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Ymorist [56]
4 years ago
15

Air conditioners are rated by their coefficient of performance at 61 ∘ F inside temperature and 99 ∘ F outside temperature. An e

fficient but realistic air conditioner has a coefficient of performance of 3.2. What is the maximum possible coefficient performance?
Physics
1 answer:
vovikov84 [41]4 years ago
6 0

Answer:

the maximum possible coefficient performance is 13.7

Explanation:

inside temperature, T_{C} = 61 F = 289.26 K

outside temperature, T_{H} = 99 F = 310.37 K

coefficient of performance, COP (real) = 3.2

according to Carnot's theorem, the coefficient of performance is

COP_{max} = \frac{T_{C} }{T_{H}-x_{C}  }

where

T_{C} is cold temperature

T_{H} is hot temperature

thus,

COP_{max}  = \frac{289.26}{310.37-289.26}

             = 13.7

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dg= 942m

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we get 0.495 = 0.338 + dg/6000

dg = (0.495 - 0.338) x 6000

dg = 942m.

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