EFFECT}{Work\ Input} = \frac{T_L}{T_H\;-\;T_L}\)where TH = ABSOLUTE higher temperature, TL = Absolute lower temperatureCalculation:Given:TH = 27°C = 300 K, TL = -23°C = 250 K, Refrigeration Effect = 2.5 kJ/s.\(COP = \frac{250}{300\;-\;250}\)\(COP = \frac{250}{50} = 5\)Now, \(COP=\frac{Refrigeration\ Effect}{Work\ Input}\)\(5=\frac{2.5}{Work\ Input}\)\(Work\ Input=\frac{2.5}{5}\)Work Input = 0.5 kWHence the least power necessary to PUMP this heat out CONTINUOUSLY is 0.5 kW.

"> EFFECT}{Work\ Input} = \frac{T_L}{T_H\;-\;T_L}\)where TH = ABSOLUTE higher temperature, TL = Absolute lower temperatureCalculation:Given:TH = 27°C = 300 K, TL = -23°C = 250 K, Refrigeration Effect = 2.5 kJ/s.\(COP = \frac{250}{300\;-\;250}\)\(COP = \frac{250}{50} = 5\)Now, \(COP=\frac{Refrigeration\ Effect}{Work\ Input}\)\(5=\frac{2.5}{Work\ Input}\)\(Work\ Input=\frac{2.5}{5}\)Work Input = 0.5 kWHence the least power necessary to PUMP this heat out CONTINUOUSLY is 0.5 kW.

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The ambient air temperature is 27 °C and a domestic food freezer maintains a temperature of -23 °C. If heat leaks into the freezer at the continuous rate of 2.5 kJ/s then determine the least power necessary to pump this heat out continuously

General Knowledge General Awareness in General Knowledge . 6 months ago

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Concept:We know COP of a refrigerator is given by:\(COP =\frac{Refrigeration\ EFFECT}{Work\ Input} = \frac{T_L}{T_H\;-\;T_L}\)where TH = ABSOLUTE higher temperature, TL = Absolute lower temperatureCalculation:Given:TH = 27°C = 300 K, TL = -23°C = 250 K, Refrigeration Effect = 2.5 kJ/s.\(COP = \frac{250}{300\;-\;250}\)\(COP = \frac{250}{50} = 5\)Now, \(COP=\frac{Refrigeration\ Effect}{Work\ Input}\)\(5=\frac{2.5}{Work\ Input}\)\(Work\ Input=\frac{2.5}{5}\)Work Input = 0.5 kWHence the least power necessary to PUMP this heat out CONTINUOUSLY is 0.5 kW.

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Posted on 21 Nov 2024, this text provides information on General Knowledge related to General Awareness in General Knowledge. Please note that while accuracy is prioritized, the data presented might not be entirely correct or up-to-date. This information is offered for general knowledge and informational purposes only, and should not be considered as a substitute for professional advice.

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