Final answer:
To neutralize 50.00 mL of 0.0875 M NaOH, you will need 38.04 mL of 0.115 M HClO4 solution.
Step-by-step explanation:
(a) To find the volume of HClO4 solution needed to neutralize 50.00 mL of NaOH, we use the balanced equation: NaOH + HClO4 → NaClO4 + H2O From the equation, we can see that the ratio of NaOH to HClO4 is 1:1. Therefore, the number of moles of NaOH is equal to the number of moles of HClO4 needed. We can calculate the number of moles of NaOH: moles of NaOH = volume of NaOH solution (in L) × concentration of NaOH (in M) = 0.050 L × 0.0875 M = 0.004375 moles of NaOH Since the ratio of NaOH to HClO4 is 1:1, we need 0.004375 moles of HClO4. We can now find the volume: volume of HClO4 solution = moles of HClO4 / concentration of HClO4 = 0.004375 moles / 0.115 M = 0.03804 L = 38.04 mL