Task: A heat pump delivers 8 kJ thermal energy to the high temperature reservoir (the inside of the house). Consider the following five cases for the power consumed in the heat pump: a) W = 8 kJ b) W = 0 kJ c) W = 1 kJ d) W = 0.5 kJ e) W = 0.87 kJ Using the Clausius statement of the Second Law of Thermodynamics. Determine if the cycle is possible. Also, determine the cyclic heat transfer (fQ) in each case. Is there a relationship between this cyclic integral and the possibility of the cycle occurring?