Chemistry - Mole Concept Question with Solution | TestHub

Let the metal oxide by${\mathrm{M}}_{\mathrm{x}}{\mathrm{O}}_{\mathrm{y}}$
${\mathrm{M}}_{\mathrm{x}}{\mathrm{O}}_{\mathrm{y}}+\mathrm{y}{\mathrm{H}}_2\to \mathrm{x}\mathrm{M}+\mathrm{y}{\mathrm{H}}_2\mathrm{O}$
Moles of metal$=\frac{3.2}{64}=0.05$
Moles of metal oxides$=\frac{3.6}{64\mathrm{x}+16\mathrm{y}}$
1 mole of metal oxides gives x mole metal M
$\frac{0.05}{\mathrm{x}}=\frac{3.6}{64\mathrm{x}+16\mathrm{y}}$
$64\mathrm{x}+16\mathrm{y}=72\mathrm{x}$
$8\mathrm{x}=16\mathrm{y}$
$\mathrm{x}=2\mathrm{y}$
Simplest formula is for x = 2, y = 1
The formula is${\mathrm{M}}_2\mathrm{O}$