Questions: Just output the content of the question, DO NOT output additional information or explanations.

Just output the content of the question, DO NOT output additional information or explanations.
Transcript text: Just output the content of the question, DO NOT output additional information or explanations.
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Solution

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Solution Steps

Step 1: Find the moles of BaCl2 in the stock solution

Molarity is defined as moles of solute per liter of solution. We can use the given molarity and volume of the stock solution to calculate the moles of BaCl2:

Moles of BaCl2 = Molarity × Volume Moles of BaCl2 = (1.23 mol/L) × (30.0 mL) × (1 L / 1000 mL) Moles of BaCl2 = 0.0369 mol

Step 2: Calculate the molarity of the working solution

The moles of BaCl2 in the stock solution are the same as the moles in the diluted working solution. We can use these moles and the volume of the working solution to calculate the new molarity:

Molarity = Moles of BaCl2 / Volume of working solution Molarity = (0.0369 mol) / (470. mL) × (1000 mL/ 1L) Molarity = 0.0785 mol/L

Step 3: Round to 3 significant figures

The calculated molarity is 0.0785 M. Rounded to 3 significant figures, this becomes 0.0785 M.

Final Answer: 0.0785 M

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