How do you find density in the ideal gas law?

Ideal gas equation is PV = nRT

where P = pressure, V = volume, n = number of moles of gas, R = gas constant = 0.0821 L·atm/mol·K, and T = absolute temperature (in Kelvin)

To find the density of the gas, you need to know the mass of the gas and the volume.

V = nRT/P

The number of moles is the mass (m) of the gas divided by its molecular mass:

n = m/MM

Substitute this mass value into the volume equation in place of n

V = mRT/MM·P

Density (ρ) is mass per volume. Divide both sides by m:

V/m = RT/MM·P

m/V = MM·P/RT
ρ = MM·P/RT

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