A continuous stirred reactor tank is being operated. The volume of liquid in the tank is v. Food enters with volumetric flow rate Fi. The product leaves with flow rate F0 Concentration of reaction A in the feed is cai. The concentration of a in the exit stream is ca0. The density of the stream is pi and the density of thre product stream is p0. The tank is well mixed. The concentration of a in the tank is ca and the densityof the liquid is the tank is p. In the reactor, compound a undergoes reaction and is transformed into compound B. The volumetric rate of consumption of a by reaction is given by first order mc=k1ca. Using unsteady rate balances, derive differential equation for a)total mass b)mass of compond A