first, we have to get moles of Ba(OH)2 that reacts with HCl according to this equation:
Ba(OH)2(aq) + 2HCl (aq) → BaCl2(aq) + 2H2O(l)
when moles of Ba(OH)2 = molarity * volume
= 0.52 M * 0.0216 L
= 0.011232 moles
from the balanced equation we can see that the mole ratio between
HCl : Ba(OH)2 = 2:1
So moles of HCl = 2* moles of Ba(OH)2
= 2* 0.011232 moles
= 0.0225 moles
now, we can get the volume:
when volume = no of moles of HCl / molarity of HCl
= 0.0225 moles / 0.378 M
∴volume = 0.0595 L = 59.5 mL