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.

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

most historians agree that gabriel mouton, the vicar of st. paul’s church in lyons, france, is the “founding father” of the metric system. he proposed a decimal system of measurement in 1670. mouton based it on the length of one minute of arc of a great circle of the earth (now called a nautical mile, 1852 meters). he also proposed the swing-length of a pendulum with a frequency of one beat per second as the unit of length (about 25 cm). a pendulum beating with this length would have been fairly easy to produce, thus facilitating the widespread distribution of uniform standards. over the years, his work was revised, improved, and extended by a number of french scientists.

the political sponsor of weights and measures reform in the french revolutionary national assembly was the bishop of autun, better known as talleyrand. under his auspices, the french academy appointed several committees to carry out the work of developing a usable system of weights and measures for france. one of the committees recommended a decimalized measurement system based upon a length equal to one ten-millionth of the length of a quadrant of the earth’s meridian (i.e., one ten-millionth of the distance between the equator and the north pole).