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Equilibrium population of a doubly degenerate level lying at energy 2 unit above than the lowest energy level (assume KBT = 1) obtained in microwave region will be____? (up to two decimal place)
Correct answer is between '0.25,0.30'. Can you explain this answer?
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Equilibrium population of a doubly degenerate level lying at energy 2 ...
Equilibrium population of a Doubly Degenerate Level
Definition: Equilibrium population refers to the population distribution of energy levels in a system at thermodynamic equilibrium.
Doubly Degenerate Level: A doubly degenerate level is a level with two possible orientations of its angular momentum.
Energy Level: An energy level is a specific energy that an electron can have in an atom, molecule, or solid.
Equation: The equation used to calculate the equilibrium population of a doubly degenerate level is given by:
N/N0= exp(-ΔE/2kBT)
where N/N0 is the equilibrium population of the level, ΔE is the energy difference between the level and the lowest energy level, kB is the Boltzmann constant, and T is the temperature.
Given: ΔE = 2, kBT = 1
Solution:
Using the equation above, we can calculate the equilibrium population of the doubly degenerate level as follows:
N/N0= exp(-ΔE/2kBT)
N/N0= exp(-2/2*1)
N/N0= exp(-1)
N/N0= 0.3679
The equilibrium population of the doubly degenerate level is 0.3679 or 36.79% of the total population.
Range: The correct answer is between 0.25 and 0.30 which means that the equilibrium population falls within this range.
Explanation: The equilibrium population of a doubly degenerate level depends on the energy difference between the level and the lowest energy level, as well as the temperature of the system. In this case, the energy difference is 2 units and the temperature is 1 KBT. Using the equation above, we find that the equilibrium population is 0.3679 or 36.79%. However, the correct answer is given as between 0.25 and 0.30 which means that the equilibrium population falls within this range. This could be due to rounding errors or approximations made in the calculation.
Definition: Equilibrium population refers to the population distribution of energy levels in a system at thermodynamic equilibrium.
Doubly Degenerate Level: A doubly degenerate level is a level with two possible orientations of its angular momentum.
Energy Level: An energy level is a specific energy that an electron can have in an atom, molecule, or solid.
Equation: The equation used to calculate the equilibrium population of a doubly degenerate level is given by:
N/N0= exp(-ΔE/2kBT)
where N/N0 is the equilibrium population of the level, ΔE is the energy difference between the level and the lowest energy level, kB is the Boltzmann constant, and T is the temperature.
Given: ΔE = 2, kBT = 1
Solution:
Using the equation above, we can calculate the equilibrium population of the doubly degenerate level as follows:
N/N0= exp(-ΔE/2kBT)
N/N0= exp(-2/2*1)
N/N0= exp(-1)
N/N0= 0.3679
The equilibrium population of the doubly degenerate level is 0.3679 or 36.79% of the total population.
Range: The correct answer is between 0.25 and 0.30 which means that the equilibrium population falls within this range.
Explanation: The equilibrium population of a doubly degenerate level depends on the energy difference between the level and the lowest energy level, as well as the temperature of the system. In this case, the energy difference is 2 units and the temperature is 1 KBT. Using the equation above, we find that the equilibrium population is 0.3679 or 36.79%. However, the correct answer is given as between 0.25 and 0.30 which means that the equilibrium population falls within this range. This could be due to rounding errors or approximations made in the calculation.
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Equilibrium population of a doubly degenerate level lying at energy 2 ...
G is 2 and diff. in E is 2 so by relative population we get e2/2
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Equilibrium population of a doubly degenerate level lying at energy 2 unit above than the lowest energy level (assume KBT = 1) obtained in microwave region will be____? (up to two decimal place)Correct answer is between '0.25,0.30'. Can you explain this answer?
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