Question

What is the percent by volume of isopropyl alcohol in a solution that contains 24 mL of isopropyl alcohol in 1.1 L of water?

Short answer

The percent by volume of isopropyl alcohol in the solution is approximately \(2.14\%\).

Step-by-step solution

Convert the volume of water to milliliters.

To convert liters to milliliters, we can use the conversion factor that 1 L = 1,000 mL. So, we have: 1.1 L * 1,000 mL/L = 1,100 mL Now, we have the volume of water in milliliters.

Calculate the total volume of the solution.

To find the total volume of the solution, we will add the volume of isopropyl alcohol and the volume of water: Total volume = volume of isopropyl alcohol + volume of water Total volume = 24 mL + 1,100 mL = 1,124 mL Now we have the total volume of the solution in milliliters.

Determine the percent by volume of isopropyl alcohol.

Using the formula for percent by volume, we can calculate the percent by volume of isopropyl alcohol in the solution: Percent by volume = (volume of solute / total volume of solution) * 100% Percent by volume = (24 mL / 1,124 mL) * 100% Percent by volume ≈ 2.14% Therefore, the percent by volume of isopropyl alcohol in the solution is approximately 2.14%.

Key concepts

Solution Concentration

Understanding solution concentration is crucial when preparing mixtures in the laboratory or dealing with everyday substances such as medical solutions. Concentration indicates how much of a substance, known as the solute, is contained within a specific amount of solvent, which is the substance it is dissolved in.

The concentration can be expressed in various ways, including percent by volume, which is often used for liquid solutions. The percent by volume formula is: \[\begin{equation} \text{Percent by volume} = \left(\frac{\text{volume of solute}}{\text{total volume of solution}}\right) \times 100\% \end{equation}\]This formula tells us the volume of solute in every 100 parts of the solution, providing a straightforward way to understand the strength or potency of the solution.

Volume Conversion

When preparing solutions, the units of volume measurement sometimes need to be converted for consistency and accuracy. Volume conversion is a key step when solving problems involving solutions that describe volumes in different units, such as liters (L) and milliliters (mL).

The most common conversions are between the units of liters and milliliters, knowing that one liter equals 1,000 milliliters (\[\begin{equation}1 \text{ L} = 1,000 \text{ mL}\end{equation}\]). This knowledge is vital, as discrepancies in volume units can lead to errors in concentration calculations, affecting the outcome of experiments and applications.

Chemical Solution Preparation

The process of chemical solution preparation involves precise steps to ensure that the resultant mixture meets the required concentration. This often includes measuring the volume of both the solvent and solute accurately, mixing them properly, and confirming the final volume of the solution.

To prepare a chemical solution accurately, one should follow these basic steps:

• Measure the appropriate volume of solute (using, for instance, a graduated cylinder or pipette).
• Measure the amount of solvent required.
• Mix the solute and solvent thoroughly to ensure a uniform distribution of the solute.
• Confirm that the resulting solution has reached the desired final volume, and make adjustments if necessary.

Careful preparation of chemical solutions ensures consistent results in both laboratory experiments and real-world applications.