Compute the temperature at which the rms speed is equal to the speed of escape from the surface of the earth for hydrogen and for oxygen. The temperature of the uper atmosphere is about 10000 K. Would you expect to find a lot of hydrogen there or a lot of oxygen ?

Explanation

To solve the problem, we need to compute the temperature at which the root mean square (rms) speed of hydrogen and oxygen equals the escape velocity from the surface of the Earth. The escape velocity is given as 11.6 km/s, which we will convert to meters per second.

### Step 1: Convert Escape Velocity to Meters per Second
The escape velocity is given as:
\[ v_e = 11.6 \text{ km/s} = 11.6 \times 10^3 \text{ m/s} \]

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