We are asked what is the identity of the metal if the compound contains 65.57 % Cl by mass.

$\overline{){\mathbf{\%}}{\mathbf{}}{\mathbf{Cl}}{\mathbf{}}{\mathbf{=}}{\mathbf{}}\frac{\mathbf{molar}\mathbf{}\mathbf{mass}\mathbf{}\mathbf{Cl}}{\mathbf{molar}\mathbf{}\mathbf{mass}\mathbf{}{\mathbf{MCl}}_{\mathbf{3}}}{\mathbf{\times}}{\mathbf{100}}}\phantom{\rule{0ex}{0ex}}\mathbf{65}\mathbf{.}\mathbf{57}\mathbf{}\mathbf{=}\mathbf{}\frac{\mathbf{3}\mathbf{(}\mathbf{35}\mathbf{.}\mathbf{45}\mathbf{)}}{\mathbf{molar}\mathbf{}\mathbf{mass}\mathbf{}{\mathbf{MCl}}_{\mathbf{3}}}\mathbf{\times}\mathbf{100}\phantom{\rule{0ex}{0ex}}\mathbf{molar}\mathbf{}\mathbf{mass}\mathbf{}{\mathbf{MCl}}_{\mathbf{3}}\mathbf{=}\mathbf{}\frac{\mathbf{3}\mathbf{(}\mathbf{35}\mathbf{.}\mathbf{45}\mathbf{)}}{\mathbf{65}\mathbf{.}\mathbf{57}}\mathbf{\times}\mathbf{100}$

**molar mass MCl _{3 }= 162.19 g/mol**

A metal (M) forms a compound with the formula MCl_{3}.

If the compound contains 65.57 % Cl by mass, what is the identity of the metal?

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