What are the average translation kinetic energies `K_(Avg)` of the oxygen molecules and nitrogen molecules in the air that breathe ? Assume that air is an ideal gas at a temperature of 300 K , which is the traditional value taken for room temperature .

Explanation

To find the average translational kinetic energies \( K_{\text{Avg}} \) of the oxygen and nitrogen molecules in the air at a temperature of 300 K, we can use the formula for the average translational kinetic energy of an ideal gas:

\[ K_{\text{Avg}} = \frac{3}{2} k T \]

where:
- \( k \) is the Boltzmann constant, which is approximately \( 1.38 \times 10^{-23} \, \text{J/K} \)
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