The molar mass of an unknown gas was measured by an effusion experiment. It was found that it took 63 s for the gas to effuse, whereas nitrogen gas (N2) required 48 s. The molar mass of the unknown gas is-

Respuesta :

Answer:

8.13 g/mol.

Explanation:

The following formula gives us the relationship between the effusion rates of two gases and their molar masses:

[tex]\sqrt{\frac{MM_{x} }{MM_{y} } } = \frac{rate_{y} }{rate_{x} }[/tex]

where x and y are respective sample gases and MM and rate are molar mass and rate of effusion respectively.

⇒[tex]\sqrt{\frac{14}{y} } = \frac{63}{48}[/tex]

[tex]\frac{14}{y} = 1.3125^{2}[/tex]

y= 14 / [tex]1.3125^{2}[/tex]  = 8.13 g/mol.