Chemistry
Chemistry
10th Edition
ISBN: 9781305957404
Author: Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher: Cengage Learning
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This question has several parts that must be completed sequentially. Please use the values in the resources listed below instead of the textbook values.
Derivation
Calculate the equilibrium constant for the following reaction at 1224 K.
12(g) = 2 I(g)
The bond length of I₂ is 2.67 Å, and the vibrational wavenumber is 214.5 cm-1. The bond dissociation energy of I₂ is 151.0 kJ.mol-¹. [Hint: To calculate the degeneracy of the iodine atom in its
ground electronic state, note that there is an unpaired electron in the 5p orbital. The degeneracy is given by (2J + 1), where J, the total angular momentum, is given by the sum of the orbital
angular momentum and spin angular momentum. (Assume a standard pressure of 1.00 bar and a mass of 126.90 amu for I.)]
Step 1 of 11
Provide the equation needed to calculate the translational partition function for the iodine atom. (Use the following as necessary: h, kB, m, π, T, and V.)
(2лmkT)
(³) v
V
B
qtrans, I
=
(2πmkBT) V
h³
h³
Step 2 of 11
Substitute numerical values into the equation from Step 1 to calculate the value of the translational partition function for the iodine atom.
qtrans, I = 1.704e-3
Submit
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Transcribed Image Text:This question has several parts that must be completed sequentially. Please use the values in the resources listed below instead of the textbook values. Derivation Calculate the equilibrium constant for the following reaction at 1224 K. 12(g) = 2 I(g) The bond length of I₂ is 2.67 Å, and the vibrational wavenumber is 214.5 cm-1. The bond dissociation energy of I₂ is 151.0 kJ.mol-¹. [Hint: To calculate the degeneracy of the iodine atom in its ground electronic state, note that there is an unpaired electron in the 5p orbital. The degeneracy is given by (2J + 1), where J, the total angular momentum, is given by the sum of the orbital angular momentum and spin angular momentum. (Assume a standard pressure of 1.00 bar and a mass of 126.90 amu for I.)] Step 1 of 11 Provide the equation needed to calculate the translational partition function for the iodine atom. (Use the following as necessary: h, kB, m, π, T, and V.) (2лmkT) (³) v V B qtrans, I = (2πmkBT) V h³ h³ Step 2 of 11 Substitute numerical values into the equation from Step 1 to calculate the value of the translational partition function for the iodine atom. qtrans, I = 1.704e-3 Submit
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