Prompt Description

Please generate a McCabe-Thiele diagram based on the following data obtained using the plate-by-plate method: Stage 1: y1=0.965, x1=0.861; Stage 2: y2=0.9089, x2=0.6915; Stage 3: y3=0.8177, x3=0.502; Stage 4: y4=0.7158, x4=0.3614; Stage 5: y5=0.6401, x5=0.2855; Stage 6: y6=0.5063, x6=0.1873; Stage 7: y7=0.3306, x7=0.0999; Stage 8: y8=0.1742, x8=0.0453; Stage 9: y9=0.0765, x9=0.0183; Stage 10: y10=0.0282, x10=0.0065; Stage 11: y11=0.0071, x11=0.0016. At the 5th stage, x=0.2855 < x=0.3599. The total number of theoretical plates is 11, with the feed plate at the 5th stage. The number of theoretical plates in the rectifying section is 4, and in the stripping section is 6. The operating line equation for the rectifying section is: yn+1 = (R/(R+1))*xn + xD/(R+1) = 0.538xn + 0.4457. The operating line equation for the stripping section is: ym+1 = (L'*xm)/(L'-W) - (W*xW)/(L'-W) = 1.789xm - 0.0045. The vapor-liquid equilibrium relationship is: x = y/(4.45 - 3.45y). Please adjust the graph with a 1:1 aspect ratio for the x and y axes, with a maximum value of 1 for both axes. Based on the above data, generate a McCabe-Thiele diagram for the methanol-water system to determine the number of theoretical plates.