Refrigeration units can be rated in tons. A 1-ton air

Chapter 15, Problem 63

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Refrigeration units can be rated in “tons.” A 1-ton air conditioning system can remove sufficient energy to freeze 1 ton (2000 pounds = 909 kg) of \(\mathrm {0^\circ C}\) water into \(\mathrm {0^\circ C}\) ice in one 24-h day. If, on a \(\mathrm {35^\circ C}\) day, the interior of a house is maintained at \(\mathrm {22^\circ C}\) by the continuous operation of a 5-ton air conditioning system, how much does this cooling cost the homeowner per hour? Assume the work done by the refrigeration unit is powered by electricity that costs $0.10 per kWh and that the unit’s coefficient of performance is 18% that of an ideal refrigerator. \(\mathrm {1~ kWh=3.60 \times 10^6~ J}\)

Equation Transcription:

Text Transcription:

0^oC

0^oC

35^oC

22^oC

1 kWh=3.60 x 10^6 J

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