Chapter 7, Problem 177CP

Interpretation Introduction

Interpretation: The values of $\text{X}$ and $\text{m}$ in the given one electron ion ${\text{X}}^{\text{m}+}$ is to be found.

Concept introduction: The atomic number $\left(z\right)$ of an unknown element can be determined by calculating the ionization energy using the formula $\text{I}={\text{E}}_{\infty }-{\text{E}}_1$ $\left(\text{where,}{E}_n=-2.178\times {10}^{-18}\text{J}\left(\frac{z^2}{n^2}\right)\right)$ and substituting this in the following formula,

Ground state ionization energy $=\text{Ionization}\text{energy}\times \left(z^2\right)$

To determine: The $\text{X}$ and $\text{m}$ values in the given one electron ion ${\text{X}}^{\text{m}+}$.