Calculate % (m/v) of a solution containing 8.92 g of KCl in 455 mL of solutionGroup of answer choices4.46 %4.55 %1.96 %8.92 %

1. Break Down the Problem

To find the mass/volume percentage (% (m/v)) of a solution, use the formula:

$\% (m/v) = \left( \frac{\text{mass of solute (g)}}{\text{volume of solution (mL)}} \right) \times 100$

Where:

• Mass of solute = 8.92 g (KCl)
• Volume of solution = 455 mL

2. Relevant Concepts

We'll employ the formula stated above for mass/volume percentage calculations to determine the final % (m/v) of the KCl solution.

3. Analysis and Detail

Now substituting the values into the formula:

$\% (m/v) = \left( \frac{8.92 \, \text{g}}{455 \, \text{mL}} \right) \times 100$

Calculating the fraction:

$\frac{8.92}{455} \approx 0.0196$

Now multiply by 100 to convert the fraction to a percentage:

$0.0196 \times 100 \approx 1.96 \%$

4. Verify and Summarize

The calculation was done step-by-step accurately. The value of % (m/v) for the given solution is indeed 1.96%.

Final Answer

The % (m/v) of the solution is 1.96%.