Consider the following steam heated continuous mixing tank. The tank consists of two parts, cylindrical in radius R(m) and conical in height hR(m)( Cone volume =R2hR/3) Substance A enters the tank at a concentration of CAO(mol/L), at a temperature of T0 (C), with a flow rate of q0(L/s), and at a flow rate of q=h(L/s), at a temperature of T(C) and a flow rate of CA(mol/L) concentration. The outlet flow rate is proportional to the square root of the height. The liquid level inside the tank is always greater than hR (i.e. the conical part is always filled). A second order 2AB endothermic reaction takes place in the tank (rA=kCA2). The required heat is provided by the steam at TS(C) temperature from the spiral heater passed outside the tank. Write the equations that describe the system