Answer
$0.602L$
Work Step by Step
We know that
$n_{gas}=\frac{P_{gas}V_{gas}}{RT}$
$\implies n_{gas}=\frac{0.95395atm\space mol.K(1.65L)}{(0.08206L.atm)(298.15K)}=0.064334mol$
Now $S_{gas}=k_HP_{gas}$
$S_{gas}=(0.112M/atm)(0.95395atm)=0.10684M$
We can find the required volume as
$V_{soln}=\frac{n_{gas}}{S_{gas}}$
$V_{soln}=\frac{0.064334mol}{0.10684mol/L}=0.602L$