Question

calculate the energy of hydrogen atom first exited state in electrom volt​

Answer 1

$\textsf{\underline{\Large{Structure of the Atom}}}$ :

$\textsf{\underline{\large{Solution}}}$ :

First excitation energy is the amount of energy required to excite the electron from ground state ( n = 1 ) to first excited state ( n = 2 ).

For hydrogen,

$\boxed{\mathsf{\Delta{E\:=\:E_2\:-\:E_1}}}$

$\mathsf{\Delta{E\:=\:-{\dfrac{13.6}{{2}^{2}}}\:-\:(\:-\:{\dfrac{13.6}{{1}^{2}}})}}$

$\mathsf{\Delta{E\:=\:-\:6.8\:+\:13.6\:eV/atom}}$

$\boxed{\mathsf{\Delta{E\:=\:6.8\:eV/atom}}}$