Math Problem Statement

_____3. What is the concentration, in % (m/v) of a solution containing 15.0 g KCl in 600.0 mL solution? a. 5.00%. b. 2.00% c. 0.200% d. 2.50%

Solution

To solve this, we use the formula for % (m/v) concentration:

Concentration(%m/v)=mass of solute (g)volume of solution (mL)×100\text{Concentration} \, (\% \, \text{m/v}) = \frac{\text{mass of solute (g)}}{\text{volume of solution (mL)}} \times 100

Given:

  • Mass of solute (KCl\text{KCl}) = 15.0 g
  • Volume of solution = 600.0 mL

Substituting into the formula:

Concentration=15.0600.0×100\text{Concentration} = \frac{15.0}{600.0} \times 100

Concentration=2.50%\text{Concentration} = 2.50\%

Final Answer:

The concentration of the solution is 2.50%.
Correct choice: d. 2.50%.


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Related Questions:

  1. What is the formula to calculate molarity for solutions?
  2. How does % (m/v) concentration differ from molarity?
  3. If the solution volume was halved, how would the % (m/v) concentration change?
  4. What is the importance of % (m/v) concentration in real-world applications?
  5. How would you prepare a solution with a specific % (m/v) concentration?

Tip: Always ensure that the units of mass and volume match the formula requirements before substituting values!

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Math Problem Analysis

Mathematical Concepts

Concentration
Mass/Volume Percent Formula

Formulas

% (m/v) = (mass of solute (g) / volume of solution (mL)) × 100

Theorems

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Suitable Grade Level

Grades 9-10