atm/mol2 b = 0.0522 L/mol