Questions: States of Mritter Calculating volume percent composition 1 / 5 A 278. mL solution was made by mixing 50.5 mL of hexane, which has a density of 0.66 g / mL, and 236 . mL of chloroform, which has a density of 1.49 g / mL. Calculate the volume percent of hexane in this solution. Be sure your answer has the right number of significant digits. %(v / v)

States of Mritter
Calculating volume percent composition
1 / 5

A 278. mL solution was made by mixing 50.5 mL of hexane, which has a density of 0.66 g / mL, and 236 . mL of chloroform, which has a density of 1.49 g / mL. Calculate the volume percent of hexane in this solution.

Be sure your answer has the right number of significant digits.
%(v / v)
Transcript text: States of Mritter Calculating volume percent composition $1 / 5$ A 278. mL solution was made by mixing 50.5 mL of hexane, which has a density of $0.66 \mathrm{~g} / \mathrm{mL}$, and $236 . \mathrm{mL}$ of chloroform, which has a density of $1.49 \mathrm{~g} / \mathrm{mL}$. Calculate the volume percent of hexane in this solution. Be sure your answer has the right number of significant digits. $\%(v / v)$ $\square$ ${ }_{\times 10}^{\square}$
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Solution

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Solution Steps

Step 1: Calculate the Total Volume of the Solution

The total volume of the solution is the sum of the volumes of hexane and chloroform.

\[ V_{\text{total}} = V_{\text{hexane}} + V_{\text{chloroform}} \]

Given:

  • \( V_{\text{hexane}} = 50.5 \, \text{mL} \)
  • \( V_{\text{chloroform}} = 236 \, \text{mL} \)

\[ V_{\text{total}} = 50.5 \, \text{mL} + 236 \, \text{mL} = 286.5 \, \text{mL} \]

Step 2: Calculate the Volume Percent of Hexane

The volume percent of hexane is given by the formula:

\[ \text{Volume percent of hexane} = \left( \frac{V_{\text{hexane}}}{V_{\text{total}}} \right) \times 100\% \]

Substitute the values:

\[ \text{Volume percent of hexane} = \left( \frac{50.5 \, \text{mL}}{286.5 \, \text{mL}} \right) \times 100\% \]

Step 3: Perform the Calculation

Perform the division and multiplication:

\[ \text{Volume percent of hexane} = \left( \frac{50.5}{286.5} \right) \times 100\% \approx 17.63\% \]

Final Answer

\[ \boxed{17.63\%} \]

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