consider an isothermal continuous stirred-tank blending system with volume V and constant cylindrical cross sectional area of Ac. The tank is perfectly mixed and has 2 input streams with volumetirc flowrates F1 and F2 and molar concentrations Ca1 and Ca2 respectively. The outlet flow Fout, in controlled with a valve and has a molar concentration of Ca. The liquid level in the tank is given by h and it can vary with time.

a. Derive the dynamic model for the blending system starting from the first principles, assuming the tank has constant density and a square root relation holds for flow through the vale Fout= Cv* (h)^.5

b. preform a degrees of freedom analysis and determine if the system is overspecified

c. Is the equation you obtained in part a differential, first or second order? Linear or non linear?