The water in a deep underground well is used as the cold resevoir of a carnot heat pump that maintains the temperature of a house at 308 k. to deposit 13900 j of heat in the house, the heat pump requires 900 j of work. determine the temperature of the well water.
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Ответ:
The temperature of well water be 288.07 K
Explanation:
We have given Heat in house![Q_H=13900J](/tpl/images/0256/4673/75265.png)
Work done W = 900 J
Efficiency is given by![\eta =\frac{W}{Q_H}=\frac{900}{13900}=0.0647](/tpl/images/0256/4673/3df7a.png)
Efficiency is also given by
, here
is lower temperature and
is higher temperature
So![0.0647=1-\frac{T_L}{T_H}](/tpl/images/0256/4673/cb306.png)
So the temperature of well water be 288.07 K
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