What is the final volume when 20.00 mL of 3.00 M NaCl solution is diluted to a final concentration of 0.100 M?

• A. 300.00 mL
• B. 200.00 mL
• C. 600.00 mL
• D. 60.00 mL

Answer: (C)

Verified step by step guidance

1. Start by understanding the concept of dilution, which involves adding solvent to a solution to decrease its concentration. The number of moles of solute remains constant before and after dilution.
2. Use the dilution formula: \( C_1V_1 = C_2V_2 \), where \( C_1 \) and \( V_1 \) are the initial concentration and volume, and \( C_2 \) and \( V_2 \) are the final concentration and volume.
3. Identify the given values: \( C_1 = 3.00 \) M, \( V_1 = 20.00 \) mL, and \( C_2 = 0.100 \) M. You need to find \( V_2 \).
4. Rearrange the dilution formula to solve for \( V_2 \): \( V_2 = \frac{C_1V_1}{C_2} \).
5. Substitute the known values into the equation: \( V_2 = \frac{3.00 \times 20.00}{0.100} \). Calculate \( V_2 \) to find the final volume.