The pressure of air in your house can stay constant during the day if the temperature rises. Let the temperatures be 295 K during the day, and 288 K at night, and volume of the house be 900 m3. Part A Determine the number of moles of air that leave the house during the daytime.

Question

Physics

Bradley Ferrell

20 February, 08:25

The pressure of air in your house can stay constant during the day if the temperature rises. Let the temperatures be 295 K during the day, and 288 K at night, and volume of the house be 900 m3. Part A Determine the number of moles of air that leave the house during the daytime.

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Answers (1)

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Brendon Newman · Answer 1

N = 903.73 moles

Explanation:

The pressures are constant so:

V1/T1 = V2/T2

During the night, V1 = 900 m^3, and T1 = 288K.

During the day, T2 = 296K, and V2 = ?

V2 = V1*T2/T1 = 900*295/288 = 921.875 m^3

921.875 - 900 = 21.875 m^3

that leave the house during the daytime

V2/T2 = Vs/Ts

Vs = V2*Ts/T2 = 21.875*273/295 = 20.24 m^3

22.24 liters per mole, and 1000 liters per m^3, so

N = 20.24*1000/22.4

N = 903.73 moles.