The ground configuration of oxygen gives rise to the three levels 3P2, 3P1, and 3P0 at 0, 158.5. and 226.5 cm-1, respectively. (a) Before doing any calculation, state the value of the partition function at T = 0. (b) Write an expression for the partition function at temperature T. Remember that a level with quantum number J has 2J + 1 states. Confirm that its value at T = 0 is what you anticipated. (c) Calculate the value of the partition function at 298 K. (d) Derive an expression for the electronic contribution to the molar heat capacity of an oxygen atom and plot it as a function of temperature. (e) Eva luate the expression at 25 °C.
The ground configuration of oxygen gives rise to the three levels 3P2, 3P1, and 3P0 at 0, 158.5. and 226.5 cm-1, respectively. (a) Before doing any calculation, state the value of the partition function at T = 0. (b) Write an expression for the partition function at temperature T. Remember that a level with quantum number J has 2J + 1 states. Confirm that its value at T = 0 is what you anticipated. (c) Calculate the value of the partition function at 298 K. (d) Derive an expression for the electronic contribution to the molar heat capacity of an oxygen atom and plot it as a function of temperature. (e) Eva luate the expression at 25 °C.
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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The ground configuration of oxygen gives rise to the three levels 3P2, 3P1, and 3P0 at 0, 158.5. and 226.5 cm-1, respectively. (a) Before doing any calculation, state the value of the partition function at T = 0. (b) Write an expression for the partition function at temperature T. Remember that a level with quantum number J has 2J + 1 states. Confirm that its value at T = 0 is what you anticipated. (c) Calculate the value of the partition function at 298 K. (d) Derive an expression for the electronic contribution to the molar heat capacity of an oxygen atom and plot it as a function of temperature. (e) Eva luate the expression at 25 °C.
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