Problem 4. Lab experiment - Adiabatic Batch Reactor (Total: 30 Marks) In the lab experiment, you performed the reaction of sodium thiosulphate with hydrogen peroxide in a batch reactor. 2 Na2S2O3

+ 4H2O2 → Na2S306+ Na2SO4 + 4H₂O You mixed different volumes of solutions of 1 M Na2S2O3 and 1 M H2O2 keeping the total volme of reaction mixture at 120 ml, and you obtained the temperature profile of the reaction mixture with time as the reaction progressed. Using values of heat of reaction, preexponential factor and activation energy from [1], assuming the reaction rate law is first order with respect to sodium thiosulphate and first order with hydrogen peroxide and making any other suitable assumptions simulate the temperature profiles that you obtained in 3 different experiments (mixing ratio 1, 2 and 3). More specifically: a) Show the relevant mass and energy balances that describe this system. [9] b) Plot the simulated and the experimental profiles of temperature vs time (for mixing ratio 1, 2 and 3). [9] c) Perform a sensitivity analysis, i.e., (manually) adjust the values of heat or reaction, preexponential factor and activation energy. Your goal here is to maximise the agreement between the simulations and one of experiments above (i.e., mixing ratio 1, or 2 or 3). Show the plot of the simulated and the experimental profiles of temperature vs time with the best agreement (i.e., for the optimised values of the above parameters) for your chosen experiment. Discuss your results. d) State clearly and justify the main assumptions you have made. [9] [3]