Q19.
M(Ba(OH)2) = 171.23 g/mol
n(Ba(OH)2) = (17.1 g)/(171.23 g/mol) = 0.100 mol
c(Ba(OH)2) = 0.100 mol/0.100 L = 1.00 M
c1v1=c2v2
1.00 M * 0.00500 L = 0.04 M * v2
v2 = 0.125 L = 125 mL
As a sanity check, you can see that from 1.00 M to 0.04 M is 25x dilution. So the new volume is 5*25 mL = 125 mL.