The energy of second Bohr orbit of the hydrogen atom is `- 328 k J mol^-1`, hence the energy of fourth Bohr orbit would be.

Options

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

Answer

A

Explanation

(a) The energy if second Bohr orbit of hydrogen atom `(E_2)` is `- 328 kJ mol^-1`
Because, `E_2 = (-1312)/(2^2) kJ mo`
`:. E_n = (-1312)/(n^2) kJ mol^-1` (if `n = 4`)
`:. E_4 = (-1312)/(4^2) = -82 kJ mol^-1`.