SiO_{2} + 2 C → Si + 2 CO

**$\mathbf{155}\mathbf{.}\mathbf{9}\mathbf{}\overline{)\mathbf{kg}\mathbf{}{\mathbf{SiO}}_{\mathbf{2}}}\mathbf{}\mathbf{\times}\frac{\mathbf{1}\mathbf{}\overline{)\mathbf{mol}\mathbf{}{\mathbf{SiO}}_{\mathbf{2}}}}{\mathbf{60}\mathbf{.}\mathbf{08}\mathbf{\times}{\mathbf{10}}^{\mathbf{-}\mathbf{3}}\mathbf{}\overline{)\mathbf{kg}\mathbf{}{\mathbf{SiO}}_{\mathbf{2}}}}\mathbf{\times}\frac{\mathbf{1}\mathbf{}\overline{)\mathbf{mol}\mathbf{}\mathbf{Si}}}{\mathbf{1}\mathbf{}\overline{)\mathbf{mol}\mathbf{}{\mathbf{SiO}}_{\mathbf{2}}}}\mathbf{\times}\frac{\mathbf{28}\mathbf{.}\mathbf{09}\mathbf{\times}{\mathbf{10}}^{\mathbf{-}\mathbf{3}}\mathbf{}\mathbf{kg}\mathbf{}\mathbf{Si}}{\mathbf{1}\overline{)\mathbf{}\mathbf{mol}\mathbf{}\mathbf{Si}}}$ = 72.89 kg Si → limiting**

**$\mathbf{78}\mathbf{.}\mathbf{4}\mathbf{}\overline{)\mathbf{kg}\mathbf{}\mathbf{C}}\mathbf{}\mathbf{\times}\frac{\mathbf{1}\mathbf{}\overline{)\mathbf{mol}\mathbf{}\mathbf{C}}}{\mathbf{12}\mathbf{.}\mathbf{00}\mathbf{\times}{\mathbf{10}}^{\mathbf{-}\mathbf{3}}\mathbf{}\overline{)\mathbf{kg}\mathbf{}\mathbf{C}}}\mathbf{\times}\frac{\mathbf{1}\mathbf{}\overline{)\mathbf{mol}\mathbf{}\mathbf{Si}}}{\mathbf{2}\mathbf{}\overline{)\mathbf{mol}\mathbf{}\mathbf{C}}}\mathbf{\times}\frac{\mathbf{28}\mathbf{.}\mathbf{09}\mathbf{\times}{\mathbf{10}}^{\mathbf{-}\mathbf{3}}\mathbf{}\mathbf{kg}\mathbf{}\mathbf{Si}}{\mathbf{1}\overline{)\mathbf{}\mathbf{mol}\mathbf{}\mathbf{Si}}}$ = 91.76 kg Si → excess**

Many computer chips are manufactured from silicon, which occurs in nature as SiO_{2}. When SiO_{2} is heated to melting, it reacts with solid carbon to form liquid silicon and carbon monoxide gas. In an industrial preparation of silicon, 155.9 kg of SiO_{2} is allowed to react with 78.4 kg of carbon to produce 66.2 kg of silicon.

Determine the percent yield for the reaction.

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