First, we need to find the molar mass of FeCl\(_3\). The atomic masses are:
The molar mass of FeCl\(_3\) is: \[ \text{Molar mass of FeCl}_3 = 55.845 + 3 \times 35.453 = 55.845 + 106.359 = 162.204 \, \text{g/mol} \]
Next, we calculate the mass percent of each element in FeCl\(_3\).
For Fe: \[ \text{Mass percent of Fe} = \left( \frac{55.845}{162.204} \right) \times 100 = 34.43\% \]
For Cl: \[ \text{Mass percent of Cl} = \left( \frac{3 \times 35.453}{162.204} \right) \times 100 = 65.57\% \]
Now, we find the molar mass of TiO\(_2\). The atomic masses are:
The molar mass of TiO\(_2\) is: \[ \text{Molar mass of TiO}_2 = 47.867 + 2 \times 15.999 = 47.867 + 31.998 = 79.865 \, \text{g/mol} \]
Next, we calculate the mass percent of each element in TiO\(_2\).
For Ti: \[ \text{Mass percent of Ti} = \left( \frac{47.867}{79.865} \right) \times 100 = 59.96\% \]
For O: \[ \text{Mass percent of O} = \left( \frac{2 \times 15.999}{79.865} \right) \times 100 = 40.04\% \]
\[ \boxed{\text{Mass percent of Fe, Cl in FeCl}_3 = 34.43\%, 65.57\%} \]
\[ \boxed{\text{Mass percent of Ti, O in TiO}_2 = 59.96\%, 40.04\%} \]
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