Questions: A 1.05 L solution was made by mixing 462 mL of hexane, which has a density of 0.66 g / mL, and 0.61 L of toluene, which has a density of 0.87 g / mL. Calculate the volume percent of hexane in this solution.

A 1.05 L solution was made by mixing 462 mL of hexane, which has a density of 0.66 g / mL, and 0.61 L of toluene, which has a density of 0.87 g / mL. Calculate the volume percent of hexane in this solution.
Transcript text: A 1.05 L solution was made by mixing 462 mL of hexane, which has a density of $0.66 \mathrm{~g} / \mathrm{mL}$, and 0.61 L of toluene, which has a density of $0.87 \mathrm{~g} / \mathrm{mL}$. Calculate the volume percent of hexane in this solution.
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Solution

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Solution Steps

Step 1: Calculate the Volume of Hexane

The volume of hexane is given as 462 mL. To convert this to liters, we use the conversion factor \(1 \, \text{L} = 1000 \, \text{mL}\):

\[ \text{Volume of hexane in liters} = \frac{462 \, \text{mL}}{1000} = 0.462 \, \text{L} \]

Step 2: Calculate the Total Volume of the Solution

The total volume of the solution is given as 1.05 L.

Step 3: Calculate the Volume Percent of Hexane

The volume percent of hexane is calculated using the formula:

\[ \text{Volume percent of hexane} = \left( \frac{\text{Volume of hexane}}{\text{Total volume of solution}} \right) \times 100\% \]

Substituting the known values:

\[ \text{Volume percent of hexane} = \left( \frac{0.462 \, \text{L}}{1.05 \, \text{L}} \right) \times 100\% = 44.00\% \]

Final Answer

The volume percent of hexane in the solution is \(\boxed{44.00\%}\).

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