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One mole of an ideal gas with average molecular speed v0 is kept in a container of fixed volume. If the temperature of the gas is increased such that the average speed gets doubled, then
  • a)
    the mean free path of the gas molecule will increase.
  • b)
    the mean free path of the gas molecule will not change.
  • c)
    the mean free path of the gas molecule will decrease.
  • d)
    the collision frequency of the gas molecule with wall of the container remains unchanged.
Correct answer is option 'B'. Can you explain this answer?

Answers

For fixed volume if temperature is increased then pressure is also increased by same amount so mean free path will not change.
λ = kT / √2πd2P

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One mole of an ideal gas with average molecular speed v0 is kept in a container of fixed volume. If the temperature of the gas is increased such that the average speed gets doubled, thena)the mean free path of the gas molecule will increase.b)the mean free path of the gas molecule will not change.c)the mean free path of the gas molecule will decrease.d)the collision frequency of the gas molecule with wall of the container remains unchanged.Correct answer is option 'B'. Can you explain this answer? for IIT JAM 2023 is part of IIT JAM preparation. The Question and answers have been prepared according to the IIT JAM exam syllabus. Information about One mole of an ideal gas with average molecular speed v0 is kept in a container of fixed volume. If the temperature of the gas is increased such that the average speed gets doubled, thena)the mean free path of the gas molecule will increase.b)the mean free path of the gas molecule will not change.c)the mean free path of the gas molecule will decrease.d)the collision frequency of the gas molecule with wall of the container remains unchanged.Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for IIT JAM 2023 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for One mole of an ideal gas with average molecular speed v0 is kept in a container of fixed volume. If the temperature of the gas is increased such that the average speed gets doubled, thena)the mean free path of the gas molecule will increase.b)the mean free path of the gas molecule will not change.c)the mean free path of the gas molecule will decrease.d)the collision frequency of the gas molecule with wall of the container remains unchanged.Correct answer is option 'B'. Can you explain this answer?.
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For fixed volume if temperature is increased then pressure is also increased by same amount so mean free path will not change.λ = kT / √2πd2P