Answer
$V=425.6ml$
Work Step by Step
$n(Al^{3+})=n(AlCl_3)=\frac{m(AlCl_3)}{M(AlCl_3)}=\frac{0.025\frac{g}{ml}\times 50ml}{133.5\frac{g}{mol}}=9.36\times 10^{-3} mol$
Hence, the final volume of the solution should be:
$V=\frac{n}{c}=\frac{9.36\times 10^{-3} mol}{0.022\frac{mol}{dm^3}}=0.4256dm^3=425.6ml$