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Coordination Compounds question

2021 · 25 Feb · Shift 2 · Q16
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Coordination Compounds question

2021 · 25 Feb · Shift 2 · Q16

JEE MainChemistryCoordination CompoundsNumerical+4 / −1
The spin only magnetic moment of a divalent ion in aqueous solution (atomic number 29) is ‾\underline{\hspace{2cm}}​ BM.
Numerical answer
View written solutionFree

Correct answer: 2

  1. Identify the element from atomic number

Atomic number 292929 corresponds to copper, Cu.

  1. Write the electronic configuration of the neutral atom

For copper:

Cu:[Ar] 3d104s1\mathrm{Cu}: [Ar] \, 3d^{10}4s^1Cu:[Ar]3d104s1

  1. Find the configuration of the divalent ion

A divalent ion is Cu2+\mathrm{Cu^{2+}}Cu2+. Electrons are removed first from 4s4s4s, then from 3d3d3d:

Cu2+:[Ar] 3d9\mathrm{Cu^{2+}}: [Ar] \, 3d^9Cu2+:[Ar]3d9

  1. Consider aqueous solution

In aqueous solution, Cu2+\mathrm{Cu^{2+}}Cu2+ forms hydrated complexes, but for magnetic moment we need the number of unpaired electrons in 3d93d^93d9.

For 3d93d^93d9, the number of unpaired electrons is:

n=1n = 1n=1

  1. Use spin-only magnetic moment formula

μ=n(n+2) BM\mu = \sqrt{n(n+2)}\ \text{BM}μ=n(n+2)​ BM

Substitute n=1n=1n=1:

μ=1(1+2)=3 BM\mu = \sqrt{1(1+2)} = \sqrt{3}\ \text{BM}μ=1(1+2)​=3​ BM

μ≈1.73 BM\mu \approx 1.73\ \text{BM}μ≈1.73 BM

  1. Integer answer

Since the question is of integer type, the value is taken as nearest integer:

2\boxed{2}2​

  1. Comparison with stored answer

Stored correct answer = 222.

Our derived integer answer also is 222, so they agree.

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