均方根速率计算器
计算气体分子的均方根速率。
g/mol
g/mol
Rate₁ / Rate₂
4.0000
Rate₁ / Rate₂ vs Molar Mass of Gas 1
公式
Graham's Law of Effusion
Formula
Rate₁ / Rate₂ = √(M₂ / M₁)
Where:
Lighter gases effuse faster. The rate is inversely proportional to the square root of molar mass.
计算示例
Compare effusion rates of H₂ (2 g/mol) and O₂ (32 g/mol).
- 01Rate₁/Rate₂ = √(M₂/M₁)
- 02Rate₁/Rate₂ = √(32/2)
- 03Rate₁/Rate₂ = √16
- 04Rate₁/Rate₂ = 4.0
- 05H₂ effuses 4 times faster than O₂
常见问题
What is Graham's Law?
Graham's Law states that the rate of effusion of a gas is inversely proportional to the square root of its molar mass. Lighter molecules move faster.
What is the difference between diffusion and effusion?
Effusion is gas escaping through a tiny hole into a vacuum. Diffusion is mixing of gases through space. Graham's Law applies exactly to effusion and approximately to diffusion.
How was uranium enriched using this law?
In the Manhattan Project, UF₆ gas was effused through barriers. ²³⁵UF₆ (lighter) effused slightly faster than ²³⁸UF₆, gradually separating the isotopes.
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