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A box of volume V contains N molecules of an ideal gas. It is in contact with an empty box of volume 2 V through a permeable wall allowing exchange of molecules. If a measurement is made for the number of particles in the empty' box after a long time of contact. What is the standard deviation seen in the measurement?
  • a)
  • b)
  • c)
    2N/9
  • d)
    N/3
Correct answer is option 'A'. Can you explain this answer?
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A box of volume V contains N molecules of an ideal gas. It is in conta...
Given no other variables involved in the problem the probability of a particle (as a molecule) to be m one of the box depends on the volume of the particular box vis-a-vis the total volume available to the system.
Therefore, probability of occupying the first box. 
and that of occupying the second box, 
Tins is a binary distribution whose standard deviation is given by
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A box of volume V contains N molecules of an ideal gas. It is in contact with an empty box of volume 2 V through a permeable wall allowing exchange of molecules. If a measurement is made for the number of particles in the empty' box after a long time of contact. What is the standard deviation seen in the measurement?a)b)c)2N/9d)N/3Correct answer is option 'A'. Can you explain this answer?
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A box of volume V contains N molecules of an ideal gas. It is in contact with an empty box of volume 2 V through a permeable wall allowing exchange of molecules. If a measurement is made for the number of particles in the empty' box after a long time of contact. What is the standard deviation seen in the measurement?a)b)c)2N/9d)N/3Correct answer is option 'A'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A box of volume V contains N molecules of an ideal gas. It is in contact with an empty box of volume 2 V through a permeable wall allowing exchange of molecules. If a measurement is made for the number of particles in the empty' box after a long time of contact. What is the standard deviation seen in the measurement?a)b)c)2N/9d)N/3Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A box of volume V contains N molecules of an ideal gas. It is in contact with an empty box of volume 2 V through a permeable wall allowing exchange of molecules. If a measurement is made for the number of particles in the empty' box after a long time of contact. What is the standard deviation seen in the measurement?a)b)c)2N/9d)N/3Correct answer is option 'A'. Can you explain this answer?.
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