What volume (in liters) of a 1.5 M KOH solution is required to obtain 3.0 moles of KOH?

• A. 0.5 L
• B. 1.0 L
• C. 4.5 L
• D. 2.0 L

Answer: (D)

Verified step by step guidance

1. Identify the known quantities: the molarity (M) of the KOH solution is 1.5 M, and the amount of KOH needed is 3.0 moles.
2. Recall the definition of molarity, which relates moles of solute to volume of solution: \(M = \frac{\text{moles of solute}}{\text{volume of solution in liters}}\).
3. Rearrange the molarity formula to solve for volume: \(\text{volume} = \frac{\text{moles of solute}}{M}\).
4. Substitute the known values into the equation: \(\text{volume} = \frac{3.0\ \text{moles}}{1.5\ M}\).
5. Calculate the volume (in liters) required to obtain 3.0 moles of KOH from the 1.5 M solution.