A gaseous feed of pure A $(1$ mol$/$liter$)$ enters a mixed flow reactor and reacts as follows:

$2A,--,R,-r_A=0\mathrm{.}05C_A^{2}mo\frac{l}{l}.s$

Suppose a feed rate of $46$ liter$/$min enters the reactor, what volume in liters will give an outlet concentration $C_A=0\mathrm{.}5mo\frac{l}{l}$iter.

Round your answer to $0$ decimal places.