JEE Mains · Physics · STD 11 - 12 . kinetic theory of gases
An ideal gas in a closed container is slowly heated. As its temperature increases, which of the following statements are true\(?\) \((A)\) the mean free path of the molecules decreases. \((B)\) the mean collision time between the molecules decreases. \((C)\) the mean free path remains unchanged. \((D)\) the mean collision time remains unchanged.
- A \((C)\) and \((D)\)
- B \((A)\) and \((B)\)
- C \((A)\) and \((D)\)
- D \((B)\) and \((C)\)
Answer & Solution
Correct Answer
(D) \((B)\) and \((C)\)
Step-by-step Solution
Detailed explanation
The mean free path of molecules of an ideal gas is given as \(\lambda=\frac{ V }{\sqrt{2} \pi d ^{2} N }\) \(V =\) Volume of container where: \(N =\) No of molecules Hence with increasing temp since volume of container does not change (closed container), so mean free path is…
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