Pure butanol is to be fed into a semibatch reactor containing pure ethyl acetate to produce butyl acetate and ethanol. The reaction
CH_3COOC_2H_5 + C_4H_9OH <> CH_3COOC_4H_9 + C_2H_5OH
is elementary and reversible. The reaction is carried out isothermally at 300 K. At this the equilibrium constant is 1.08 and the specific reaction rate is 9 x 10^-5 dm^3/mol*s. Initially, there is 200 dm^3 of ethyl acetate in the vat, and butanol is fed at a volumetric rate of 0.05 dm^3/ s. The feed and initial concentrations of butanol and ethyl acetate are 10.93 mol/dm^3 and .72 molu/dm^3, 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.