The PFD in Figure 11.58 shows a process for the manufacture of \(\mathrm{X}\) and \(\mathrm{Y}\). The process feed is heated in furnace \(\mathrm{F}-100\) to \(800^{\circ} \mathrm{C}\) and is then fed to an adiabatic and isothermal PFR, R-100, where the reaction to \(\mathrm{X}\) and \(\mathrm{Y}\) occurs. The reactor effluents at \(800^{\circ} \mathrm{C}\) are cooled to \(70^{\circ} \mathrm{C}\) in heat exchanger E-100 and then fed to distillation column \(\mathrm{T}-100\) where \(\mathrm{X}\) is obtained as distillate and \(\mathrm{Y}\) as bottoms. Figure 11.58 shows the stream temperatures as well as the heat duties of all proposed heat exchangers. Explain (in words) why this process must have a pinch.

Figure 11.58:-

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Feed 50PC F-1001 5 MW 800C R-100 800C E-100 ' ' 3.5 MW 70C T-100 E-101 (W) 2 MW 50C Product X E-103 180C 50C Product Y E-102 0.5 MW Figure 11.58 PFD for a process for the manufacture of X and Y. 2 MW