Answer:
Step-by-step explanation:
Since, the acid is diprotic, you have that 1 mol of it releases 2 mol of hydrogen ions, H⁺.
Determine the number of moles of acid, using the molarity definition:
- M =n / V (in liter) ⇒ n = M×V = 0.100 M × 0.400 liter = 0.0400 mol
And the number of moles of H⁺ ions equals 2 × 0.0400 mol = 0.0800 mol
At the equivalence point of the titration the number of moles of H⁺ from the acid equals the number of moles of OH⁻ from the base.
Since, sodium hydroxide ionizes in a ratio 1 : 1 (1 mol of NaOH / 1 mol OH⁻), the number of moles of NaOH is equal to 0.0800 mol
And now you use the molarity definition for the 0.200 M sodium hydroxide solution:
- M = n / V (in liters) ⇒ V = n / M = 0.0800 mol / 0.200 M = 0.400 liter
That is the answer: 0.400 liter of 0.200 M sodium hydroxide.