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Physics / University Physics 13 / Chapter 18 / Problem 76P

University Physics | 13th Edition | ISBN: 9780321675460 | Authors: Hugh D. Young, Roger A. Freedman

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

Chapter 18, Problem 76P

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QUESTION:

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 x 10? -27kg.) (b) The escape ½? speed for a particle to leave the gravitational influence of the sun is given by (2GM/R)? , where ?M ?is the sun’s mass, ?R its radius and ?G the gravitational constant (see Example 13.5 of Section 13.3). Use data in 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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QUESTION:

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 x 10? -27kg.) (b) The escape ½? speed for a particle to leave the gravitational influence of the sun is given by (2GM/R)? , where ?M ?is the sun’s mass, ?R its radius and ?G the gravitational constant (see Example 13.5 of Section 13.3). Use data in Appendix F to calculate this escape speed. (c) Can appreciable quantities of hydrogen escape from the sun? Can ?any ?hydrogen escape? Explain.

ANSWER:

Solution 76P Step 1: 3kT The equation for rms speed, v rms = M Where, k = 1.38 × 10 -23kg m /s K (Boltzmann constant) T - Temperature of the gas M - Molar mass

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