Consider N2 at a temperature of 293 K in a cube with a side length of 1 cm. Let us find the number of translational energy states that lie below the average translational energy under these conditions.

Question

Consider [latex]N_{2}[/latex] at a temperature of 293 K in a cube with a side length of 1 cm. Let us find the number of translational energy states that lie below the average translational energy under these conditions.

Accepted Answer

Thus, we use [latex]\epsilon ^{\divideontimes } = \frac{3}{2} kT[/latex] from kinetic theory to find that [latex]\Gamma = 2 imes 10^{26}[/latex] . The total number of particles in a [latex]1 cm^{3}[/latex] volume at standard temperature and pressure is [latex]3 imes 10^{19}[/latex]. Hence, we find that only about 1 in every [latex]10^{7}[/latex]available translational energy states is actually occupied on average by a particle under these conditions.

Question 3.2: Consider N2 at a temperature of 293 K in a cube with a side ...

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