2W04 Assignment 6 -2009 Solutions

5 300 k 1 1 1125 k 16 tl

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Unformatted text preview: kW 10 kW 6. A reversible heat pump is considered. The temperature of the source and the rate of heat transfer to the sink are to be determined. Assumptions The heat pump operates steadily. Analysis Combining the first law, the expression for the coefficient of performance, and the thermodynamic temperature scale gives COPHP, max 300 K & QH TH = TH − TL HP & QL which upon rearrangement becomes ⎛ 1 T L = T H ⎜1 − ⎜ COPHP, max ⎝ 1.5 ⎞ ⎟ = (300 K )⎛1 − 1 ⎞ = 112.5 K ⎟ ⎜ ⎟ ⎝ 1.6 ⎠ ⎠ TL Based upon the definition of the heat pump coefficient...
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