Pertains to vertical piston-cylinder assembly. A vertical shaft whose cross-sectional area is 0.8cm^2 is attached to the top of the piston. The total mass of the post on and shaft is 25kg. While the gas is slowly heated, the internal energy of the gas increases by 0.2kJ, and a force of 1334 N is exerted on the shaft. The piston and cylinder are poor conductors, and friction between them is negligible. The local atmospheric pressure is 1 bar and g=9.81m/s^2. Determine, (a) the work done by the shaft, (b) the work done in displacing the atmosphere, and (c) the heat transfer to the gas, all in kJ. (d) Using calculated and given data, develop a detailed accounting of the heat transfer or energy to the gas.