What is the density (in g/l) of a gas with a molar mass of 70.49 g/mol at 0.874 atm and 389 k?

Given:

Molar mass of gas M = 70.49 g/mol

Pressure P = 0.874 atm

Temperature T = 389 K

To determine:

The density of gas

Explanation:

Density is the ratio of mass to volume

D = m/V

Based on the ideal gas equation:

PV = nRT

where n = number of moles of the gas = mass of gas/molar mass = m/M

R = gas constant = 0.0821 L atm/mol-K

PV = (m/M)RT

m/V = PM/RT = 0.874*70.49/0.0821*389 = 1.93 g/L

Density = 1.93 g/L

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explanation:

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the density(ratio between mass and volume as m/v) decreases from top to bottom in periodic table group as the size increases and nuclear charge decreases. but in periods density increases from left to right as atom size decreases and nuclear charge increases.