Math Problem Statement

If you have 300 mL of a 15% potassium chloride (KCI) solution, how many grams of KCI are present?

Solution

To determine how many grams of potassium chloride (KCl) are in 300 mL of a 15% KCl solution, follow these steps:

  1. Understand the percentage concentration: A 15% KCl solution means there are 15 grams of KCl in every 100 mL of solution.

  2. Set up a proportion to find the amount in 300 mL:

    15 grams100 mL=x grams in 300 mL\frac{15 \text{ grams}}{100 \text{ mL}} = x \text{ grams in 300 mL}

  3. Solve for xx:

    x=(15 grams100 mL)×300 mLx = \left( \frac{15 \text{ grams}}{100 \text{ mL}} \right) \times 300 \text{ mL}

  4. Calculate the result:

    x=45 gramsx = 45 \text{ grams}

So, there are 45 grams of KCl in 300 mL of a 15% KCl solution.

Would you like more details or have any questions about this calculation? Here are some related questions for further exploration:

  1. How many grams of KCl are in 500 mL of a 10% KCl solution?
  2. What volume of a 20% KCl solution contains 50 grams of KCl?
  3. How do you prepare 250 mL of a 5% KCl solution from a 25% KCl stock solution?
  4. What is the KCl concentration in a solution containing 30 grams of KCl in 150 mL?
  5. How would you dilute a 30% KCl solution to obtain 1000 mL of a 15% solution?
  6. If a solution has 60 grams of KCl in 400 mL, what is the percentage concentration?
  7. How many milliliters of a 15% KCl solution are needed to obtain 30 grams of KCl?
  8. What is the mass of KCl in 1 liter of a 12% KCl solution?

Tip: When working with solutions, always ensure that the units of measurement are consistent to avoid errors in calculations.

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Math Problem Analysis

Mathematical Concepts

Percentage Concentration
Proportion

Formulas

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Theorems

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Suitable Grade Level

Grades 7-9