3. A stage extraction process is depicted in figure below. In such systems, a stream containing a weight fraction Yin of a chemical enters from the left at a mass flow rate of Fs. Simultaneously, a solvent carrying a weight fraction Xin of the same chemical enters from the right at a flow rate of F. At each stage, equilibrium is assumed to be established between y, and x as x = Ky, where K is called the distribution coefficient. Flow = F, 2 n-1 Y: Y ya yout You y 1 Flow F1 -(***)* +3X -0. a) Show that a mass balance defining the system yields y... . b) Using the above equation obtain the linear algebraic system for a five-stage extractor and insert the following input parameters: F. = 400 kg/h, Yin = 0.1, F2 = 800 kg/h,Xin = 0, and K = 5. Note that the above equation must be modified to account for the inflow weight fractions when applied to the first and the last stages. Do not solve the system of equations