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I need help on F Here we explore the statistical properties of particle translations: when they are quantized and when quantization effects are unimportant. Assume water molecules translate in one dimension. A) Calculate the average translational energy per molecule at T=1000K. 6.90×10–21 J B) Assume you can model the trasnslational energy of water molecules using the particle in a one dimensional box model. For what value of the quantum number n is the particle-in-a-box energy equal to the average translational energy that you calculated in Part A? Assume the box is one meter in length, i.e. L=1.00m. 6.17.10^10 C) Calculate the one dimensional translational partition function for water molecules at T=1000K. Assume L=1.00m. q = .7-10^10 D) What is the probability that a water molecule at T=1000K in a box of length L=1.00m has a translational energy equal to the average translational energy that you calculated in part A? Give your answer as a number between 0 andf 1. P =7.8-10^-12 E) Suppose the box that contains the water molecule has a length that is only L=10.0 nm. Calculate the quantum number n that corresponds to the average translatioanl energy per water molecule at T=1000K. Assume again that the quantum mechanical energy is that of a particle in a one dimensional box.. n = 617 F) Calculate the one dimensional translational partition function for a water molecule in a box of length L=10.0nm at T=1000K. q= The answer for F is not 7.8x10^9 nor 1.07 x 10^3 nor 1.07x10^11

I need help on F Here we explore the statistical properties of particle translations: when they are quantized and when quantization effects are unimportant. Assume water molecules translate in one dimension. A) Calculate the average translational energy per molecule at T=1000K. 6.90×10–21 J B) Assume you can model the trasnslational energy of water molecules using the particle in a one dimensional box model. For what value of the quantum number n is the particle-in-a-box energy equal to the average translational energy that you calculated in Part A? Assume the box is one meter in length, i.e. L=1.00m. 6.17.10^10 C) Calculate the one dimensional translational partition function for water molecules at T=1000K. Assume L=1.00m. q = .7-10^10 D) What is the probability that a water molecule at T=1000K in a box of length L=1.00m has a translational energy equal to the average translational energy that you calculated in part A? Give your answer as a number between 0 andf 1. P =7.8-10^-12 E) Suppose the box that contains the water molecule has a length that is only L=10.0 nm. Calculate the quantum number n that corresponds to the average translatioanl energy per water molecule at T=1000K. Assume again that the quantum mechanical energy is that of a particle in a one dimensional box.. n = 617 F) Calculate the one dimensional translational partition function for a water molecule in a box of length L=10.0nm at T=1000K. q= The answer for F is not 7.8x10^9 nor 1.07 x 10^3 nor 1.07x10^11

Chemistry
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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I need help on F Here we explore the statistical properties of particle translations: when they are quantized and when quantization effects are unimportant. Assume water molecules translate in one dimension. A) Calculate the average translational energy per molecule at T=1000K. 6.90×10–21 J B) Assume you can model the trasnslational energy of water molecules using the particle in a one dimensional box model. For what value of the quantum number n is the particle-in-a-box energy equal to the average translational energy that you calculated in Part A? Assume the box is one meter in length, i.e. L=1.00m. 6.17.10^10 C) Calculate the one dimensional translational partition function for water molecules at T=1000K. Assume L=1.00m. q = .7-10^10 D) What is the probability that a water molecule at T=1000K in a box of length L=1.00m has a translational energy equal to the average translational energy that you calculated in part A? Give your answer as a number between 0 andf 1. P =7.8-10^-12 E) Suppose the box that contains the water molecule has a length that is only L=10.0 nm. Calculate the quantum number n that corresponds to the average translatioanl energy per water molecule at T=1000K. Assume again that the quantum mechanical energy is that of a particle in a one dimensional box.. n = 617 F) Calculate the one dimensional translational partition function for a water molecule in a box of length L=10.0nm at T=1000K. q= The answer for F is not 7.8x10^9 nor 1.07 x 10^3 nor 1.07x10^11
Transcribed Image Text:I need help on F Here we explore the statistical properties of particle translations: when they are quantized and when quantization effects are unimportant. Assume water molecules translate in one dimension. A) Calculate the average translational energy per molecule at T=1000K. 6.90×10–21 J B) Assume you can model the trasnslational energy of water molecules using the particle in a one dimensional box model. For what value of the quantum number n is the particle-in-a-box energy equal to the average translational energy that you calculated in Part A? Assume the box is one meter in length, i.e. L=1.00m. 6.17.10^10 C) Calculate the one dimensional translational partition function for water molecules at T=1000K. Assume L=1.00m. q = .7-10^10 D) What is the probability that a water molecule at T=1000K in a box of length L=1.00m has a translational energy equal to the average translational energy that you calculated in part A? Give your answer as a number between 0 andf 1. P =7.8-10^-12 E) Suppose the box that contains the water molecule has a length that is only L=10.0 nm. Calculate the quantum number n that corresponds to the average translatioanl energy per water molecule at T=1000K. Assume again that the quantum mechanical energy is that of a particle in a one dimensional box.. n = 617 F) Calculate the one dimensional translational partition function for a water molecule in a box of length L=10.0nm at T=1000K. q= The answer for F is not 7.8x10^9 nor 1.07 x 10^3 nor 1.07x10^11
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