How many milliliters of 2.00 M H_2SO_4 solution are required to obtain 0.250 mole of H_2SO_4?

• A. 250 mL
• B. 500 mL
• C. 62.5 mL
• D. 125 mL

Answer: (D)

Verified step by step guidance

1. Identify the known values: the molarity of the H_2SO_4 solution (M) is 2.00 M, and the amount of substance (moles) needed is 0.250 mole.
2. Recall the definition of molarity: it is the number of moles of solute per liter of solution, expressed as \(M = \frac{\text{moles of solute}}{\text{liters of solution}}\).
3. Rearrange the molarity formula to solve for the volume of solution needed: \(V = \frac{\text{moles of solute}}{M}\).
4. Substitute the known values into the equation: \(V = \frac{0.250\ \text{moles}}{2.00\ M}\), which will give the volume in liters.
5. Convert the volume from liters to milliliters by multiplying by 1000, since \$1\ \text{L} = 1000\ \text{mL}$.