# 2.16    (i) The energy associated with the first orbit in the hydrogen atom is $-2.18\times 10^{-18}\ \textup{J atom}^{-1}$. What is the energy associated with the fifth orbit?

D Divya Prakash Singh

The energy associated with the first orbit in the hydrogen atom is $-2.18\times 10^{-18}\ \textup{J atom}^{-1}\ \ \ \ \ \ \ \ \ \ \ \ \(Given)$

The energy of an electron in $n^{th}$ shell is given by:

$E = \frac{-2.18\times10^{-18}}{n^2}J\ atom^{-1}$

So, the energy associated with the fifth orbit would be:

$E = \frac{-2.18\times10^{-18}}{5^2}J\ atom^{-1} = \frac{-2.18\times10^{-18}}{25} J\ atom^{-1}$

$E_{5} = -8.72\times10^{-20} J$

Exams
Articles
Questions