Answer to Question #302210 in Thermal Power Engineering for Shanha

Question

An air-conditioning system operating on the reversed Carnot cycle is

required to transfer heat from a house at a rate of 750 kJ/min to

maintain its temperature at 24°C. If the outdoor air temperature is

35°C, determine the power required to operate this air-conditioning

system.

Answer 1

Solution;

Given;

$Q=750kJ/min$

$T_s=35°c$

$T_h=25°c$

$C.O.P=\frac{T_h}{T_s-T_h}=\frac{25+273}{35-25}=29.8$

Also;

$C.O.P=\frac{Q}{W}$

$W=\frac{Q}{C.O.P}=\frac{750}{29.8}=25.168kJ/min$