Answer:
0.992 g/L
Step-by-Step Explanation:
We can use the Ideal Gas Law to calculate the density of the gas.
pV = nRT
n = m/M Substitute for n
pV = (m/M)RT Multiply both sides by M
pVM = mRT Divide both sides by V
pM = (m/V) RT
ρ = m/V Substitute for m/V
pM = ρRT Divide each side by RT
ρ = (pM)/(RT)
===============
p = 1.00 atm
M = 28.01 g/mol
R = 0.082 06 L·atm·K⁻¹mol⁻¹
T = 71.1 °C = 344.25 K Solve for ρ
===============
ρ = (1.00 × 28.01)/(0.082 06 × 344.25)
ρ = 28.01/28.25
ρ = 0.992 g/L