To prepare a 0.750 M solution, how many liters of water are required to dissolve 2.5 moles of MgSO_4?

• A. 3.33 L
• B. 0.750 L
• C. 0.300 L
• D. 1.88 L

Answer: (A)

Verified step by step guidance

1. Recall the definition of molarity (M), which is the number of moles of solute divided by the volume of solution in liters: \(M = \frac{\text{moles of solute}}{\text{volume of solution (L)}}\).
2. Identify the given values: moles of MgSO_4 = 2.5 moles, and desired molarity M = 0.750 M.
3. Rearrange the molarity formula to solve for the volume of solution: \(\text{volume (L)} = \frac{\text{moles of solute}}{M}\).
4. Substitute the known values into the equation: \(\text{volume (L)} = \frac{2.5}{0.750}\).
5. Calculate the volume to find how many liters of water are needed to dissolve 2.5 moles of MgSO_4 to make a 0.750 M solution.