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A large refrigeration plant is to be maintained at 15C,-15^{\circ} \mathrm{C}, and it requires refrigeration at a rate of 100 kW. The condenser of the plant is to be cooled by liquid water, which experiences a temperature rise of 8C8^{\circ} \mathrm{C} as it flows over the coils of the condenser. Assuming the plant operates on the ideal vapor-compression cycle using refrigerant-134a between the pressure limits of 120 and 700 kPa, determine (a) the mass flow rate of the refrigerant, (b ) the power input to the compressor, and (c) the mass flow rate of the cooling water.

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Given

  • Q˙L=100 kW\dot Q_L=100\text{ }kW
  • ΔTW=8°C\Delta T_W=8\degree C
  • P2,3=700 kPaP_{2,3}=700\text{ }kPa
  • P1,4=120 kPaP_{1,4}=120\text{ }kPa

Enthalpies at all stages of the cycle should be determined. Once that is known, further calculation is simple.

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