The data in Table Q1 are the result of a tracer test carried out in a 12cm diameter tubular reactor 6.50m in length. The reactor was used for a first order reaction AB and the specific reaction rate was 0.4min1. Useful equations for the dispersion and tank-in-series model are given in INFORMATION below. (a) Plot both the C(t) and E(t) curves for the data and comment on the shape of the curves for the reaction. [7 marks] (b) Calculate the mean residence time. [3 marks] (c) What is the mean variance for the reactor? [3 marks] (d) Calculate the conversion using both the closed vessel dispersion model and the tank-in-series model. Comment on your result. [7 marks] (e) Calculate the conversion assuming the reactor is operating ideally as a Plug Flow Reactor (PFR). Comment on your result and compare to results obtained in part d above. TABLE Q1 [5 marks] INFORMATION Expression for dispersion model in a closed vessel is: 22=Per2Per22(1cxpPe,) and the relationship between CA/CA0 and Pe, is: CAaCA=(1+a)2exp[2aPe,](1a)2exp[2aPer]4aexp[21Per]wherea=1+4k/Per For the tank-in-series model, the number of tanks n=22 The data in Table Q1 are the result of a tracer test carried out in a 12cm diameter tubular reactor 6.50m in length. The reactor was used for a first order reaction AB and the specific reaction rate was 0.4min1. Useful equations for the dispersion and tank-in-series model are given in INFORMATION below. (a) Plot both the C(t) and E(t) curves for the data and comment on the shape of the curves for the reaction. [7 marks] (b) Calculate the mean residence time. [3 marks] (c) What is the mean variance for the reactor? [3 marks] (d) Calculate the conversion using both the closed vessel dispersion model and the tank-in-series model. Comment on your result. [7 marks] (e) Calculate the conversion assuming the reactor is operating ideally as a Plug Flow Reactor (PFR). Comment on your result and compare to results obtained in part d above. TABLE Q1 [5 marks] INFORMATION Expression for dispersion model in a closed vessel is: 22=Per2Per22(1cxpPe,) and the relationship between CA/CA0 and Pe, is: CAaCA=(1+a)2exp[2aPe,](1a)2exp[2aPer]4aexp[21Per]wherea=1+4k/Per For the tank-in-series model, the number of tanks n=22