Verified Solution • 2025–26 Session moderate

QJEEM23Chb0f1: JEE Main 2023 Chemistry - Class 11 JEEM23Chb0f1 Solution: A sample of a metal oxide has formula . The metal can exist in…

A sample of a metal oxide has formula M0.83O1.00\mathrm{M}_{0.83} \mathrm{O}_{1.00} . The metal M\mathrm{M} can exist in two oxidation states +2+2 and +3+3 .

In the sample of M0.83O1.00\mathrm{M}_{0.83} \mathrm{O}_{1.00} , the percentage of metal ions existing in +2+2 oxidation state is __________ %\% . (nearest integer)

Step-by-Step Verified Solution

Let, metal M\mathrm{M} present x and (0.83 - x) in oxidation states +2+2 and +3+3 respectively.

amp;2x+3(0.83−x)=2amp;x=0.49amp;%M2+=0.490.83×100amp;=59%\begin{aligned}& 2 x+3(0.83-x)=2 \\\\& x=0.49 \\\\& \% M^{2+}=\frac{0.49}{0.83} \times 100 \\\\& =59 \%\end{aligned}

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