QuestionJune 4, 2025

Which of the following gas diffuses faster? a. Propane b. Ethane c. Hydrogen d. Methane

Which of the following gas diffuses faster? a. Propane b. Ethane c. Hydrogen d. Methane
Which of the following gas diffuses faster?
a. Propane
b. Ethane
c. Hydrogen
d. Methane

Solution
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Answer

c. Hydrogen Explanation 1. Identify Molar Mass Calculate the molar mass for each gas: Propane (C₃H₈) = 44 g/mol, Ethane (C₂H₆) = 30 g/mol, Hydrogen (H₂) = 2 g/mol, Methane (CH₄) = 16 g/mol. 2. Apply Graham's Law of Effusion **Graham's Law** states that the rate of effusion is inversely proportional to the square root of its molar mass: r \propto \frac{1}{\sqrt{M}}. 3. Compare Rates Hydrogen has the smallest molar mass, so it diffuses fastest according to Graham's Law.

Explanation

1. Identify Molar Mass<br /> Calculate the molar mass for each gas: Propane (C₃H₈) = 44 g/mol, Ethane (C₂H₆) = 30 g/mol, Hydrogen (H₂) = 2 g/mol, Methane (CH₄) = 16 g/mol.<br /><br />2. Apply Graham's Law of Effusion<br /> **Graham's Law** states that the rate of effusion is inversely proportional to the square root of its molar mass: $r \propto \frac{1}{\sqrt{M}}$.<br /><br />3. Compare Rates<br /> Hydrogen has the smallest molar mass, so it diffuses fastest according to Graham's Law.
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