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The quantity \( \frac{2 U}{f k T} \) represents (where \( U= \) internal energy of gas

1. mass of the gas
2. kinetic energy of the gas
3. number of moles of the gas
4. number of molecules in the gas

Correct answer: number of moles of the gas

Solution

For an ideal gas, internal energy is proportional to the amount of substance: U = (f/2) nRT. Rearranging gives 2U/(fkT) = n, so the expression equals the number of moles.

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