Root mean square speed of the carbon atom near the surface of sun is 32233.52 m/sec.
Root mean square speed is defined as the the square root of the average of the square of the velocity and given as [tex]\sqrt{3}[/tex]RT/M
Where R =8.3145J/mol.k
M molar mass of the molecule in kg/mol
Carbon atom has the element number as 6 and has a molecular mass of 12 au. molar mass of the molecule can be given as:
Carbon = C = 12g/mol = 0.012kg/mol
T= Temperature = 6000K
Vrms = [tex]\sqrt{3}[/tex]RT/M
Vrms = ( [tex]\sqrt{3 * 8.315 * 6000}[/tex] ) / 0.012
Vrms = 32233.52 m/sec
The rms speed of carbon atoms near the surface of the sun at a temperature of about 6000 k is 32233.52 m/sec.
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