College

An air conditioner unit uses an electrical power input of 100 W to drive the system and rejects 440 W of heat to the kitchen air.

Calculate the air conditioner's cooling rate and its coefficient of performance \(\beta\).

Answer :

Answer:

Cooling Rate=340 W

Coefficient of Performance β=3.4

Explanation:

[tex]Desired\ effect= Cooling\ Rate=Q_L= 440-100=340\ W\\ W_{net,in}=Work\ in=100\ W[/tex]

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

[tex]Coefficient\ of\ performance (\beta) =\frac {440-100}{100}=3.4[/tex]