Solution: Hydrogen on the Sun. The surface of the sun has a

Chapter 18, Problem 18.72

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Hydrogen on the Sun. The surface of the sun has a temperature of about 5800 K and consists largely of hydrogen atoms.

(a) Find the rms speed of a hydrogen atom at this temperature. (The mass of a single hydrogen atom is \(1.67 \times 10^{-27}\mathrm{\ kg}\).)

(b) The escape speed for a particle to leave the gravitational influence of the sun is given by \((2 G M / R)^{1 / 2}\), where M is the sun’s mass, R its radius, and G the gravitational constant (see Example 13.5 of Section 13.3). Use Appendix F to calculate this escape speed.

(c) Can appreciable quantities of hydrogen escape from the sun? Can any hydrogen escape? Explain.

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