The energy of second Bohr orbit of the hydrogen atom is -328 kJ mol−1 ; hence the energy of fourth Bohr orbit would be

Question

The energy of second Bohr orbit of the hydrogen atom is -328 kJ mol−1 ; hence the energy of fourth Bohr orbit would be (A)  -41 kJ mol−1  (B)  -1312 kJ mol−1  (C)  -164 kJ mol−1  (D)  -82 kJ mol−1

Tardigrade Admin · Accepted Answer

The energy of second Bohr orbit of hydrogen atom (E2) is -328 kJ molâ1 because E2=-(1312/22)kJ mol-1 ∴ En=-(1312/n2)kJ mol-1 If n=4 ∴ E4=-(1312/42) kJ mol-1 =-82 kJ mol-1

Q. The energy of second Bohr orbit of the hydrogen atom is $- 328 k J m o l^{- 1}$ ; hence the energy of fourth Bohr orbit would be

$- 41 k J m o l^{- 1}$

$- 1312 k J m o l^{- 1}$

$- 164 k J m o l^{- 1}$

$- 82 k J m o l^{- 1}$

The energy of second Bohr orbit of hydrogen atom $(E_{2})$ is $- 328 k J m o l^{- 1}$ because
$E_{2} = - \frac{1312}{2 ^{2}} k J m o l^{- 1}$
$∴ E_{n} = - \frac{1312}{n ^{2}} k J m o l^{- 1}$
If $n = 4$
$∴ E_{4} = - \frac{1312}{4 ^{2}} k J m o l^{- 1}$
$= - 82 k J m o l^{- 1}$

Q. The energy of second Bohr orbit of the hydrogen atom is −328kJmol−1 ; hence the energy of fourth Bohr orbit would be

−41kJmol−1

−1312kJmol−1

−164kJmol−1

−82kJmol−1