A weight rests on a piston that confines a gas in a 1.5 ft diameter cylinder. The mass of the piston and the weight together is 331 lbm. Assuming local acceleration due to gravity of 32.20 ft/s2 and atmospheric pressure of 14.73 psi, determine the:

a. Force, in Newtons, exerted on the gas by the atmosphere, the piston, and the weight, assuming no friction between the piston and the cylinder. [5 pts.]

b. Pressure of the gas in psia. [5 pts.]

c. If the gas cylinder is heated, it expands, pushing the piston and weight upward. If the piston and weight are raised to 2.72 ft, determine the work done by the gas in and the potential energy of the piston and weight.