The stoichiometric reaction of $516 \mathrm{g}$ of dimethyldichlorosilane with water results in a tetrameric cyclic product $\mathbf{X}$ in $75\%$ yield. The weight (in $\mathrm{g}$) of $\mathbf{X}$ obtained is ____________

[Use, molar mass $\left({\mathrm{gmol}}^{-1}\right):\mathrm{H}=1,\mathrm{C}=12,\mathrm{O}=16,\mathrm{Si}=28,\mathrm{Cl}=35.5$]

 

The dimethyldichlorosilane is ${\left({\mathrm{CH}}_3\right)}_2{\mathrm{SiCl}}_2$. The molecular mass is $129 \mathrm{u}$.

Number of moles of dimethyldichlorosilane initially taken $=\frac{516}{129}= 4\mathrm{moles}$

Applying POAC on Si atom

Moles of tetrameric cyclic product formed $=\frac{4}{4}\times \frac{75}{100}=0.75 \mathrm{moles}$

Molar mass of product formed $=296 \mathrm{g}/\mathrm{moles}$

The mass of product formed $=296\times 0.75=222 \mathrm{g}$