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

Answer

D

Explanation

(d) The energy of second Bohr orbit of hydrogen atom `(E_(2))` is -328 kJ `"mol"^(-1)`
`E_(n)=-(1312)/(n^(2))kJ mol^(-1)`
`:. E_(2)=-(1312)/(2^(2))kJ mol^(-1)`
If n=4
`:. E_(4)=-(1312)/(4^(2))kJ mol^(-1)`
`=-82 kJ mol^(-1)`