The energy of second Bohr orbit of the hydrogen atom is `-328 K kJ "mol"^(-1)`. Hence , the energy of fourth Bohr orbit would be

Options

A. `-41 kJ "mol"^(-1)`
B. `-1312 kJ "mol"^(-1)`
C. `-164 kJ "mol"^(-1)`
D. `-82 kJ "mol"^(-1)`

Answer

D

Explanation

The energy of second Borh orbit of hydrogen atom `(E_2) " is " -328 kJ "mol"^(-1)` because
`E_2 = -1312/2^2 kJ "mol"^(-1) =328 kJ "mol"^(-1)`
`:. E_n = - 1312/n^2 kJ "mol"^(-1)`
If `n=4`
`:. E_4 =-1312/4^2 kJ "mol"^(-1)`
`= - 82 kJ "mol"^(-1)`