A room has walls and a ceiling that conduct heat from the room to the cooler out
ID: 1863195 • Letter: A
Question
A room has walls and a ceiling that conduct heat from the room to the cooler outdoors.
If the inside temperature is uniform at 25.2 Celcius and the outdoor temperature is at 16.8 Celcius.
What is the heat transfer rate through conduction in Watts. The walls are 9 ft hight and the room has the dimension of 16 ft by 19 feet and the walls and ceiling all have a thermal conductivity of
k = 0.51 W/m2K and a thickness of 56 cm. (Be careful, this is a mixed unit problem. Ignore conduction through the floor.)
Explanation / Answer
Q/A=kdT/dx
=0.51*(25.2-16.8)/0.56
=7.65 W/m^2
A=2(lb+bh+lh)-lb
h=9; b=16 ; l=19
A=934 ft^2=86.77 m^2
Q=7.65*86.77=663.791 W
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