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1B Pure butanol is to be fed into a semibatch reactor containing pure ethyl acetate to produce butyl acetate and ethanol. The reaction CH3COOC2H5+C4H9OHCH3COOC4H9+C2H5OH is elementary and reversible. The reaction is carried out isothermally at 300K. At this temperature, the equilibrium constant is 1.08 and the specific reaction rate is 9105dm3/mols. Initially, there is 200dm3 of ethyl acetate in the vat, and butanol is fed at a volumetric rate of 0.05dm3/s. The feed and initial concentrations of butanol and ethyl acetate are 10.93mol/dm3 and 7.72mol/dm3, respectively. (a) Plot and analyze the equilibrium conversion of ethyl acetate as a function of time. (b) Plot and analyze the conversion of ethyl acetate, the rate of reaction, and the concentration of butanol as a function of time. (c) Rework part (b), assuming that ethanol evaporates (reactive distillation) as soon as it forms. (d) Use Polymath or some other ODE solver to learn the sensitivity of conversion to various combinations of parameters (e.g., vary FB0,NA0,v0 )