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  4. A sample of a metal oxide has formula M 0.83 O 1.00. The metal M can exist in two oxidation states +2 and +3. In the sample of M 0.83 O 1.00, the percentage of metal ions existing in +2 oxidation state is %. (nearest integer)

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Q. A sample of a metal oxide has formula $M _{0.83} O _{1.00}$. The metal $M$ can exist in two oxidation states $+2$ and $+3$. In the sample of $M _{0.83} O _{1.00}$, the percentage of metal ions existing in $+2$ oxidation state is___$ \%$. (nearest integer)

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Solution:

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$ 2 x+3(0.83-x)=2 $
$ x=0.49 $
$ \% M^{2+}=\frac{0.49}{0.83} \times 100 $
$ =59 \%$