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The rate of diffusion of a gas having a molar mass of 32 as compared to H2 gas will be:

Correct answer: B. 4 times slower

  • A. 6 times
  • B. 4 times slower
  • C. One fourth times slower
  • D. One eighth

Explanation

The rate of diffusion of a gas is inversely proportional to the square root of its molar mass. This relationship is given by Graham's law of diffusion.Graham's law of diffusion is expressed as:Rate₁ / Rate₂ = √(Molar Mass₂ / Molar Mass₁)where:Rate₁ and Rate₂ are the rates of diffusion of gases 1 and 2, respectively.Molar Mass₁ and Molar Mass₂ are the molar masses of gases 1 and 2, respectively.Given that the molar mass of H2 gas is 2 g/mol (since hydrogen has an atomic mass of approximately 1 g/mol), and the molar mass of the other gas is 32 g/mol, we can calculate the ratio of their diffusion rates:Rate₁ / Rate₂ = √(32 gmol- / 2 gmol-)Rate₁ / Rate₂ = √(16)Rate₁ / Rate₂ = 4So, the rate of diffusion of the gas with a molar mass of 32 g/mol will be 4 times slower than the rate of diffusion of H2 gas.

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About Fundamental Concepts of Chemistry

Mole calculations connect mass, number of particles and Avogadro's number, while balanced equations provide the mole ratios used in stoichiometry. Questions cover limiting and excess reactants, theoretical yield and percentage yield, including identifying which reactant is consumed first and comparing the actual product with the maximum possible product.

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