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# Find the rms speed and the average kinetic energy of a hydrogen atom at a temperature of $10^7 \mathrm{~K}$. (At this temperature, which is of the order of the temperature in the interior of a star, the hydrogen is ionized and consists of a single proton.)

Solution

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Given:

Molar mass of hydrogen atom $\,\rightarrow\,$ $M$ = $1.0 \times 10^{-3}\text{ kg/mol}$

Temperature $\,\rightarrow\,$ $T$ = $1.0 \times 10^{7}\text{ K}$

We have a hydrogen atom at a very high temperature. We are asked to determine its rms speed and its average kinetic energy at such a high temperature. We will make use of rms speed equation and average kinetic energy equation.

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