# A gas of unknown molecular weight is found to diffuse at a rate of 0.19cm/s compared to 0.59 cm/s for helium?

1. A gas of unknown molecular weight is found to diffuse at a rate of 0.19 cm/s compared to 0.59cm/s for helium gas. Calculate the molecular weight of the unknown gas.

2. Which of all of the possible gases should have the highest rate of diffusion?

Graham's law : the rate of effusion of a gas is inversely proportional to the square root of the mass of its particles.

Rate 1 / Rate 2 = square root M2 /M1

0.59 / 0.19 = square root M2 / 4.0026

3.10 = square root M2 / 4.0026

9.64 = M2 / 4.0026

M2 = 38.6 g/mol

2. H2 because it has the smallest molar mass

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2. Which of all of the possible gases should have the highest rate of diffusion?

**Answer:**Graham's law : the rate of effusion of a gas is inversely proportional to the square root of the mass of its particles.

Rate 1 / Rate 2 = square root M2 /M1

0.59 / 0.19 = square root M2 / 4.0026

3.10 = square root M2 / 4.0026

9.64 = M2 / 4.0026

M2 = 38.6 g/mol

2. H2 because it has the smallest molar mass

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