marrissajade5519 marrissajade5519
  • 13-09-2019
  • Engineering
contestada

A residential heat pump has a coefficient of performance of 1.49 How much heating effect, in kJ/h, will result when 4 kW is supplied to this heat pump?

Respuesta :

jbiain jbiain
  • 17-09-2019

Answer:

21.456 kJ/h

Explanation:

See the figure attached. In this case  

[tex]W_{cycle} = 4 kW [/tex]

[tex]Q_{out} = \text{heating effect}[/tex]

Coefficient of performance in heat pump is defined by

[tex]COP = \frac{Q_{out}}{W_{cycle}} [/tex]

[tex]Q_{out} =COP*W_{cycle} [/tex]

[tex]Q_{out} =1.49*4 \, W [/tex]

[tex]Q_{out} = 5.96 \, W [/tex]

Now it is necessary to change units, remember that Watt (W) is defined as J/s

[tex]Q_{out} = 5.96 \frac{J}{s} \frac{3600s}{1 h} \frac{1 kJ}{1000 J}[/tex]

[tex]Q_{out} = 21.456 \frac{kJ}{h} [/tex]

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