How much ice at a temperature of -16.5 ∘c must be dropped into the water so that the final temperature of the system will be 26.0 ∘c ? take the specific heat of liquid water to be 4190 j/kg⋅k, the specific heat of ice to be 2100 j/kg⋅k, and the heat of fusion for water to be 3.34×105 j/kg . view available hint(s)

Refrigerant-134a flows through a carnot heat pump cycle at 0.5 kg/s. it is known that the maximum absolute temperature in the cycle is 1.1 times the minimum absolute temperature, and the net power input to the cycle is 2.5 kw. if the refrigerant changes from a saturated vapor to a saturated liquid during the heat rejection process, determine the maximum magnitude of the enthalpy of vaporization for this process in kj/kg (with 3 significant figures).