Answer to Question #195353 in General Chemistry for Kenma

Question

hydrogen gas effuses through a porous container 8.97-times faster than an unknown gas. Estimate the molar mass of the unknown gas. 

Answer 1

MM(H₂) = 2.016 g/mol

$\frac{Rate_A}{Rate_B} = \sqrt{\frac{MM_B}{MM_A}} \\ 8.97 = \sqrt{ \frac{MM_B}{2} } \\ (8.97)^2 = \frac{MM_B}{2.016} \\ MM_B = (8.97)^2 \times 2.016 = 162.21 \;g/mol$

Answer: 162.21 g/mol