$(30$ pt$)$ A liquid mixture involving ethanol and urea has a temperature of $285K$ and film thickness of $2mm.$ This mixture is brought to contact with an organic liquid. After waiting for the system to reach equilibrium, the urea concentrations in both sides of the contact interface were measured. The equilibrium bulk concentration of urea in ethanol$-$urea mixture was recorded to be $3\%$ by weight. Moreover, the equilibrium bulk concentration of urea at the other side of the film was seen to be is $15\%$ by weight. After the contact of the phases, the density of the ethanol$-$urea mixture was found to be $961\mathrm{.}7k\frac{g}{m^3},$ whereas at the other side of the film the density of the urea$-$ethanol mixture was found to be $991\mathrm{.}7k\frac{g}{m^3}.$ It is known that ethanol and the organic liquid are not soluble in each other. Regarding the given information, what is the flux?