Questions: FeCl3 mass % of Fe, Cl = % TiO2 mass % of Ti, O = %

FeCl3

mass % of Fe, Cl = %

TiO2

mass % of Ti, O = %
Transcript text: $\mathrm{FeCl}_{3}$ mass $\%$ of $\mathrm{Fe}, \mathrm{Cl}=$ $\%$ $\mathrm{TiO}_{2}$ mass $\%$ of $\mathrm{Ti}, \mathrm{O}=$ $\%$
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Solution

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Solution Steps

Step 1: Calculate the Molar Mass of FeCl\(_3\)

First, we need to find the molar mass of FeCl\(_3\). The atomic masses are:

  • Fe: 55.845 g/mol
  • Cl: 35.453 g/mol

The molar mass of FeCl\(_3\) is: \[ \text{Molar mass of FeCl}_3 = 55.845 + 3 \times 35.453 = 55.845 + 106.359 = 162.204 \, \text{g/mol} \]

Step 2: Calculate the Mass Percent of Fe and Cl in FeCl\(_3\)

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: \[ \text{Mass percent of Cl} = \left( \frac{3 \times 35.453}{162.204} \right) \times 100 = 65.57\% \]

Step 3: Calculate the Molar Mass of TiO\(_2\)

Now, we find the molar mass of TiO\(_2\). The atomic masses are:

  • Ti: 47.867 g/mol
  • O: 15.999 g/mol

The molar mass of TiO\(_2\) is: \[ \text{Molar mass of TiO}_2 = 47.867 + 2 \times 15.999 = 47.867 + 31.998 = 79.865 \, \text{g/mol} \]

Step 4: Calculate the Mass Percent of Ti and O in TiO\(_2\)

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: \[ \text{Mass percent of O} = \left( \frac{2 \times 15.999}{79.865} \right) \times 100 = 40.04\% \]

Final Answer

\[ \boxed{\text{Mass percent of Fe, Cl in FeCl}_3 = 34.43\%, 65.57\%} \]

\[ \boxed{\text{Mass percent of Ti, O in TiO}_2 = 59.96\%, 40.04\%} \]

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