Answer :
Answer: The chemical formula of the gas is Xenon.
Explanation:
From Graham's law of effusion rates, the rate of effusion of a gas is inversely proportional to the square root of its molar mass.
[tex]\frac{rate_1}{rate_2}=\sqrt{\frac{M_2}{M_1}}[/tex]
Given: Rate of unknown gas = [tex]0.392\times R_{Ne}[/tex]
Putting the values in the formula:
[tex]\frac{rate_X}{rate_{Ne}}=\sqrt{\frac{M_{Ne}}{M_X}}[/tex]
[tex]0.392=\sqrt{\frac{20.17}{M_X}}[/tex]
Squaring both sides:
[tex]0.154=\frac{20.17}{M_X}[/tex]
[tex]M_X=131g/mol[/tex]
As Xenon (Xe) has molar mass of 131g/mol, Thus the chemical formula of the gas is Xenon.