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Temperature

What is the t...

Question

What is the total random translational energy of the molecules in one mole of this gas ?

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Solution

Translational energy of one molecule is given by

$E_{T} = \frac{3}{2} k T$

Thus, for one mole,

$E_{T} = \frac{3}{2} N_{A} k T = \frac{3}{2} R T$

Thus, $E_{T} = \frac{3}{2} (8.314) (300) = 3740 J$

Answer is $3740 J$

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