Question

1. Pure butanol (A) is fed to a semibatch reactor containing pure ethyl acetate (8) to produce butyl acetate (C) and ethanol (D). The liquid- phase reaction, A + B ㈠ C + D, is elementary and reversible and is carried out isothermally at 300 K. At this temperature, the equilibrium constant, Kc, is 1.08 and the specific reaction rate, k is 9 x 10 5 L mo s1.Initilly, there is 200 L of ethyl acetate in the reactor, and butanol s fed at a volumetric flow rate of o.os La.1. The feed of butanol s 1093 moj and the inital concentration of ethyl acetate is 7.72 mol L1. Answer the following questions assuming that the reaction takes place over 4.5 hours. a. Plot conversion of ethyl acetate (B) as a function of time. b. Plot concentration of butanol (A) as a function of time

Answer 1

"According to the given question. CH_3COOC_2H_5 + C_4H_9OH rlhar CH_3COOC_4H_9 + C_2H_5OH a + b C + D b Reactor/a for 'b' In-out + Generation - consumption then that is assumption = > F_B - O + V [K_B[C][D] - K_F[A][B]] = v dB/dt for (a) = > o - o + [K_B C_C C_D - K_F C_A C_B] v = v dc_A/dt At time t C_A = C_A C_B = F_B times t - (C_A_0 - (A) v/v C_C = C_A_0 - C_A C_0 = CA_0 - C_A = > Forall K_B (C_A_0 - C_A) ^2 - K_FC_A[F_B + -(C_A_0 - C_A) v]v/v = v dC_A/dt C_A = C_A_0(1 - x) (x- converstion) = > K_BC_A^2_1 times 2 - K_F C_A_0 (1 - x) F_B + K_FCA^2_B (1 - x) x = -CA_0 dx_A/dt \r\n X_A