At what temperature the mean speed of the molecules of hydrogen gas equals the escape speed from the earth?

Explanation

To find the temperature at which the mean speed of the molecules of hydrogen gas equals the escape speed from the Earth, we can follow these steps:

### Step 1: Write the formulas for mean speed and escape speed
The mean speed \( v \) of gas molecules is given by the formula:
\[ v = \sqrt{\frac{8RT}{\pi m}} \]
where:
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