Q$2.$ Consider a reactor with the result of a tracer test give below:

$C_T(t)=0\frac{g}{L},t10$min

$C_T(t)=-30+4t-0\mathrm{.}1t^2\frac{g}{L},10=20$min

The flowrate though the reactor for the test, and in normal operation, is $300\frac{L}{m}in.$ There is a

large excess of $B$ and the reaction is effectively half order in $A$ :

$A(aq)+B(aq)2C(aq)r_A=-k{C}_A^{0\mathrm{.}5}$ where $k=0\mathrm{.}25mo\frac{l^{0\mathrm{.}5}}{L^{0\mathrm{.}5}}*min$

b$)$ What is the volume of the reactor $($in L$)?$ Integrations to be completed step by step by hand $($i$.$e$.$ don$$t integrate numerically!$).$

I Know that i have to use the equation dN$\_$A$/$dt $=$ r$\_$A$*$V but i am unsure how to derive an equation for volume without using numerical values.