Engineers at facility #$1$ designed a $1\mathrm{.}6m^3$ ideal mixed flow reactor system so that the space time would be $37\mathrm{.}8$ mins for the homogeneous, constant density liquid reaction $A+B2C+$ D where $-r_A($with units of $mol{L}^{-1}mi{n}^{-1})$ equals $0\mathrm{.}25C_A^{0\mathrm{.}5}{C}_B^{0\mathrm{.}5}($i$.$e$.,$ the rate is first order overall, half order with respect to A and half order with respect to $B).$ The initial concentrations of A and $B$ are both $9\mathrm{.}00mol{L}^{-1}.$ Engineers at facility #$2$ wish to carry out the same reaction, but they only have a $0\mathrm{.}35m^3$ mixed flow reactor available to them. If the inlet volumetric flowrate changes so that the theoretical processing time in facility #$2$ is the same as in facility #$1,$ determine the conversion $($as a percent, rounded to one decimal place$)$ in the mixed flow reactor at facility #$2.$

NOTE: In working out this problem, you are encouraged to simplify equations first, and then plug in numbers only at the end. Remember to express your answer as a percent, i$.$e$.15\mathrm{.}3\%$ is input as $"15\mathrm{.}3",$ not as $"0\mathrm{.}153".$