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15240672380's Question
Chemistry
Posted 5 months ago

8.) Find the mass percent of FeCl3\mathrm{FeCl}_{3} in a solution whose density is 1.42 g/mL1.42 \mathrm{~g} / \mathrm{mL} and whose molarity is 1.19M1.19 \mathrm{M}.
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Answer from Sia
Posted 5 months ago
Solution
1
Calculate the mass of 1 liter of solution: Given the density of the solution is 1.42g/mL1.42 \, \text{g/mL}, we can calculate the mass of 1 liter (1000 mL) of the solution
$ \text{Mass} = \text{Density} \times \text{Volume} = 1.42 \, \text{g/mL} \times 1000 \, \text{mL} = 1420 \, \text{g} $
2
Calculate the mass of $\mathrm{FeCl}_{3}$ in 1 liter of solution: The molarity (M) is the number of moles of solute per liter of solution. We can use the molarity to find the mass of FeCl3\mathrm{FeCl}_{3} in 1 liter. The molar mass of FeCl3\mathrm{FeCl}_{3} is 55.845g/mol+3×35.453g/mol=162.204g/mol55.845 \, \text{g/mol} + 3 \times 35.453 \, \text{g/mol} = 162.204 \, \text{g/mol}
$ \text{Moles of } \mathrm{FeCl}_{3} = 1.19 \, \text{M} = 1.19 \, \text{moles/L} $
$ \text{Mass of } \mathrm{FeCl}_{3} = \text{Moles} \times \text{Molar Mass} = 1.19 \, \text{moles} \times 162.204 \, \text{g/mol} = 193.02276 \, \text{g} $
3
Calculate the mass percent of $\mathrm{FeCl}_{3}$: The mass percent is the mass of the solute divided by the total mass of the solution, multiplied by 100
$ \text{Mass percent} = \left( \frac{\text{Mass of } \mathrm{FeCl}_{3}}{\text{Mass of solution}} \right) \times 100 = \left( \frac{193.02276 \, \text{g}}{1420 \, \text{g}} \right) \times 100 $
Answer
13.59%
Key Concept
Mass percent of a solute in a solution
Explanation
The mass percent is calculated by dividing the mass of the solute by the total mass of the solution and multiplying by 100.

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