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7 October, 01:03

Poisonous carbon monoxide can be produced by furnaces in basements if the combustion and exhaust are not complete. Calculate the density of carbon monoxide in g/L at 292 K and 1.00 atm of pressure to determine whether it is more or less dense than air. If it is more dense, it will remain in the basement; if it is less dense it will rise to the upper levels of the house. The density of dry air is 1.20 g/L.

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  1. 7 October, 04:59
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    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
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