Answer :
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
