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

Answer

B

Explanation

According to Bohr's theory, enegry of the `nth` orbit is given as
`E_(n) = (Z^(2)E_(1))/(n^(2))`
For the second Bohr orbit of the `H` atom,
`-328kJ mol^(-1) = ((1)^(2)E_(1))/((2)^(2))`
Thus, `E_(1) = 1312kJ mol^(-1)`
For the fourth Bohr orbit of the `H` atom,
`E_(4) = ((1)^(2)(-1312kJ mol^(-1)))/((4)^(2)) =-82kJ mol^(-1)`