Question
Much of the gas near the Sun is atomic hydrogen. Its temperature would have to be $1.5 \times 10^{7} \mathrm{K}$ for the average velocity $v_{\mathrm{rms}}$ to equal the escape velocity from the Sun. What is that velocity?
Step 1
Step 1: We start with the formula for the root mean square speed, which is given by: \[v_{rms} = \sqrt{\frac{3kT}{m}}\] where \(k\) is the Boltzmann constant, \(T\) is the temperature, and \(m\) is the mass of the gas molecule. Show more…
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Much of the gas near the Sun is atomic hydrogen. Its emperature would have to be $1.5 \times 10^{7}$ K for the average velocity $v_{\text { rms t to equal the escape velocity from the Sun. }}$ What is that velocity?
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