Compute the mass rate of cold water required in kgmin if

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A geothermal vapor compression heat pump maintains the inside air supply of a building at 30 °C and operates with the refrigerant R134a. Underground water is the source of energy for the heat pump and is pumped into the building at 12 °C. The evaporator of the heat pump is designed to operate at a temperature of 8 K below the cold-water inlet temperature. The refrigerant leaves the evaporator as saturated vapor. The condenser operates at 9 bars. The refrigerant leaves the condenser 1.53 K subcoooled. The compressor has an adiabatic efficiency of 72%.

(a) Find the temperature and pressure at each state point of the cycle, in °C and kPa.

(b) Determine the specific work into the compressor, in kJ/kg.

(c) Calculate the specific heat transfer out of the cycle, in kJ/kg.

(d) Obtain the heating coefficient of performance.

(e) Compute the mass rate of cold water required, in kg/min, if the water undergoes a temperature change in the evaporator of 4 K and the heat pump has a capacity unit of 1200 kJ/min.

(f) Sketch the cycle on a T-s diagram. Label all points and processes.

Reference no: EM13618459

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