Estimate the average thernal energy of a helium atom at (i) room temperature `27^(@)C` (ii) the temperature on the surface of the sun (6000k) and (iii) the typical core temperature of the star (10 million kelvin).

Explanation

For Helium atom (Monoatomic gas)
`E=(3)/(2)K_(B)T "where" K=1.38xx10^(-23)Jk^(-1)`
(i) `E=(3)/(2)xx1.38xx10^(23)xx300=1242xx10^(-23)=1.242xx10^(-20)Jdiv1.6xx10^(-19)`
=0.0776cV (electron volt)
(ii) `E=(3)/(2)xx1.38xx10^(-23)xx6xx10^(3)=12.42xx10^%(-20)`
`=1.292xx10^(-19)jdiv1.6xx10^(-19)`
=0.776eV.
(iii) `E=(3)/(2)xx1.38xx10^(-23)xx10^(1)xx10^(6)`
`=2.07xx10^(-16)div1.6xx10^(-19)`
E = 1.294keV.