Explanation:
According to the ideal gas law, PV = nRT
where, n = number of moles
Also, density = [tex]\frac{mass}{volume}[/tex]
Since, n = [tex]\frac{mass}{\molar mass}[/tex]
Therefore, ideal gas equation can also be written as follows.
PV = nRT
PV = [tex]\frac{mass}{\text{molar mass}} \times RT[/tex]
[tex]P \times \text{molar mass}[/tex] = dRT
Hence, putting the given values into the above formula as follows.
[tex]0.874 atm \times 70.49 g/mol = d \times 0.0821 Latm/mol K \times 389 K[/tex]
6.161 atm g/mol = [tex]d \times 31.94 Latm/mol[/tex]
d = 0.193 g/L
Thus, we can conclude that density of the given gas is 0.193 g/L.
