Question

g While driving down a highway, the air flow over an automobile establishes an overall heat transfer coefficient of 18 W/m2K. The passenger cabin of this automobile exposes 9 m2 of surface to the moving ambient air. One day when the ambient temperature is 33oC, how much cooling must the air conditioning system supply to maintain a temperature of 20oC in the passenger cabin

Answer 1

2106 W

Step-by-step explanation:

Given that

The coefficient of heat transfer, h = W/m².K

Area of cabin exposed to air, A = 9 m²

Initial ambient temperature, T1 = 33 °C

Final system temperature, T2 = 20 °C

To find the cooling rate needed, we use the formula

Q = h * A * ΔT

where, ΔT = T1 - T2

ΔT = 33 - 20

ΔT = 13 °C

Cooling rate, Q = 18 * 9 * 13

Cooling rate, Q = 2106 W

This means that the cooling rate needed is 2106 W