AP EAMCET · Chemistry · Solid State

Analysis shows that nickel oxide has the formula \(\mathrm{Ni}_{0.98} \mathrm{O}_{1.00}\). The fractions \(\mathrm{Ni}^{2+}\) and \(\mathrm{Ni}^{3+}\) ions in the crystal are ......

A \(\mathrm{Ni}^{2+}=98 \%\) and \(\mathrm{Ni}^{3+}=2 \%\)
B \(\mathrm{Ni}^{2+}=2 \%\) and \(\mathrm{Ni}^{3+}=98 \%\)
C \(\mathrm{Ni}^{2+}=4 \%\) and \(\mathrm{Ni}^{3+}=96 \%\)
D \(\mathrm{Ni}^{2+}=96 \%\) and \(\mathrm{Ni}^{3+}=4 \%\)

Verified Solution

Answer & Solution

Correct Answer

(D) \(\mathrm{Ni}^{2+}=96 \%\) and \(\mathrm{Ni}^{3+}=4 \%\)

Step-by-step Solution

Detailed explanation

It is given that, nickel oxide has the formula as \(\mathrm{Ni}_{0.98} \mathrm{O}_{1.00}\). As per the formula, there are \(98 \mathrm{Ni}\) ions for 100 oxide ions. Out of \(98 \mathrm{Ni}\) ions, let \(x\) ions be in +2 oxidation state. \((98-x)\) ions will be in +3 oxidation…

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

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