Math Problem Statement

Describe the preparation of 500mL M Cl solution from solid BaCl2.2H2O (244 g/mol)

Solution

To prepare 500 mL of a 1 M BaCl₂·2H₂O solution, you'll need to follow these steps:

Step 1: Calculate the required mass of BaCl₂·2H₂O

The formula for molarity (M) is:

Molarity (M)=moles of solutevolume of solution in liters\text{Molarity (M)} = \frac{\text{moles of solute}}{\text{volume of solution in liters}}

Given:

  • Desired Molarity (M) = 1 M
  • Volume of solution = 500 mL = 0.5 L
  • Molar mass of BaCl₂·2H₂O = 244 g/mol

First, calculate the moles of BaCl₂·2H₂O needed:

Moles of BaCl22H2O=1M×0.5L=0.5moles\text{Moles of BaCl}_2·2H_2O = 1 \, \text{M} \times 0.5 \, \text{L} = 0.5 \, \text{moles}

Now, calculate the mass of BaCl₂·2H₂O required:

Mass=moles×molar mass=0.5moles×244g/mol=122g\text{Mass} = \text{moles} \times \text{molar mass} = 0.5 \, \text{moles} \times 244 \, \text{g/mol} = 122 \, \text{g}

Step 2: Weigh the BaCl₂·2H₂O

Using a balance, carefully weigh out 122 grams of solid BaCl₂·2H₂O.

Step 3: Dissolve the BaCl₂·2H₂O in water

  1. Transfer the weighed BaCl₂·2H₂O to a 500 mL volumetric flask.
  2. Add distilled water to the flask gradually, swirling the flask to dissolve the BaCl₂·2H₂O completely.
  3. Continue adding water until the solution reaches the 500 mL mark on the flask.

Step 4: Mix the solution

Once the BaCl₂·2H₂O is completely dissolved and the solution is at the desired volume, cap the flask and invert it several times to ensure thorough mixing.

Step 5: Label the solution

Label the flask with the concentration of the solution (1 M BaCl₂·2H₂O) and the date of preparation.


Would you like to go over any specific step in more detail?

Here are five related questions:

  1. What is the purpose of using distilled water in solution preparation?
  2. How would you prepare a 0.1 M solution instead of a 1 M solution?
  3. What are the potential sources of error in this preparation process?
  4. How would you store the prepared solution to ensure its stability?
  5. Can you explain how to prepare a solution if only a smaller amount, such as 100 mL, is needed?

Tip: Always ensure that the solid is completely dissolved before making up to the final volume to avoid concentration errors.

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Math Problem Analysis

Mathematical Concepts

Molarity
Chemical Solutions

Formulas

Molarity formula: Molarity (M) = moles of solute / volume of solution in liters

Theorems

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Suitable Grade Level

Grades 10-12