Question

(b) A heat pump that is installed to keep a commercial facility space at 19 °C during winter by absorbing heat from a nearby geothermal source at steady-state operation. Hot water (Geo. water) at 61 °C enters the evaporator section of the heat pump and leaves at 41 °C. Refrigerant 22 as a working fluid in the heat pump enters the evaporator at a rate of 0.062 kg/s at 14 °C and quality of 11%. The refrigerant leaves the evaporator at the same pressure as a saturated vapor. The power consumed by the compressor of the heat pump is measured at 2.7 kW. Figure Q2b shows the schematics of the system. Expansion valve Condenser Evaporator Compressor Win Geo. water Figure Q2b: Schematics of the heat pump Determine, (i) The mass flow rate of the water from the geothermal source [5 Marks] (ii) The rate of heat supply to the commercial facility space through the condenser [5 Marks] (iii) The coefficient of performance (COP) of the heat pump [5 Marks], and (iv) The minimum theoretical power input to the compressor for the same rate of heat supply to the conditioned space. [5 Marks] Sat. vapor

          (b) A heat pump that is installed to keep a commercial facility space at 19 °C during winter by absorbing heat from a nearby geothermal source at steady-state operation. Hot water (Geo. water) at 61 °C enters the evaporator section of the heat pump and leaves at 41 °C. Refrigerant 22 as a working fluid in the heat pump enters the evaporator at a rate of 0.062 kg/s at 14 °C and quality of 11%. The refrigerant leaves the evaporator at the same pressure as a saturated vapor. The power consumed by the compressor of the heat pump is measured at 2.7 kW. Figure Q2b shows the schematics of the system.

Expansion
valve
Condenser
Evaporator
Compressor
Win
Geo. water
Figure Q2b: Schematics of the heat pump
Determine,
(i) The mass flow rate of the water from the geothermal source [5 Marks]
(ii) The rate of heat supply to the commercial facility space through the condenser [5 Marks]
(iii) The coefficient of performance (COP) of the heat pump [5 Marks], and
(iv) The minimum theoretical power input to the compressor for the same rate of heat supply to the conditioned space. [5 Marks]
Sat. vapor

(b) A heat pump that is installed to keep a commercial facility space at 19 °C during winter by absorbing heat from a nearby geothermal source at steady-state operation. Hot water (Geo. water) at 61 °C enters the evaporator section of the heat pump and leaves at 41 °C. Refrigerant 22 as a working fluid in the heat pump enters the evaporator at a rate of 0.062 kg/s at 14 °C and quality of 11%. The refrigerant leaves the evaporator at the same pressure as a saturated vapor. The power consumed by the compressor of the heat pump is measured at 2.7 kW. Figure Q2b shows the schematics of the system.

Expansion
valve
Condenser
Evaporator
Compressor
Win
Geo. water
Figure Q2b: Schematics of the heat pump
Determine,
(i) The mass flow rate of the water from the geothermal source [5 Marks]
(ii) The rate of heat supply to the commercial facility space through the condenser [5 Marks]
(iii) The coefficient of performance (COP) of the heat pump [5 Marks], and
(iv) The minimum theoretical power input to the compressor for the same rate of heat supply to the conditioned space. [5 Marks]
Sat. vapor

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