If 100 mL of a 2.0 M solution is diluted to make a 0.66 M solution, what will be the final total volume of the diluted solution?

• A. 303 mL
• B. 150 mL
• C. 200 mL
• D. 100 mL

Answer: (A)

Verified step by step guidance

1. Identify the known values: initial concentration \(C_1 = 2.0\,M\), initial volume \(V_1 = 100\,mL\), and final concentration \(C_2 = 0.66\,M\). The final volume \(V_2\) is what we need to find.
2. Recall the dilution equation which relates concentrations and volumes before and after dilution: \(C_1 \times V_1 = C_2 \times V_2\).
3. Rearrange the equation to solve for the final volume \(V_2\): \(V_2 = \frac{C_1 \times V_1}{C_2}\).
4. Substitute the known values into the equation: \(V_2 = \frac{2.0\,M \times 100\,mL}{0.66\,M}\).
5. Calculate the value of \(V_2\) to find the final total volume of the diluted solution.