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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.

Respuesta :

Answer:

The temperature of well water be 288.07 K

Explanation:

We have given Heat in house [tex]Q_H=13900J[/tex]

Work done W = 900 J

Efficiency is given by [tex]\eta =\frac{W}{Q_H}=\frac{900}{13900}=0.0647[/tex]

Efficiency is also given by [tex]\eta =1-\frac{T_L}{T_H}[/tex], here [tex]T_L[/tex] is lower temperature and [tex]T_H[/tex] is higher temperature

So [tex]0.0647=1-\frac{T_L}{T_H}[/tex]

[tex]0.0647=1-\frac{T_L}{308}[/tex]

[tex]T_L=288.07K[/tex]

So the temperature of well water be 288.07 K

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