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Four distinguishable molecules are distributed in energy level E1 and E2 with degeneracy of2,3 respectively number of microstates with three molecules in energy level E1 and one in energy level 2 is?
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Four distinguishable molecules are distributed in energy level E1 and ...
Solution:
Given:
Number of distinguishable molecules = 4
Energy levels = E1 and E2
Degeneracy of energy level E1 = 2
Degeneracy of energy level E2 = 3
To find:
Number of microstates with three molecules in energy level E1 and one in energy level E2.
Explanation:
Total number of microstates for a system with N molecules is given by the formula:
Ω = (N+n-1)! / n!(N-1)!
Where N is the total number of molecules and n is the number of energy levels.
Number of microstates with three molecules in energy level E1 and one in energy level E2 can be calculated as follows:
Number of ways to choose three molecules from four molecules to fill the energy level E1= 4C3 = 4
Number of ways to choose one molecule from four molecules to fill the energy level E2 = 4C1 = 4
Number of microstates for three molecules in energy level E1 = 2x2x2 = 8
Number of microstates for one molecule in energy level E2 = 3
Number of microstates for the system with three molecules in energy level E1 and one in energy level E2 can be calculated as follows:
Ω = (N+n-1)! / n!(N-1)!
Ω = (4+2-1)! / 2!(4-1)!
Ω = (5)! / 2!(3)!
Ω = 10
Therefore, the number of microstates with three molecules in energy level E1 and one in energy level E2 is 8x3x10 = 240.
Conclusion:
The number of microstates with three molecules in energy level E1 and one in energy level E2 is 240.
Given:
Number of distinguishable molecules = 4
Energy levels = E1 and E2
Degeneracy of energy level E1 = 2
Degeneracy of energy level E2 = 3
To find:
Number of microstates with three molecules in energy level E1 and one in energy level E2.
Explanation:
Total number of microstates for a system with N molecules is given by the formula:
Ω = (N+n-1)! / n!(N-1)!
Where N is the total number of molecules and n is the number of energy levels.
Number of microstates with three molecules in energy level E1 and one in energy level E2 can be calculated as follows:
Number of ways to choose three molecules from four molecules to fill the energy level E1= 4C3 = 4
Number of ways to choose one molecule from four molecules to fill the energy level E2 = 4C1 = 4
Number of microstates for three molecules in energy level E1 = 2x2x2 = 8
Number of microstates for one molecule in energy level E2 = 3
Number of microstates for the system with three molecules in energy level E1 and one in energy level E2 can be calculated as follows:
Ω = (N+n-1)! / n!(N-1)!
Ω = (4+2-1)! / 2!(4-1)!
Ω = (5)! / 2!(3)!
Ω = 10
Therefore, the number of microstates with three molecules in energy level E1 and one in energy level E2 is 8x3x10 = 240.
Conclusion:
The number of microstates with three molecules in energy level E1 and one in energy level E2 is 240.
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Four distinguishable molecules are distributed in energy level E1 and ...
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Four distinguishable molecules are distributed in energy level E1 and E2 with degeneracy of2,3 respectively number of microstates with three molecules in energy level E1 and one in energy level 2 is?
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Four distinguishable molecules are distributed in energy level E1 and E2 with degeneracy of2,3 respectively number of microstates with three molecules in energy level E1 and one in energy level 2 is? for IIT JAM 2024 is part of IIT JAM preparation. The Question and answers have been prepared according to the IIT JAM exam syllabus. Information about Four distinguishable molecules are distributed in energy level E1 and E2 with degeneracy of2,3 respectively number of microstates with three molecules in energy level E1 and one in energy level 2 is? covers all topics & solutions for IIT JAM 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Four distinguishable molecules are distributed in energy level E1 and E2 with degeneracy of2,3 respectively number of microstates with three molecules in energy level E1 and one in energy level 2 is?.
Four distinguishable molecules are distributed in energy level E1 and E2 with degeneracy of2,3 respectively number of microstates with three molecules in energy level E1 and one in energy level 2 is? for IIT JAM 2024 is part of IIT JAM preparation. The Question and answers have been prepared according to the IIT JAM exam syllabus. Information about Four distinguishable molecules are distributed in energy level E1 and E2 with degeneracy of2,3 respectively number of microstates with three molecules in energy level E1 and one in energy level 2 is? covers all topics & solutions for IIT JAM 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Four distinguishable molecules are distributed in energy level E1 and E2 with degeneracy of2,3 respectively number of microstates with three molecules in energy level E1 and one in energy level 2 is?.
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