Question

What is the molar mass of a gas if it takes 7.3 min to effuse through a small hole and 6.0 min for the same amount of N2 to effuse through the same hole gas

Answer 1

Molar mass of unknown gas = 41.45 g/mol

Step-by-step 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!