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A sample of wustite $Fe_xO$ contains one $Fe(III)$ for every three $Fe(II).$ Calculate the value of x.

$\begin{array}{1 1} Fe_2O_3 \\ Fe_8O_{9-} \\ Fe_2O_4 \\ Fe_6O_3 \end{array}$

Answer : $Fe_8O_{9-}$
Amount of $Fe(III) =(1/4)\;mol$
and Amount of $Fe(II)= (3/4) mol$
Let x be 1 mol of iron atom. We will have
Total negative charges $=x(2)$
To satisfy electrical neutrality , we have
Total positive charges = Total negative charges