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2 September, 15:07

Refrigerant-134a enters the condenser of a residential heat pump at 800 kPA and 35oC at a rate of 0.018 kg/s and leaves at 800 kPa as a saturated liquid. If the compressor consumes 1.2 kW of power, determine

(a) the COP of the heat pump

(b) the rate of heat absorbtion from the outside air.

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  1. 2 September, 16:15
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    (A) COP = 2.64

    (B) rate of heat absorption = 1.9637 kW

    Explanation:

    mass flow rate (m) = 0.018 kg/s

    work input (Win) = 1.2kW

    inlet pressure (P1) = 800kPa

    inlet temperature (T1) = 35 degree Celsius

    h1 = 271.24 KJ/Kg

    outlet pressure (P2) = 800 kPa

    outlet temperature (T2) = ?

    entalphy (h2) = 95.48 KJ/Kg

    The entalphies are gotten from tables for refrigerant 134a at the temperatures and pressures above

    (A) COP = Qh : Win

    where Qh = m (h1 - h2) from the energy balance equation

    Qh = 0.018 (271.24 - 95.48) = 3.1637 kW

    COP = 3.1637 : 1.2 = 2.64

    (B) rate of heat absorption = Qh - Win

    = 3.1637 - 1.2 = 1.9637 kW
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