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3 September, 21:04

3.113 A heat pump is under consideration for heating a research station located on Antarctica ice shelf. The interior of the station is to be kept at 15℃. Determine the maximum theoretical rate of heating provided by a heat pump, in? W p?? W of power input in each of two cases: The role of the cold reservoir is played by (a) the atmosphere at - 20℃, (b) ocean water at 5℃.

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  1. 3 September, 23:03
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    a. β = 8.23 K

    b. β = 28.815 K

    Explanation:

    Heat pump can be find using the equation

    β = TH / TH - TC

    a.

    TH = 15 ° C + 273.15 K = 288.15 K

    TC = - 20 ° C + 273.15 K = 253.15 K

    β = 288.15 K / 288.15 k - (253.15 K)

    β = 8.23 K

    b.

    TH = 15 ° C + 273.15 K = 288.15 K

    TC = 5 ° C + 273.15 K = 278.15 K

    β = 288.15 K / 288.15 k - (278.15 K)

    β = 28.815 K
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