Suppose water clusters containing up to 50 molecules. If we add 500 water molecules at 0c with 500 water molecules forming ice at 0c . (a) The heat flow would be from ice to water or water to ice. (b) Which thermodynamic property directed the heat flow for the above situation. (c) Justify the heat flow direction from Boltzmann entropy equation.

4r-134a enters the condenser of a residential heat pump at 800 kpa and 50°c at a rate of 0.022 kg/s and leaves at 750 kpa subcooled by 3°c. the refrigerant enters the compressor at 200 kpa superheated by 4°c determine (a) the isentropic efficiency of the compressor, (b) the rate of heat supplied to the heated room, and (c) the cop of the heat pump. also, determine (d) the cop and rate of heat supplied to the heated room if this heat pump operated on the ideal vapor-compression cycle between the pressure limits of 200 and 800 kpa. (0.757, 4.37 kw, 5.12, 6.18, 3.91 kw)