In: Physics
Construct a closed PV-cycle for a gas of N= 12^22 particles, so that the final point is equal to the initial point. For each step and assuming that this is an ideal gas (so PV=NkT) and also that there is no loss of heat due to inefficiency, a) calculate/estimate the total work done BY the system (not ON the system) for each step (if your step isn't 'straight', you'll have to approximate the area under the curve), b) for each step, use the ideal gas law to estimate the temperatures at the endpoints of each step, and therefore the change in internal energy U, c) combining b) with a), estimate the heat added or withdrawn from the system for each step.