How long does it take to raise the temperature of the air in a good-sized living room (3.00m×5.00m×8.00m) by 10.0∘C? Note that the specific heat of air is 1006 J/(kg⋅∘C) and the density of air is 1.20kg/m3.

Express your answer numerically in minutes, to three significant figures.

Answer : The time required is, 16.1 minutes.

Explanation :

First we have to calculate the amount of heat required to increase the temperature is:

where,

Q = amount of heat required = ?

m = mass

= density of air =

V = volume of air

C = specific heat of air =

= change in temperature =

Now put all the given values in above formula, we get:

Now we have to calculate the time required.

Formula used :

where,

t = time required = ?

Q = amount of heat required =

P = power = 1500 W

Now put all the given values in above formula, we get:

Thus, the time required is, 16.1 minutes.

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