( (a). A nonisothermal batch reactor can be described by the following system of ordinary differential equations (ODEs): dC dt -el-10/(1+273)) dT = 1000e(-10/(1+273)C - 10(T - 20) dt where, C is the concentration of the reactant in mol/L. T' is the temperature of the reactor in degree Celsius. Initially the reactor is at 15C and has a concentration of reactant Cof 1.0 mol/L. The nature of the reaction is fast, and therefore it is required to study the initial behaviour of the process. By applying Euler's method, find the concentration and temperature of the reactor at time 0.3 s, using A1 = 0.1. Work out and give your final answer to 4 decimal places. [10 marks]