To find the mass percentage of iodine [tex]\((I_2)\)[/tex] in a solution containing [tex]\(0.045 \, \text{mol} \, I_2\)[/tex] in [tex]\(115 \, \text{g} \, \text{CCl}_4\)[/tex], we need to follow these steps:
1. Calculate the mass of [tex]\(I_2\)[/tex]:
The molar mass of iodine [tex]\((I_2)\)[/tex] is approximately [tex]\(253.8 \, \text{g/mol}\)[/tex]. Given that we have [tex]\(0.045 \, \text{mol} \, I_2\)[/tex], the mass of [tex]\(I_2\)[/tex] can be calculated using the formula:
[tex]\[
\text{Mass of } I_2 = \text{Moles of } I_2 \times \text{Molar mass of } I_2
\][/tex]
[tex]\[
\text{Mass of } I_2 = 0.045 \, \text{mol} \times 253.8 \, \text{g/mol} = 11.421 \, \text{g}
\][/tex]
2. Determine the total mass of the solution:
The total mass of the solution is the sum of the mass of [tex]\(I_2\)[/tex] and the mass of [tex]\(\text{CCl}_4\)[/tex]:
[tex]\[
\text{Total mass of solution} = \text{Mass of } I_2 + \text{Mass of } CCl_4
\][/tex]
[tex]\[
\text{Total mass of solution} = 11.421 \, \text{g} + 115 \, \text{g} = 126.421 \, \text{g}
\][/tex]
3. Calculate the mass percentage of [tex]\(I_2\)[/tex]:
The mass percentage of [tex]\(I_2\)[/tex] in the solution is given by the formula:
[tex]\[
\text{Mass percentage of } I_2 = \left( \frac{\text{Mass of } I_2}{\text{Total mass of solution}} \right) \times 100\%
\][/tex]
[tex]\[
\text{Mass percentage of } I_2 = \left( \frac{11.421 \, \text{g}}{126.421 \, \text{g}} \right) \times 100\% \approx 9.0341\%
\][/tex]
Thus, the mass percentage of iodine [tex]\((I_2)\)[/tex] in the solution is approximately [tex]\(9.0341\%\)[/tex].
