Answer:
46.004 g/mol
Explanation:
Scottish physicist Thomas Graham formulated a law known as Graham's law of effusion in 1848. He conducted an experiment and found the relationship between the rate of effusion of a gas and its molar mass as:
[tex]r=\sqrt {\frac {1}{M}}[/tex]
where,
r is the rate of effusion of a gas
M is the molar mass of the gas.
Also, r = v/t
And for two gases taking different t₁ and t₂ to effuse, the formula is:
[tex]\frac {t_2}{t_1}=\sqrt {\frac {M_2}{M_1}}[/tex]
So,
For Neon :
[tex]t_1[/tex] = 8.61 minutes
[tex]M_1[/tex] = 20.1797 g/mol
For unkown gas:
[tex]t_2[/tex] = 13.0 minutes
[tex]M_2[/tex] = ? g/mol
[tex]\frac {13.0}{8.61}=\sqrt {\frac {M_2}{20.1797}}[/tex]
Molar mass of unknown gas = 46.004 g/mol
