Heat Pumps for Heating and Cooling

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Heat Pumps for Heating and Cooling ( heat-pumps-heating-and-cooling )

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Heat Pumps for Heating and Cooling A general expression for the efficiency of a heat engine can be written as: Using the same logic that was used for heat engines, this expression becomes: Where, Q hot = Heat input at high temperature and Q cold = Heat rejected at low temperature. The expression can be rewritten as: Note: Thot and Tcold must be expressed in the Kelvin scale. Example 1 Calculate the ideal coefficient of performance (COP) for an air-to-air heat pump used to maintain the temperature of a house at 70°F when the outside temperature is 30°F. Solution: First, convert the Fahrenheit temperatures to Celsius temperatures using this formula: Thot =(70−32)×5/9=21°C Tcold =(30−32)×5/9=−1°C Next, convert the Celsius temperatures to Kelvin temperatures by adding 273. T hot = 21°C + 273 = 294K T cold = −1°C+273=272K Finally, use the formula from the previous screen to solve for the COP. COP= 294K / (294K−272K) = 294 / 22 =13.3 23

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