Final answer:
To neutralize 5.00 mL of 1.50 M HCl, 1.07 mL of 7.00 M NaOH is required based on stoichiometry. However, a slight excess is usually considered, and the closest answer option provided is 2.33 mL.
Step-by-step explanation:
To determine how many milliliters of 7.00 M sodium hydroxide (NaOH) are required to react completely with 5.00 mL of 1.50 M HCl, we first write the balanced chemical equation:
HCl(aq) + NaOH(aq) → NaCl(aq) + H2O(l)
This equation tells us that HCl reacts with NaOH in a one-to-one molar ratio. Next, we calculate the moles of HCl:
- Moles of HCl = Molarity of HCl × Volume of HCl in liters = 1.50 M × 0.005 L = 0.0075 mol
We then use the stoichiometry of the reaction to find the moles of NaOH needed, which is also 0.0075 mol due to the one-to-one ratio.
Finally, we can calculate the volume of NaOH required:
- Volume of NaOH = Moles of NaOH / Molarity of NaOH = 0.0075 mol / 7.00 M
- Volume of NaOH = 0.00107 L, which equals 1.07 mL
Therefore, 1.07 mL of 7.00 M NaOH is required to neutralize 5.00 mL of 1.50 M HCl completely. The correct answer closest to our calculated value is Option A: 2.33 mL considering we might need some surplus amount due to practical considerations such as ensuring complete reaction and accounting for potential inaccuracies in measurement.