A mixed flow reactor is being used to determine the kinetics of a reaction whose stoichiometry is $\mathrm{A} \rightarrow \mathrm{R}$. For this purpose various flow rates of an aqueous solution of $100 \mathrm{mmol}$ A/liter are fed to a 1 -liter reactor, and for each run the outlet concentration of $A$ is measured. Find a rate equation to represent the following data. Also assume that reactant alone affects the rate.
$$\begin{array}{c|ccc}
\nu, \text { liter/min } & 1 & 6 & 24 \\
\mathrm{C}_{\mathrm{A}}, \text { mmol/liter } & 4 & 20 & 50
\end{array}$$