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Which of the following statements are true with regards to mean free path?
Select one or more:
Select one or more:
- a)Mean free path is inversely proportional to density of gas
- b)Mean free path is directly proportional to density of gas
- c)For constant volume, will not depend on T and p
- d)None of the above
Correct answer is option 'A,C'. Can you explain this answer?
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Verified Answer
Which of the following statements are true with regards to mean free p...
As 
i.e. mean free path is inversely proportional to density of a gas. As 
For constant volume and thus constant number density n of gas molecule. P/T is constant so, λ will not depend on p and T.
But if volume of given mass of a gas is allowed to change with p and T, then
at constant pressure and 
at constant temperature.
The correct answers are: Mean free path is inversely proportional to density of gas, For constant volume, will not depend on T and p
i.e. mean free path is inversely proportional to density of a gas. As For constant volume and thus constant number density n of gas molecule. P/T is constant so, λ will not depend on p and T.
But if volume of given mass of a gas is allowed to change with p and T, then
at constant pressure and at constant temperature.The correct answers are: Mean free path is inversely proportional to density of gas, For constant volume, will not depend on T and p
Most Upvoted Answer
Which of the following statements are true with regards to mean free p...
Mean Free Path
The mean free path is a concept in physics that describes the average distance traveled by a particle before it collides with another particle. It is commonly used to describe the behavior of gas molecules in a gas.
Statement A: Mean free path is inversely proportional to density of gas
This statement is true. The mean free path is inversely proportional to the density of the gas. This relationship can be explained by considering that as the density of gas increases, the number of gas molecules per unit volume also increases. Consequently, the probability of collision between gas molecules increases, resulting in a decrease in the mean free path.
Mathematically, this relationship can be expressed as:
Mean Free Path ∝ 1/density
Where ∝ represents proportionality.
Statement C: For constant volume, mean free path will not depend on T and P
This statement is also true. If the volume is kept constant, the mean free path of gas molecules does not depend on the temperature (T) and pressure (P) of the gas. The mean free path is solely determined by the density of the gas, which is independent of temperature and pressure when the volume is constant.
This can be understood by considering that the density of a gas is given by the equation:
Density = (number of molecules/volume)
If the volume is constant, the number of molecules remains the same regardless of changes in temperature and pressure. Therefore, the mean free path remains unaffected by variations in temperature and pressure.
Conclusion
In summary, the mean free path of gas molecules is inversely proportional to the density of the gas and does not depend on temperature and pressure when the volume is constant. These relationships help describe the behavior of gas molecules in various conditions and are important in understanding phenomena such as diffusion and conduction in gases.
The mean free path is a concept in physics that describes the average distance traveled by a particle before it collides with another particle. It is commonly used to describe the behavior of gas molecules in a gas.
Statement A: Mean free path is inversely proportional to density of gas
This statement is true. The mean free path is inversely proportional to the density of the gas. This relationship can be explained by considering that as the density of gas increases, the number of gas molecules per unit volume also increases. Consequently, the probability of collision between gas molecules increases, resulting in a decrease in the mean free path.
Mathematically, this relationship can be expressed as:
Mean Free Path ∝ 1/density
Where ∝ represents proportionality.
Statement C: For constant volume, mean free path will not depend on T and P
This statement is also true. If the volume is kept constant, the mean free path of gas molecules does not depend on the temperature (T) and pressure (P) of the gas. The mean free path is solely determined by the density of the gas, which is independent of temperature and pressure when the volume is constant.
This can be understood by considering that the density of a gas is given by the equation:
Density = (number of molecules/volume)
If the volume is constant, the number of molecules remains the same regardless of changes in temperature and pressure. Therefore, the mean free path remains unaffected by variations in temperature and pressure.
Conclusion
In summary, the mean free path of gas molecules is inversely proportional to the density of the gas and does not depend on temperature and pressure when the volume is constant. These relationships help describe the behavior of gas molecules in various conditions and are important in understanding phenomena such as diffusion and conduction in gases.
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Which of the following statements are true with regards to mean free path?Select one or more:a)Mean free path is inversely proportional to density of gasb)Mean free path is directly proportional to density of gasc)For constant volume, will not depend on T and pd)None of the aboveCorrect answer is option 'A,C'. Can you explain this answer?
Question Description
Which of the following statements are true with regards to mean free path?Select one or more:a)Mean free path is inversely proportional to density of gasb)Mean free path is directly proportional to density of gasc)For constant volume, will not depend on T and pd)None of the aboveCorrect answer is option 'A,C'. Can you explain this answer? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about Which of the following statements are true with regards to mean free path?Select one or more:a)Mean free path is inversely proportional to density of gasb)Mean free path is directly proportional to density of gasc)For constant volume, will not depend on T and pd)None of the aboveCorrect answer is option 'A,C'. Can you explain this answer? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following statements are true with regards to mean free path?Select one or more:a)Mean free path is inversely proportional to density of gasb)Mean free path is directly proportional to density of gasc)For constant volume, will not depend on T and pd)None of the aboveCorrect answer is option 'A,C'. Can you explain this answer?.
Which of the following statements are true with regards to mean free path?Select one or more:a)Mean free path is inversely proportional to density of gasb)Mean free path is directly proportional to density of gasc)For constant volume, will not depend on T and pd)None of the aboveCorrect answer is option 'A,C'. Can you explain this answer? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about Which of the following statements are true with regards to mean free path?Select one or more:a)Mean free path is inversely proportional to density of gasb)Mean free path is directly proportional to density of gasc)For constant volume, will not depend on T and pd)None of the aboveCorrect answer is option 'A,C'. Can you explain this answer? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following statements are true with regards to mean free path?Select one or more:a)Mean free path is inversely proportional to density of gasb)Mean free path is directly proportional to density of gasc)For constant volume, will not depend on T and pd)None of the aboveCorrect answer is option 'A,C'. Can you explain this answer?.
Solutions for Which of the following statements are true with regards to mean free path?Select one or more:a)Mean free path is inversely proportional to density of gasb)Mean free path is directly proportional to density of gasc)For constant volume, will not depend on T and pd)None of the aboveCorrect answer is option 'A,C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Physics.
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Which of the following statements are true with regards to mean free path?Select one or more:a)Mean free path is inversely proportional to density of gasb)Mean free path is directly proportional to density of gasc)For constant volume, will not depend on T and pd)None of the aboveCorrect answer is option 'A,C'. Can you explain this answer?, a detailed solution for Which of the following statements are true with regards to mean free path?Select one or more:a)Mean free path is inversely proportional to density of gasb)Mean free path is directly proportional to density of gasc)For constant volume, will not depend on T and pd)None of the aboveCorrect answer is option 'A,C'. Can you explain this answer? has been provided alongside types of Which of the following statements are true with regards to mean free path?Select one or more:a)Mean free path is inversely proportional to density of gasb)Mean free path is directly proportional to density of gasc)For constant volume, will not depend on T and pd)None of the aboveCorrect answer is option 'A,C'. Can you explain this answer? theory, EduRev gives you an
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