The following reaction is taking place in a batch reactor: A -> 0.5B + C -TA = kCA, where k = 10 exp(-5032.7/T) [s-] The reactor is operating adiabatically. Given the following information: 250kg of A are initially present (And nothing else) Cp of the mixture is 0.5 cal/(g K) and remains constant through the experiment, AHr = 15000 cal/(mol A reacted) To = 500K density = constant MWc = 50 g/mol MWB = 17 g/mol Derive an analytical expression for the temperature as a function of either conversion or the current number of moles of A