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QUESTION 3 A molecule has states with the following energies: 0, 1ɛ, 2ɛ, 3ɛ, and 4ɛ, where ɛ = 0.8 x 10-20 J. Calculate the average number of molecules in the first excited state (1ɛ) for a collection of 1000 molecules in thermal equilibrium at T= 222 K. Note that the average number of molecules in a state is just the probability of the state times the number of molecules. Provide your answer as a number in normal form. 73.44

QUESTION 3 A molecule has states with the following energies: 0, 1ɛ, 2ɛ, 3ɛ, and 4ɛ, where ɛ = 0.8 x 10-20 J. Calculate the average number of molecules in the first excited state (1ɛ) for a collection of 1000 molecules in thermal equilibrium at T= 222 K. Note that the average number of molecules in a state is just the probability of the state times the number of molecules. Provide your answer as a number in normal form. 73.44

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QUESTION 2 A molecule has states with the following energies: 0, 1ɛ, 2ɛ, 3ɛ, and 4ɛ, where ɛ = 0.2 x 10-20 J. Calculate the probability of molecules in the ground state (with zero energy) for a collection of molecules in thermal equilibrium atT= 338 K. Provide your answer as a number in normal form to 3 decimal places (in the form X.XXX). Hint: note that this molecule has a finite number of states so you must take a finite sum, not the expressions discussed in the video for infinite sums. 3.958 QUESTION 3 A molecule has states with the following energies: 0, 1ɛ, 2ɛ, 3ɛ, and 4ɛ, where ɛ = 0.8 x 10-20 J. Calculate the average number of molecules in the first excited state (1ɛ) for a collection of 1000 molecules in thermal equilibrium at T= 222 K. Note that the average number of molecules in a state is just the probability of the state times the number of molecules. Provide your answer as a number in normal form. 73.44 QUESTION 4 A molecule has states with the following energies: 0, 1ɛ, 2ɛ, where ɛ = 0.5 x 10-20 J. Calculate the average energy of this molecule in thermal equilibrium at T= 262 K. Provide your answer in units of ɛ. In other words, your solution should have the form of (number)ɛ, such as 2.137E, but the answer that you enter is just 2.137, a number in normal form with 3 decimal places (X.XXX).
Transcribed Image Text:QUESTION 2 A molecule has states with the following energies: 0, 1ɛ, 2ɛ, 3ɛ, and 4ɛ, where ɛ = 0.2 x 10-20 J. Calculate the probability of molecules in the ground state (with zero energy) for a collection of molecules in thermal equilibrium atT= 338 K. Provide your answer as a number in normal form to 3 decimal places (in the form X.XXX). Hint: note that this molecule has a finite number of states so you must take a finite sum, not the expressions discussed in the video for infinite sums. 3.958 QUESTION 3 A molecule has states with the following energies: 0, 1ɛ, 2ɛ, 3ɛ, and 4ɛ, where ɛ = 0.8 x 10-20 J. Calculate the average number of molecules in the first excited state (1ɛ) for a collection of 1000 molecules in thermal equilibrium at T= 222 K. Note that the average number of molecules in a state is just the probability of the state times the number of molecules. Provide your answer as a number in normal form. 73.44 QUESTION 4 A molecule has states with the following energies: 0, 1ɛ, 2ɛ, where ɛ = 0.5 x 10-20 J. Calculate the average energy of this molecule in thermal equilibrium at T= 262 K. Provide your answer in units of ɛ. In other words, your solution should have the form of (number)ɛ, such as 2.137E, but the answer that you enter is just 2.137, a number in normal form with 3 decimal places (X.XXX).
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