Question
Download Solution PDFFor mean free path λ:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
The mean free path of a gas molecule is given by:
where d is the diameter of the gas molecule and n' is the number of molecules per unit volume of the gas.
Calculations:
Given:
From the ideal gas equation
PV = nRT
where 'n' is the number of the moles
Here nNA is the number of molecules in n moles.
Here
The mean free path of a gas molecule is given by:
∴ λ ∝ (1/n')
∴ with an increase in the number of molecules per unit volume, the mean free path decreases.
∴ λ ∝ (1/d2) (Option 4 is not true)
∴ with a decrease in the size of molecules, the mean free path increases. (Option 3 is true)
After replacing
At constant temperature T, the mean free path will decrease on increasing P. (Option 1 is not true)
Similarly,
At constant pressure P, the mean free path will increase on increasing T. (Option 4 is not true)
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