The surface of the sun has a temperature of about 5800K and consists largely of

Question

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



find the rms speed of a hydrogen atom at this temperature.
the mass of a single hydrogen atom is 1.67*10^-27kg

The escape speed for a particle to leave the gravational influence of the sun is given by (2GM/R)^1/2, where M is the sun's mass R its radius, and G the gravational constant. The sun's mass is M=1.99*10^30 kg, its radius R= 6.96*10^8m And G=6.673*10^-11 n*m^2/kg^2.

Calculate the escape speed for the sun

Explanation / Answer

Given temparature of sun T = 5800K mass of hydrogen atom   M = 1.67*10^ -27 kg RMS sped of hydrogen atom is                     v rms = ( 3 K T / M ) 1/2                            = ( 3 *1.38*10-23 J /k *5800 / 1.67*10^ -27 ) 1/2                              = 1.199*104 m/s escape speed for the sun is                v escp = ( 2GM /R ) 1/2                             = ( 2 * 6.673*10 ^ -11 *1.99*10^ 30 / 6.96*10 ^ 8 ) ^ (1/2)                           = 6.177*10^ 5   m/s

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