question archive A heat pump is designed to transfer heat to a space that you want to maintain at 25ºC at a rate of 300 kJ / min

A heat pump is designed to transfer heat to a space that you want to maintain at 25ºC at a rate of 300 kJ / min

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A heat pump is designed to transfer heat to a space that you want to maintain at 25ºC at a rate of 300 kJ / min. While this is happening, outer space is at a temperature of -8ºC.

a) Make a graph of the machine.

b) Write the energy balance for this machine, justifying all the assumptions.

c) Determine the maximum coefficient of performance that this machine could have. Justify all the assumptions made.

d) Determine the minimum power that is necessary to provide the heat pump to operate according to specifications. Justify all the assumptions made.

e) When the power delivered to the heat pump is the minimum (calculated in (d)), calculate the rate of heat exchanged with the outside environment (cold source).

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HEAT PUMPS

 

A heat pump is a thermal cycle that has an opposite goal of a refrigeration cycle. In a typical refrigeration cycle, we apply work by compressing the refrigerant to make a cold reservoir's temperature constant and absorbing heat and throwing it away to the high temperature reservoir. In a heat pump, it is the opposite. Although the process stays the same, the desired goal is different.

 

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Step-by-step explanation

GENERAL ASSUMPTIONS:

a) No significant pressure drop in the system

b) No Heat Loss (Perfect insulation)

c) Changes in Kinetic Energy and Potential Energy are negligible

d) System runs on Ideal Reverse Carnot Cycle

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