A classroom that normally contains 27 people is to be air - conditioned with win

Question

A classroom that normally contains 27 people is to be air - conditioned with window air - conditioning units of 7.5 - kW cooling capacity. A person at rest may be assumed to dissipate heat at a rate of about 345 kJ/h. There are 21 lightbulbs in the room, each with a rating of 100 W. The rate of heat transfer to the classroom through the walls and the windows is estimated to be 13,500 kJ/h. If the room air is to be maintained at a constant temperature of 21C, determine the number of window air - conditioning units required.

Explanation / Answer

Here ,

total power radiated in the room

Po = 27 * (345 *10^3/3600) + 21 * 100 + 13500 * 10^3/3600

Po = 8437.5 W

Now,

number of air conditioner = Po/power of 1 AC

number of air conditioner = 8437.5/7500

number of air conditioner = 1.125

hence , the number of air conditioner required is 2

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