# Problem: In an effusion experiment, it was determined that nitrogen gas, N2, effused at a rate 1.812 times faster than an unknown gas. What is the molar mass of the unknown gas?Express your answer to four significant figures and include the appropriate units.The rate of effusion of a gas, r, is inversely proportional to the square root of its molar mass, M. The relative rate of two different gases is expressed asr1r2=M2M1where r1 and r2 are the effusion rates of two gases and M1 and M2 are their respective molar masses.

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In an effusion experiment, it was determined that nitrogen gas, N2, effused at a rate 1.812 times faster than an unknown gas. What is the molar mass of the unknown gas?

Express your answer to four significant figures and include the appropriate units.

The rate of effusion of a gas, r, is inversely proportional to the square root of its molar mass, M. The relative rate of two different gases is expressed as

$\frac{{\mathbf{r}}_{\mathbf{1}}}{{\mathbf{r}}_{\mathbf{2}}}\mathbf{=}\sqrt{\frac{{\mathbf{M}}_{\mathbf{2}}}{{\mathbf{M}}_{\mathbf{1}}}}$

where r1 and r2 are the effusion rates of two gases and M1 and M2 are their respective molar masses.