What volume of 6.0 M HNO3 is required to prepare 500 mL of a 0.50 M HNO3 solution?

• A. 500 mL
• B. 250 mL
• C. 83.3 mL
• D. 41.7 mL

Answer: (D)

Verified step by step guidance

1. Identify the known values: the concentration of the stock solution (C1) is 6.0 M, the desired concentration (C2) is 0.50 M, and the final volume (V2) is 500 mL.
2. Recall the dilution formula which relates the concentrations and volumes before and after dilution: \(C1 \times V1 = C2 \times V2\), where \(V1\) is the volume of the stock solution needed.
3. Rearrange the dilution formula to solve for \(V1\): \(V1 = \frac{C2 \times V2}{C1}\).
4. Substitute the known values into the equation: \(V1 = \frac{0.50 \times 500}{6.0}\).
5. Calculate \(V1\) to find the volume of 6.0 M HNO3 required to prepare 500 mL of 0.50 M HNO3 solution.