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

Answer

B

Explanation

For H atom, the energy of Bohr's orbit is given as :
`-E_(n) prop (1)/((n)^(2))`
For `n=2, -328 prop (1)/(4)` ,
`n=4, E_(4) prop (1)/(16)`
On dividing : `(E_(4))/(-328)=(4)/(16)=(1)/(4)`
`E_(4)=-(328)/(4)=-82 kJ "mol"^(-1)`