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Chapter 12: Problem 208

A solution is prepared by combining \(4.00 \mathrm{~mL}\) of hexane with a sufficient volume of ethanol to obtain \(250.0 \mathrm{~mL}\) of solution. What is the percent by volume concentration of hexane?

Short Answer

Expert verified
The percent by volume concentration of hexane in the solution is calculated using the formula \(\%\,v/v = \dfrac{\text{Volume of solute (mL)}}{\text{Total volume of solution (mL)}} \times 100\). With the given values, initial volume of hexane \(4.00\,\text{mL}\) and total volume of the solution \(250.0\,\text{mL}\), we find that the percent by volume concentration of hexane is \(1.6\%\), meaning 1.6% of the solution's volume consists of hexane.

Step by step solution

01

Write the formula for calculating percent by volume concentration

Percentage by volume (\(\%\,v/v\)) is calculated using the formula: \[\%\,v/v = \dfrac{\text{Volume of solute (mL)}}{\text{Total volume of solution (mL)}} \times 100\] In this exercise, the solute is hexane.
02

Identify the values in the problem

We are given the following values in the problem: - Initial volume of hexane (solute): \(4.00\,\text{mL}\) - Total volume of the solution: \(250.0\,\text{mL}\)
03

Calculate the percent by volume concentration

Now, apply the formula in step 1 to find the percentage by volume concentration of hexane in the solution. \[ \%\,v/v = \dfrac{4.00\,\text{mL}}{250.0\,\text{mL}} \times 100\] Calculate the result: \[ \%\,v/v = (0.016) \times 100 = 1.6\%\]
04

Interpret the result

The percent by volume concentration of hexane in the solution is \(1.6\%\). This means that in the final 250.0 mL solution, 1.6% of its volume consists of hexane.

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