It has a compound We from a textile plant with a constant mass flow rate F(kg/h) and density (kg/m3). chemical reaction given as rA=kCA, where CA(kg/m3) is its concentration at any time. As this compound is toxic to the environment, engineers allow the effluent stream to pass through a holding tank of volume V(m3) before discharging it to the nature. The tank is equipped with an efficient stirrer that keeps the fluid in the tank at nearly uniform composition. At time t=0 the fluid begins to flow into the empty tank. No liquid flows out until the tank has been filled up to the volume V. Derive an expression for the concentration of the fluid in the tank CA as a function of time, during the tankfilling process (i.e. before it overflows). (Hint: xA0=CA0/ and xA=CA/ )