A graduate student conducts a research project using a batch reactor which is a well$-$mixed, rectangular tank $($length $=50cm,$ width $=25cm,$ depth $=15\mathrm{.}0cm).$ Cyanide is being degraded using UV light according to second$-$order kinetics day $($:${?}^{-1}\}.$ If the concentration of cyanide in the tank is initially $50\mathrm{.}0m\frac{g}{L},$ how long will it take to degrade to a concentration of $0\mathrm{.}50m\frac{g}{L}$ the cyanide?