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Ch.9 Solutions
Chapter 9, Problem 45

A dilute aqueous solution of boric acid, H₃BO₃ is often used as an eyewash. How would you prepare 500.0 mL of a 0.50% (m/v) boric acid solution?

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Determine the mass of boric acid needed: Use the formula for mass/volume percent concentration, which is \( \text{\% (m/v)} = \frac{\text{mass of solute (g)}}{\text{volume of solution (mL)}} \times 100\).
Rearrange the formula to solve for the mass of boric acid: \( \text{mass of solute (g)} = \frac{\text{\% (m/v)} \times \text{volume of solution (mL)}}{100} \).
Substitute the given values into the equation: \( \text{mass of solute (g)} = \frac{0.50 \times 500.0}{100} \).
Calculate the mass of boric acid required using the substituted values.
Measure the calculated mass of boric acid and dissolve it in enough water to make a total volume of 500.0 mL.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Concentration (m/v)

Mass/volume (m/v) concentration expresses the mass of solute per 100 mL of solution. A 0.50% (m/v) solution means there are 0.50 grams of solute (boric acid) in every 100 mL of solution. This concept is crucial for understanding how to prepare solutions with specific concentrations.
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Dilution

Dilution is the process of reducing the concentration of a solute in a solution, typically by adding more solvent. In this case, to prepare a 0.50% (m/v) solution from a more concentrated stock solution, one must calculate the appropriate volume of stock solution and the amount of water needed to achieve the desired concentration.
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Volume Measurement

Accurate volume measurement is essential in preparing solutions. For this task, one must measure 500.0 mL of the final solution using appropriate lab equipment, such as a graduated cylinder or volumetric flask, to ensure the correct concentration of boric acid is achieved.
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