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?

Answers (1)
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

     

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