The first excited state of hydrogen atom is 10.2 eV above its ground state. What temperature is needed to excite hydrogen atoms to first excited level

Explanation

K.E. per atom=3/2KT
K.E. of the hydrogen atom=10.2 eV
`therefore 10.2 eV=10.2xx(1.6xx10^(-19))` Joule
`T=2/3xx("K.E per atom")/K`
`thereforeT=2/3xx(10.2xx1.6xx10^(-19))/(1.38xx10^(-23))`
Where `k=1.38xx10^(-23) J//mole`. `^@K`
`implies T=7.88xx10^4 K`