Answer
$V_2=45.9mL$
Work Step by Step
The final volume can be determined as follows:
According to Boyle's law
$P_1V_1=P_2V_2$
This can be rearranged as
$V_2=\frac{P_1V_1}{P_2}$
We plug in the known values to obtain:
$V_2=\frac{0.970\times 25.6}{0.541}$
This simplifies to:
$V_2=45.9mL$