Math Problem Statement

hat is the molarity of a solution that contains 0.505 mol KCl (molar mass = 74.55 g/mol) in 7.98 L of solution?

Solution

To find the molarity (M) of a solution, you can use the formula:

M=moles of solutevolume of solution in litersM = \frac{\text{moles of solute}}{\text{volume of solution in liters}}

Given:

  • Moles of KCl = 0.505 mol
  • Volume of solution = 7.98 L

Now, applying the values to the formula:

M=0.505mol7.98L=0.0633MM = \frac{0.505 \, \text{mol}}{7.98 \, \text{L}} = 0.0633 \, \text{M}

So, the molarity of the solution is 0.0633 M.

Would you like further details or have any questions about this process?

Here are five related questions for further exploration:

  1. How does temperature affect the molarity of a solution?
  2. How do you prepare a solution with a specific molarity?
  3. What is the relationship between molarity and concentration?
  4. How does the concept of molality differ from molarity?
  5. How would you calculate the molarity of a diluted solution?

Tip: Always ensure that the volume used in molarity calculations is in liters (L), not milliliters (mL).

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Math Problem Analysis

Mathematical Concepts

Chemistry
Molarity Calculation

Formulas

Molarity (M) = Moles of solute / Volume of solution in liters

Theorems

Concentration calculations based on molarity

Suitable Grade Level

Grades 9-12