Subjective Type

Analysis shows that nickel oxide has the formula $$Ni_{0.98}O_{1.00}$$. What fractions of nickel exist as $$Ni^{2+}$$ and $$Ni^{3+}$$ ions?

Solution

It is given that nickel oxide has the formula as $$Ni_{0.98}O_{1.00}$$.

As per the formula, there are $$98$$ Ni ions for $$100$$ oxide ions.

Out of $$98$$ Ni ions, let $$x$$ ions be in $$+2$$ oxidation state.

$$98-x$$ ions will be in $$+3$$ oxidation state.

Oxide ion has $$-2$$ charge.

To maintain electrical neutrality, total positive charge on cations = total negative charge on anions.

$$\displaystyle 2x + 3(98-x) + 100(-2) = 0 \\ x = 94$$

Fraction of $$\displaystyle Ni^{2+}$$ ions $$\displaystyle = \frac {94}{98} = 0.96$$

Fraction of $$\displaystyle Ni^{3+}$$ ions $$\displaystyle = \frac {98-94}{98} = 0.04$$

Hence, the fractions of nickel that exists as $$Ni^{2+}$$ and $$Ni^{3+}$$ are $$0.96$$ and $$0.04$$ respectively.

SIMILAR QUESTIONS

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