A nonisothermal batch reactor can be described by the following equations
dC/dt = - e(- 10/T + 273))C
dT/dt = 1000e(- 10/T + 273))C – 10(T - 20)
where C is the concentration of the reactant and T in the temperature of the reactor. Initially the reactor is at 15°C and has a concentration of reactor C of 1.0 gmol/L. Find the concentration and temperature of the reactor as a function of time.