Thursday, October 24, 2019
Thermal Physics :: essays research papers
Thermal Physics ââ¬â 340à à à à à à à à à à à à à à à à à à à à à à à à à Exam #1 Due Monday, February 18th, at the start of class As discussed in class, submission of your solutions to this exam will indicate that you have not communicated with others concerning this exam. You may use reference texts and other information at your disposal. Do all problems separately on clean white standard 8.5â⬠X 11â⬠photocopier paper (no notebook paper or scratch paper). Write on only one side of the paper (I donââ¬â¢t do double sided). Staple the entire solution set in the upper left hand corner (no binders or clips). Donââ¬â¢t turn in pages where you have scratched out or erased excessively, re-write the pages cleanly and neatly. All problems are equally weighted. Assume we are working with ââ¬Å"normalâ⬠pressures and temperatures with ideal gases unless noted otherwise. Make sure you list all assumptions that you use (symmetry, isotropy, binomial expansion, etc.). 1. A container has one wall which contains many small holes, and outside the container is vacuum. If the container is filled with He at pressure Po, it is found that after one hour the pressure inside the container is Po/2. The container is now filled with an equal number of He and Ne atoms to a total pressure of Po. (a). Calculate the ratio of the number of Ne to He atoms left in the container after one hour. (b). Would this problem be more difficult if the atoms were initially C and H? Explain from two standpoints, the realistic standpoint and the physics-land standpoint. The latter explanation should invoke the assumptions made in the ideal gas model, the former something you know about chemistry. (c). Explain why such a container might be useful in the case of isotopes, especially a series of such containers set up so that what comes out of the first goes into the second and so on. 2. A He and H atom collide elastically in a head-on collision. (a). If they have the same kinetic energy (KE) to begin with, which one gains KE? Answer this by calculating the amount gained and lost for both, relative to their initial value. (b). Suppose the atoms had the same mass but different kinetic energies? Do not do a detailed calculation here, but instead make a physical argument as to why the ââ¬Å"slowerâ⬠thus ââ¬Å"coolerâ⬠atoms would slow down the faster, hotter atoms. This is one process for the moderation of hot neutrons in a nuclear fission reactor by the water used as its coolant. Thermal Physics :: essays research papers Thermal Physics ââ¬â 340à à à à à à à à à à à à à à à à à à à à à à à à à Exam #1 Due Monday, February 18th, at the start of class As discussed in class, submission of your solutions to this exam will indicate that you have not communicated with others concerning this exam. You may use reference texts and other information at your disposal. Do all problems separately on clean white standard 8.5â⬠X 11â⬠photocopier paper (no notebook paper or scratch paper). Write on only one side of the paper (I donââ¬â¢t do double sided). Staple the entire solution set in the upper left hand corner (no binders or clips). Donââ¬â¢t turn in pages where you have scratched out or erased excessively, re-write the pages cleanly and neatly. All problems are equally weighted. Assume we are working with ââ¬Å"normalâ⬠pressures and temperatures with ideal gases unless noted otherwise. Make sure you list all assumptions that you use (symmetry, isotropy, binomial expansion, etc.). 1. A container has one wall which contains many small holes, and outside the container is vacuum. If the container is filled with He at pressure Po, it is found that after one hour the pressure inside the container is Po/2. The container is now filled with an equal number of He and Ne atoms to a total pressure of Po. (a). Calculate the ratio of the number of Ne to He atoms left in the container after one hour. (b). Would this problem be more difficult if the atoms were initially C and H? Explain from two standpoints, the realistic standpoint and the physics-land standpoint. The latter explanation should invoke the assumptions made in the ideal gas model, the former something you know about chemistry. (c). Explain why such a container might be useful in the case of isotopes, especially a series of such containers set up so that what comes out of the first goes into the second and so on. 2. A He and H atom collide elastically in a head-on collision. (a). If they have the same kinetic energy (KE) to begin with, which one gains KE? Answer this by calculating the amount gained and lost for both, relative to their initial value. (b). Suppose the atoms had the same mass but different kinetic energies? Do not do a detailed calculation here, but instead make a physical argument as to why the ââ¬Å"slowerâ⬠thus ââ¬Å"coolerâ⬠atoms would slow down the faster, hotter atoms. This is one process for the moderation of hot neutrons in a nuclear fission reactor by the water used as its coolant.
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