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+
+clc
+//initialization of variables
+F = 5 //kg feed
+S = 2 // kg solvent
+E = F-S // kg extract
+W = 1 // kg waste
+EG = 80 // ppm
+y0 = (100-99)/100 // mole fraction of gold left
+y1 = y0*EG*W/S // concentration in raffinate
+//Calculations
+xN = (EG*W - y1*S)/E // solvent concentration
+xNminus1 = ((xN*(E+S)) - EG*W)/F//feed stage balance
+N = 1 + ((log((xN-xNminus1)/(y1))/log(F/S)))//numner of stages including feed stage
+//Results
+printf("The number of stages including feed stage is %.f",N)