Answer:
[tex]density=1.8x10^{-3}g/mL[/tex]
Explanation:
Hello,
Considering the ideal equation of state:
[tex]PV=nRT[/tex]
The moles are defined in terms of mass as follows:
[tex]n=\frac{m}{M}[/tex]
Whereas [tex]M[/tex] the gas' molar mass, thus:
[tex]PV=\frac{mRT}{M}[/tex]
Now, since the density is defined as the quotient between the mass and the volume, we get:
[tex]P=\frac{m}{V} \frac{RT}{M}[/tex]
Solving for [tex]m/V[/tex]:
[tex]density= m/V=\frac{PM}{RT}[/tex]
Thus, the result is given by:
[tex]density=\frac{(1atm)(44g/mol)}{[0.082atm*L/(mol*K)]*298.15K} \\density=1.8g/L=1.8x10^{-3}g/mL[/tex]
Best regards.
