The energy of second Bohr orbit of the hydrogen atom is - text328 kJ mol- 1 The energy of fourth Bohr orbit would be:

Question

The energy of second Bohr orbit of the hydrogen atom is - text328 kJ mol- 1 The energy of fourth Bohr orbit would be: (A) - text41 kJ mol- 1 (B) - text82 kJ mol- text1 (C) - text164 kJ mol- text1 (D) - text1312 kJ mol- text1

Tardigrade Admin · Accepted Answer

We know that E n = E 1 ×(( Z / n ))2 Given E 2=( E 1/22)=-328 kJ mol -1 E 4=( E 2/22)=(-328/4) kJ mol -1=-82 kJ mol -1

Q. The energy of second Bohr orbit of the hydrogen atom is $- 328 kJ mol^{- 1}$ The energy of fourth Bohr orbit would be:

$- 41 kJ mol^{- 1}$

$- 82 kJ mol^{- 1}$

$- 164 kJ mol^{- 1}$

$- 1312 kJ mol^{- 1}$

We know that $E_{n} = E_{1} \times (\frac{Z}{n})^{2}$
Given $E_{2} = \frac{E _{1}}{2 ^{2}} = - 328 k J m o l^{- 1}$
$E_{4} = \frac{E _{2}}{2 ^{2}} = \frac{- 328}{4} k J m o l^{- 1} = - 82 k J m o l^{- 1}$

Q. The energy of second Bohr orbit of the hydrogen atom is −328 kJ mol−1 The energy of fourth Bohr orbit would be:

−41 kJ mol−1

−82 kJ mol−1

−164 kJ mol−1

−1312 kJ mol−1