For the following reaction at gas phase

$2$NOCl $2$NO $+$ Cl$2$

$90\%$ pure Nitrosyl Chloride with initial molar concentration $0\mathrm{.}25$ mol$/$dm$3$

is fed in the

reactant. The concentration equilibrium constant Kc is $0\mathrm{.}29$dm$3$

$/$mol$.$s$.$ Determine the PFR

volume necessary to achieve $90\%$ of the equilibrium constant.