Last week, we used the equipartition theorem to calculate the \"energy\" of 10.0

Question

Last week, we used the equipartition theorem to calculate the "energy" of 10.0 g of carbon dioxide, argon, and hydrogen at 315 K. As we have seen in lecture, this energy contribution from translational, rotational, and vibrational modes makes up specifically the "internal energy." Use the internal energy to compute the molar heat capacity of the three gases at 315 K and 4500 K. Account for only the contributions of the molecular motions that are likely valid at the specified temperatures for each molecule. State any assumptions you needed to make to arrive at your answer.

Explanation / Answer

The equipartition theorem is a general formula that relates the temperature of a system with average energies. The equipartition theorem is also known as law of equipartition, equipartition of energy or simply equipartition. The original idea of equipartition was that in thermal equilibrium energy is equally shared among all of its various forms. The equipartition theorem makes quantitative prediction. It gives a total average kinetic energy and potential energy for a system, at a given temperature from which the system's heat capacity can be computed.

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