# The pressure of air in your house can stay constant during the day if the temperature rises....?

Let the temperatures be 296 K during the day, and 288 K at night, and volume of the house be 900 m3. Determine the number of moles of air that leave the house during the daytime.

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- O-360Lv 66 years agoFavorite Answer
P1*V1/T1 = P2*V2/T2

Assuming the pressures are constant, this reduces to:

V1/T1 = V2/T2

During the night, V1 = 900 m^3, and T1 = 288K. During the day, T2 = 296K, and solving for V2

V2 = V1*T2/T1 = 900*296/288 = 925 m^3

So, 925 - 900 = 25 m^3 that leave the house during the daytime. This needs to be converted

to STP before calculating the number of moles. I assume that the pressure is standard.

V2/T2 = Vs/Ts

Vs = V2*Ts/T2 = 25*273/296 = 23 m^3

At STP, there are 22.4 liters per mole, and 1000 liters per m^3, so

N = 23*1000/22.4 = 1030 moles.

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