A hydrogen-like ion is an ion containing only one electron. The energies of the electron in a hydrogen-like ion are given by:\[E_n = -(2.180 \times 10^{-18} \, \text{J}) \, Z^2 \left(\frac{1}{n^2}\right)\]where \( n \) is the principal quantum number, and \( Z \) is the atomic number. Calculate the ionization energy in \(\frac{\text{kJ}}{\text{mol}}\) of the \(\text{Be}^{3+}\) ion. Use 4 significant digits.

We are given with general formula of En for Be3+

A hyavogen-ike only one electron. The energleS of the election in a hydrogenlike ion are given by: -like ion is an ion containin En -(a.150 x 10"3)z* -18 %3D na where n is the principal quantum number, and Z is the atomie number. Calulate the ronization in KJ mol energy Be ion. 4 sTanif rgniticant digits. Of the 3+

A hyavogen-ike only one electron. The energleS of the election in a hydrogenlike ion are given by: -like ion is an ion containin En -(a.150 x 10"3)z* -18 %3D na where n is the principal quantum number, and Z is the atomie number. Calulate the ronization in KJ mol energy Be ion. 4 sTanif rgniticant digits. Of the 3+

Chemistry: The Molecular Science

5th Edition

ISBN:9781285199047

Author:John W. Moore, Conrad L. Stanitski

Publisher:John W. Moore, Conrad L. Stanitski

Chapter8: Properties Of Gases

Section8.8: The Behavior Of Real (non-ideal) Gases

Problem 8.19CE: Look up the van der Waals constants, b, for H2, N2, O2, and Cl2. Based on the periodic table,...

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Question

A hydrogen-like ion is an ion containing only one electron. The energies of the electron in a hydrogen-like ion are given by:

\[
E_n = -(2.180 \times 10^{-18} \, \text{J}) \, Z^2 \left(\frac{1}{n^2}\right)
\]

where \( n \) is the principal quantum number, and \( Z \) is the atomic number. Calculate the ionization energy in \(\frac{\text{kJ}}{\text{mol}}\) of the \(\text{Be}^{3+}\) ion. Use 4 significant digits.

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