Answer:
Molar mass of unknown gas = 41.45 g/mol
Explanation:
Time taken for a gas to effuse/diffuse ∝√(Molar Mass of the gas)
Let T₁ be the time taken for the Unknown gas to effuse. T₁ = 7.3 min = 438s
Let T₂ be the time taken for the Nitrogen gas to effuse. T₁ = 6 min = 360s
(T₁/T₂) = √(Molar mass of unknown gas/Molar mass of Nitrogen)
Molar mass of Nitrogen = 2×14 = 28 g/mol
(438/360) = √(Molar Mass of unknown gas/28)
√(Molar mass of unknown gas/28) = 1.21667
molar mass of unknown gas/28 = 1.21667² = 1.4803
Molar mass of unknown gas = 1.4803 × 28 = 41.45 g/mol
Hope this helps!
