Answer:
The Density of carbon monoxide is 1.17g/L. It is less dense than dry air which has a density of 1.20 g/L.
Therefore, the carbon monoxide will rise to the upper level of the house.
Explanation:
Step 1:
Data obtained from the question. This includes the following:
Temperature (T) = 292 K
Pressure (P) = 1 atm
Density of carbon monoxide =?
Density of air =?
Step 2:
Obtaining an expression for the density. This is illustrated below:
From the ideal gas equation:
PV = nRT (1)
Recall:
Number of mole (n) = mass (m)/molar mass (M)
n = m/M
Substitute the value of n into equation 1.
PV = nRT
PV = mRT/M
Divide both side by P
V = mRT/MP
Divide both side by m
V/m = RT/MP
Invert the equation
m/V = MP/RT (2)
Recall:
Density (ρ) = mass (m) / volume(V)
ρ = m/V
Replacing m/V with ρ in equation 2
m/V = MP/RT
ρ = MP/RT
Where R is the gas constant (0.082atm.L/Kmol)
M is Molar Mass of CO ( 12 + 16 = 28g/mol)
Step 3:
Determination of the density of carbon monoxide. The density of carbon monoxide can be obtained as follow:
T= 292 K
P = 1 atm
R = 0.082atm.L/Kmol
M = 28g/mol
Density (ρ) =?
ρ = MP/RT
ρ = (28 x 1) / (0.082 x 292)
ρ = 1.17g/L
The Density of carbon monoxide is 1.17g/L. It is less dense than dry air which has a density of 1.20 g/L.
Therefore, the carbon monoxide will rise to the upper level of the house
