A Determination of the Ratio of the Specific Heats of - download pdf or read online

By Shields M. C.

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Extra resources for A Determination of the Ratio of the Specific Heats of Hydrogen at 18 and -190C

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This simple example leads to a further important insight. e. know which is which, then the situations with 0 or 2~ in total energy can each be obtained in just one way. But an energy of E is obtained if either is in the lower level and the other in the upper one, in two ways. If both levels are equally likely to be populated this energy is twice as likely to occur as either of the others. Generalising, this implies that some population distributions and some energy values are more likely to occur than others.

22) showing that over one-third of the molecules are in it at room temperature. As before, we could work out what this implies as a molar contribution to the total energy of the system but it is obviously appreciable, and so is the effect on the heat capacity. But, as with all light diatomic molecules, there is no contribution to the heat capacity at this temperature from vibrational motion, since the first excited vibrational level is too far removed in energy from the ground state to be occupied.

33) That is, the total partition function can be written as a product of individual partition functions that originate in each type of energy that the molecule possesses. This is a general result that appears whenever the total energy can be written as the sum of independent contributions. It implies that we can evaluate each independently and we find below that doing this, with further assumptions, turns the infinite series in q into an easily evaluated algebraic function. The principles involved are most readily appreciated by considering the smaller contributions first.

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A Determination of the Ratio of the Specific Heats of Hydrogen at 18 and -190C by Shields M. C.


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