Answer:
To achieve the desired outcome, 8.55 mL of NaOH is necessary.
Explanation:
Considering that:
the weak acid has a mass of 0.4 g
and a molecular weight of 234 g/mol
so, the number of moles of the weak acid is calculated as 0.4 g/234 g/mol = 0.00171 mole
To convert half of the weak acid (WA) to conjugate base (CB), we must add NaOH.
Thus, [WA]=[CB] 0.00171/2 = 8.55×10⁻⁴ mole of NaOH required
Further, knowing that the concentration of NaOH is 0.10 M
the volume needed to achieve this result can be calculated as follows:

= 
= 8.55 mL of NaOH is necessary