(a) What is an isoelectronic series? (b) Which neutral atom is isoelectronic with each of the following ions: \(\mathrm{Ga}^{3+}, \mathrm{Zr}^{4+}\) \(\mathrm{Mn}^{7+}, \Gamma, \mathrm{Pb}^{2+} ?\)

Short Answer

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(a) An isoelectronic series is a group of ions or atoms that share the same number of electrons but may have different charges and atomic numbers. (b) The neutral atoms isoelectronic with the given ions are: \(\mathrm{Ga}^{3+}\) - Nickel (Ni), \(\mathrm{Zr}^{4+}\) - Krypton (Kr), \(\mathrm{Mn}^{7+}\) - Argon (Ar), and \(\mathrm{Pb}^{2+}\) - Mercury (Hg).

Step by step solution

01

Understand an isoelectronic series

An isoelectronic series is a group of ions or atoms that share the same number of electrons but may have different charges and atomic numbers.
02

Calculate the number of electrons in each ion

1. For \(\mathrm{Ga}^{3+}\): The atomic number of Gallium (Ga) is 31. Since it has a charge of +3, it has lost 3 electrons. Therefore, the number of electrons in this ion is \(31-3=28\). 2. For \(\mathrm{Zr}^{4+}\): The atomic number of Zirconium (Zr) is 40. Since it has a charge of +4, it has lost 4 electrons. Therefore, the number of electrons in this ion is \(40-4=36\). 3. For \(\mathrm{Mn}^{7+}\): The atomic number of Manganese (Mn) is 25. Since it has a charge of +7, it has lost 7 electrons. Therefore, the number of electrons in this ion is \(25-7=18\). 4. For \(\mathrm{Pb}^{2+}\): The atomic number of Lead (Pb) is 82. Since it has a charge of +2, it has lost 2 electrons. Therefore, the number of electrons in this ion is \(82-2=80\).
03

Find the neutral atoms with the calculated electrons

1. For 28 electrons, the neutral atom is Nickel (Ni), which has an atomic number of 28. 2. For 36 electrons, the neutral atom is Krypton (Kr), which has an atomic number of 36. 3. For 18 electrons, the neutral atom is Argon (Ar), which has an atomic number of 18. 4. For 80 electrons, the neutral atom is Mercury (Hg), which has an atomic number of 80.
04

List the isoelectronic neutral atoms

Isoelectronic neutral atoms for the given ions are as follows: - \(\mathrm{Ga}^{3+}\): Nickel (Ni) - \(\mathrm{Zr}^{4+}\): Krypton (Kr) - \(\mathrm{Mn}^{7+}\): Argon (Ar) - \(\mathrm{Pb}^{2+}\): Mercury (Hg)

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