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Question

A closed box contains an ideal gas. If temperature of gas increased then
(A). Mean free path remain same.
(B). Mean free path decreases.
(C). Relaxation time decreases.
(D). Relaxation time remain same.

Which of the following is correct?

A
A & C
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B
B & D
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C
B & C
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D
A & D
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Solution

The correct option is A A & C
We know that, mean free path is defined as

λ=12(NV)πd2

N Number of molecules
V Volume of container
d diameter of molecule

None of these terms depend on temperature. So, mean free path remains same.

Also, as temperature increases, number of collision increases, So, relaxation time decreases.

Hence, option (b) is correct.

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