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What is the relationship between the mean free path (λ) and the diameter (d) of
What is the relationship between the mean free path (λ) and the diameter (d) of gas molecules?
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Practice Questions
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Q1
What is the relationship between the mean free path (λ) and the diameter (d) of gas molecules?
λ ∝ d^2
λ ∝ 1/d
λ ∝ d
λ ∝ d^3
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The mean free path (λ) is inversely proportional to the diameter (d) of the gas molecules, meaning λ ∝ 1/d.
Questions & Step-by-step Solutions
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Q
Q: What is the relationship between the mean free path (λ) and the diameter (d) of gas molecules?
Solution:
The mean free path (λ) is inversely proportional to the diameter (d) of the gas molecules, meaning λ ∝ 1/d.
Steps: 5
Show Steps
Step 1: Understand what mean free path (λ) means. It is the average distance a gas molecule travels before colliding with another molecule.
Step 2: Know that the diameter (d) of gas molecules is the size of each molecule.
Step 3: Realize that if gas molecules are larger (bigger diameter), they will collide more often, which means the mean free path (λ) will be shorter.
Step 4: Conversely, if gas molecules are smaller (smaller diameter), they will collide less often, leading to a longer mean free path (λ).
Step 5: This means that the mean free path (λ) is inversely related to the diameter (d) of the gas molecules. If one increases, the other decreases.
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