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The rate of diffusion of hydrogen is about
- a)One half that of helium.
- b)1.4 times that of helium.
- c)Twice that of helium.
- d)Twice that of helium.
Correct answer is option 'B'. Can you explain this answer?
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Understanding the Rate of Diffusion
The rate of diffusion of gases is governed by Graham's Law, which states that the rate of diffusion of a gas is inversely proportional to the square root of its molar mass. This principle helps us compare the diffusion rates of hydrogen and helium.
Molar Mass Comparison
- Molar mass of Hydrogen (H2): Approximately 2 g/mol.
- Molar mass of Helium (He): Approximately 4 g/mol.
Applying Graham's Law
- According to Graham's Law: Rate of diffusion ∝ 1/sqrt(Molar mass).
- For hydrogen: Rate of diffusion (H2) ∝ 1/sqrt(2).
- For helium: Rate of diffusion (He) ∝ 1/sqrt(4).
Calculating the Ratio
- The ratio of the rates of diffusion of hydrogen to helium can be calculated as follows:
Rate of diffusion (H2) / Rate of diffusion (He) = sqrt(4) / sqrt(2) = 2 / 1.414 ≈ 1.41.
This means that hydrogen diffuses approximately 1.4 times faster than helium.
Conclusion
- Therefore, the correct answer to the question is 1.4 times that of helium (Option B). This illustrates how lighter gases diffuse more rapidly than heavier ones, demonstrating the core principle of Graham's Law.
The rate of diffusion of gases is governed by Graham's Law, which states that the rate of diffusion of a gas is inversely proportional to the square root of its molar mass. This principle helps us compare the diffusion rates of hydrogen and helium.
Molar Mass Comparison
- Molar mass of Hydrogen (H2): Approximately 2 g/mol.
- Molar mass of Helium (He): Approximately 4 g/mol.
Applying Graham's Law
- According to Graham's Law: Rate of diffusion ∝ 1/sqrt(Molar mass).
- For hydrogen: Rate of diffusion (H2) ∝ 1/sqrt(2).
- For helium: Rate of diffusion (He) ∝ 1/sqrt(4).
Calculating the Ratio
- The ratio of the rates of diffusion of hydrogen to helium can be calculated as follows:
Rate of diffusion (H2) / Rate of diffusion (He) = sqrt(4) / sqrt(2) = 2 / 1.414 ≈ 1.41.
This means that hydrogen diffuses approximately 1.4 times faster than helium.
Conclusion
- Therefore, the correct answer to the question is 1.4 times that of helium (Option B). This illustrates how lighter gases diffuse more rapidly than heavier ones, demonstrating the core principle of Graham's Law.
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The rate of diffusion of hydrogen is abouta)One half that of helium.b)1.4 times that of helium.c)Twice that of helium.d)Twice that of helium.Correct answer is option 'B'. Can you explain this answer?
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