Question

An air conditioner unit uses an electrical power input of 100W to drive the system and rejects 440W of heat to the kitchen air. Calculate the air conditioner's cooling rate and its coefficient of performance β.??

Answer 1

Cooling Rate=340 W

Coefficient of Performance β=3.4

Step-by-step explanation:

`Desired\ effect= Cooling\ Rate=Q_L= 440-100=340\ W\\ W_(net,in)=Work\ in=100\ W`

`Coefficient\ of\ performance (\beta) =\frac {Desired\ Out}{Required\ In}=\frac {Cooling\ {Effect}}{Work\ In}=\frac {Q_L}{W_(net,in)}`

`Coefficient\ of\ performance (\beta) =\frac {440-100}{100}=3.4`