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NEET 2019
Exam
NEET
Year
2019
Subject
Chemistry
Chapter
Solid State

NEET 2019 · Chemistry · Solid State

Formula of nickel oxide with metal deficiency defect in its crystal...

Formula of nickel oxide with metal deficiency defect in its crystal is Ni0.98O\mathrm{Ni}_{0.98} \mathrm{O}. The crystal contains Ni2+\mathrm{Ni}^{2+} and Ni3+\mathrm{Ni}^{3+} ions. The fraction of nickel existing as Ni2+\mathrm{Ni}^{2+} ions in the crystal is

Options

  1. A0.96
  2. B0.04
  3. C0.50
  4. D0.31

Correct answer

A. 0.96

Step-by-step solution

Let, in the given crystal \mathrm{Ni}_{0.98} \mathrm{O}\mathrm{Ni}^{2+}=\mathrm{x} \text{ and } \mathrm{Ni}^{3+}=0.98-x\mathrm{x}Total charge on M2+and\mathrm{M}^{2+} and\mathrm{M}^{3+}=(+2)x+(+3)(0.98−x)=2x+2.94−3x=2.94−x\begin{aligned}& =(+2) \mathrm{x}+(+3)(0.98-\mathrm{x})\\ & =2 \mathrm{x}+2.94-3 \mathrm{x}\\ & =2.94-\mathrm{x} \end{aligned}Asmetaloxideisneutral.Therefore,totalchargeoncations=totalchargeonanions.As metal oxide is neutral. Therefore, total charge on cations = total charge on anions.2.94−x=2[∵ Charge of oxygen atom =−2]x=2.94−2=0.94\begin{aligned}2.94-\mathrm{x}& =2 \quad[\because \text{ Charge of oxygen atom }=-2] \\ \mathrm{x}& =2.94-2=0.94 \end{aligned}So,So, the fraction of\mathrm{Ni}^{2+}ionsinthecrystal=ions in the crystal =\frac{0.94}{0.98}=$0.96
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