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# Hydrogen on the Sun. The surface of the sun has a ISBN: 9780321675460 31

## Solution for problem 76P Chapter 18

University Physics | 13th Edition

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Problem 76P

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.

Step-by-Step Solution:

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 Step 2: a) rms speed of hydrogen atom can be calculated using the above equation. -27 Mass of hydrogen atom, M = 1.67 × 10 kg Temperature, T = 5800 K 23 2 2 Therefore, v rms = 3×1.38 × 10 kg m27 K ×5800 K 1.67 × 10 kg v = 14378 × 10 m /s 2 2 rms 4 vrms 11991 m/s = 1.2 × 10 m/s

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##### ISBN: 9780321675460

The full step-by-step solution to problem: 76P from chapter: 18 was answered by , our top Physics solution expert on 05/06/17, 06:07PM. This full solution covers the following key subjects: hydrogen, sun, escape, speed, mass. This expansive textbook survival guide covers 26 chapters, and 2929 solutions. The answer to “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.” is broken down into a number of easy to follow steps, and 112 words. Since the solution to 76P from 18 chapter was answered, more than 454 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: University Physics, edition: 13. University Physics was written by and is associated to the ISBN: 9780321675460.

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