A classroom that normally contains 40 people is to be air-conditioned with window air conditioning units of 5-kW cooling capacityeach. A person at rest may be assumed to dissipate heat at the rate of about 360 kJ/hr.There are 10 light bulbs 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 15,000 kJ/hr. Ifthe room air is to be maintained at a constant temperature, determine the number of window air conditioning units required.

Respuesta :

Answer:

The correct answer will be "2".

Explanation:

Given:

Heat generated through wall,

= 15000 kJ/h

= [tex]\frac{15000}{3600}[/tex]

= [tex]4.17 \ KW[/tex]

Heat generated by bulbs,

= [tex]10(100) \ W[/tex]

= [tex]1000[/tex]

= [tex]1 \ KW[/tex]

Heat generated by people,

= [tex]40(360) \ KJ/h[/tex]

= [tex]\frac{14400}{3600}[/tex]

= [tex]4 \ KW[/tex]

Heat removed by 1 AC,

= 5 KW

Now,

The total increase in heat will be:

= [tex]4+1+4.17[/tex]

= [tex]9.17 \ KW[/tex]

hence,

The required number of AC will be:

⇒ [tex]5n=9.17[/tex]

⇒   [tex]n=\frac{9.17}{5}[/tex]

⇒       [tex]=1.83[/tex]

0r,

⇒       [tex]2[/tex]