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

Energy of electron in nth orbit of hydrogen,
`E_(n) = -(E)/(n^(2))`
where E is a constant
`E_(2) = (-E)/(n^(2)) = -328 kJ mol^(-1)`
`:. E = 4 xx 328 kJ mol^(-1)`
`E_(4) = (-E)/(4^(2)) = (-4 xx 328)/(16) kJ mol^(-1)`
`= -82 kJ mol^(-1)`