how much work is required, using an ideal carnot refrigerator, to remove 1 j of heat energy from helium at 4 k and eject this heat to a room temperature (293 k) environment?

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10-11-2022
Physics

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how much work is required, using an ideal carnot refrigerator, to remove 1 j of heat energy from helium at 4 k and eject this heat to a room temperature (293 k) environment?

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smecloudbird18 smecloudbird18 · Answer 1 · 2022-11-20T18:25:21-05:00

71.43 J of work is required, using an ideal Carnot refrigerator, to remove 1 j of heat energy from helium at 4 k and eject this heat to a room temperature (293 k) environment

coefficient of performance = T / ΔT

= 4 / 293 - 4 = 0.014

Qc (heat) = work * coefficient of performance

work = Qc / coefficient of performance

= 1 / 0.014 = 71.43 J

71.43 J of work is required

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