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Question

In a 250 mL solution, 5 g of solute is dissolved. What is the concentration (mass by volume %) of the solution?

The correct answer is
2%

Calculating Mass by Volume Percentage Concentration

This question requires calculating the concentration of a solution in terms of mass by volume percentage. We are given the mass of the solute and the total volume of the solution.

Given Information

  • Mass of solute = 5 g
  • Volume of solution = 250 mL

Formula for Mass by Volume Percentage

The mass by volume percentage concentration is calculated using the following formula:

\( \text{Concentration (mass by volume } \%) = \frac{\text{Mass of solute (g)}}{\text{Volume of solution (mL)}} \times 100 \)

Step-by-Step Calculation

  1. Substitute the values: Plug the given mass of solute and volume of solution into the formula.

    \( \text{Concentration} = \frac{5 \text{ g}}{250 \text{ mL}} \times 100 \)

  2. Simplify the fraction: Divide the mass of solute by the volume of the solution.

    \( \frac{5}{250} = \frac{1}{50} \)

  3. Calculate the percentage: Multiply the result by 100.

    \( \text{Concentration} = \frac{1}{50} \times 100 = 2 \)

Result

The calculated concentration is 2% (mass by volume).

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