A first$-$order gas phase reaction takes place in an ideal PFR:

A k

$->3$B

Pure A is fed to the reactor at $10$ L$/$s$.$ The rate constant is $0\mathrm{.}1$ sec$-1.$ The concentration

of A in the feed stream is $10$ M$.$ What is the volume of the PFR required to achieve a

final conversion of $60\%?$