Consider translational motion of single 
molecule (mass = 5.314 * 10-26 kg) trapped in
one-dimensional box potential ("particle in a box), which has a
width of 5 cm.
A) What is the energy difference between the two lowest quantized energy levels?
B) The amount of classical translational thermal energy for a
molecule confined in one dimension is 1/2kT where T is the
temperature and k is the Boltzmann constant (1.381 *
10-23 J/K). If the temperature is 300 K, at what value
of n would the quantized
energy exceen the thermal energy?
C) Using the vaue of n from b), calculate the energy seperation between the adjacent levels (ie, n vs n+1)
Homework Answers
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Consider translational motion of single
molecule (mass = 5.314 * 10-26 kg) trapped in
one-dimensional box...
Calculate the probability of exciting an electron in a one-dimensional box (actually a nanoscale wire) to...
Calculate the probability of exciting an electron in a one-dimensional box (actually a nanoscale wire) to the n 2 excited state if the box is 10.0 nm long and the temperature is 410.0 K. For the one- dimensional box, En = n2t2h2/(2ma2) and the levels are non-degenerate (but remember that the energy should be measured relative to the ground state). For this example, T2h/(2mea2) is equal to 1.381- 10 23 JK-1 J and the partition function is 2.44. kB 6.02-10-22...
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Please answer below question (A-C). Thank you 3 attempts lett Check my work te the difference in energy between the n -2 and n-1 states of an electron in a one- (a) Calcula dimensional box with a...
Please answer below question (A-C). Thank you
3 attempts lett Check my work te the difference in energy between the n -2 and n-1 states of an electron in a one- (a) Calcula dimensional box with a length of 0.50 nm. x 10.J (b) Caleulate the difference in energy between the n - 2 and n -1 states for an oxygen molecule in a one-dimensional box with a length of 10 cm x 10J (c) What do the different values...
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Solve the LAST ONE INCLUDE ALL
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The force constant for the carbon monoxide molecule is 1,908 N m At 1,000 K what is the probability that the molecule will be found in the lowest excited state? At a given temperature the rotational states of molecules are distributed according to the Boltzmann distribution. Of the hydrogen molecules in the ground state estimate the ratio of the number in the ground rotational state to the number in the first excited...
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Calculate the probability of exciting an electron in a one-dimensional box (actually a nanoscale wire) to the n 2 excited state if the box is 10.0 nm long and the temperature is 410.0 K. For the one- dimensional box, En = n2t2h2/(2ma2) and the levels are non-degenerate (but remember that the energy should be measured relative to the ground state). For this example, T2h/(2mea2) is equal to 1.381- 10 23 JK-1 J and the partition function is 2.44. kB 6.02-10-22...
Please answer below question (A-C). Thank you
3 attempts lett Check my work te the difference in energy between the n -2 and n-1 states of an electron in a one- (a) Calcula dimensional box with a length of 0.50 nm. x 10.J (b) Caleulate the difference in energy between the n - 2 and n -1 states for an oxygen molecule in a one-dimensional box with a length of 10 cm x 10J (c) What do the different values...
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Solve the LAST ONE INCLUDE ALL
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