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Among CH4, He, and N2, which gas has the highest translational kinetic energy per gram at the same temperature?

1. CH4
2. He
3. N2
4. Same for all gases

Correct answer: He

Solution

Translational KE per gram = (3/2)RT / M. Since R and T are constant, the gas with the smallest molar mass has the largest KE per gram. He (M = 4 g/mol) < CH4 (16) < N2 (28), so He wins.

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