A rigid cylinder contains a freely moving piston. Initially, it divides the cylinder into equal volumes, and each side of the piston contains 1 mole of an ideal gas at 5C and 1 bar. An electrical resistance heater is installed on side A of the piston as shown below and is energized to slowly heat the gas on side A to 175C. If the tank and the piston are perfect insulators, calculate the heat added to the system by the resistance heater. The molar heat capacities of the gas are: Cv=(3/2)R and Cp=(5/2)R. (Hint: choose your system wisely.)