Question

Air conditioners are rated by their coefficient of performance at 61 ∘ F inside temperature and 99 ∘ F outside temperature. An efficient but realistic air conditioner has a coefficient of performance of 3.2. What is the maximum possible coefficient performance?

Answer 1

the maximum possible coefficient performance is 13.7

Step-by-step 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)` =
`(T_(C) )/(T_(H)-x_(C)  )`

where

`T_(C)` is cold temperature

`T_(H)` is hot temperature

thus,

`COP_(max)` =
`(289.26)/(310.37-289.26)`

= 13.7