What volume in mL of a 0.3000 M NaCl solution is required to provide 0.1500 moles of NaCl?

• A. 0.200 mL
• B. 45.0 mL
• C. 500 mL
• D. 2.00 L

Answer: (C)

Verified step by step guidance

1. Identify the known quantities: the concentration of the NaCl solution, \(C = 0.3000\ \text{M}\) (moles per liter), and the amount of substance needed, \(n = 0.1500\ \text{moles}\).
2. Recall the relationship between moles, concentration, and volume: \(n = C \times V\), where \(V\) is the volume in liters.
3. Rearrange the formula to solve for volume: \(V = \frac{n}{C}\).
4. Substitute the known values into the equation: \(V = \frac{0.1500}{0.3000}\) liters.
5. Convert the volume from liters to milliliters by multiplying by 1000: \(V_{\text{mL}} = V_{\text{L}} \times 1000\).