The ideal gas law describes the relationship among the pressure P, volume V, num
ID: 1063858 • Letter: T
Question
The ideal gas law describes the relationship among the pressure P, volume V, number of moles n, and absolute temperature T of an ideal gas. Here is the relationship expressed mathematically: PV = nRT where R is a proportionality constant. The units of R are determined by the units of pressure and volume used in the equation. When atm is used for pressure and L for volume, the appropriate R value is 0.0821 L-atm/mol-K. How many air molecules are in a 11.0 times 12.0 times 10.0 ft room? Assume atmospheric pressure of 1.00 atm, a room temperature of 20.0 degree C, and ideal behavior. Volume conversion: There are 28.2 liters in one cubic foot.Explanation / Answer
from idealgas equation
PV = nRT
n = no of mole of gas = PV/RT
P = 1 atm , V = 11*12*10 = 1320 ft^3 = 37378.24 L
R = 8.314 j.k-1.mol-1 T = 20 c = 293.15 k
1 mole gas = 6.023*10^23 molecules
no of molecules(N) = (1*37378.24/(0.0821*293.15))*(6.023*10^23)
= 9.35*10^26 molecules
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