A slurry reactor is used to carry out a catalytic reaction. This reactor is a well-stirred tank with catalyst particles dispersed throughout. The rate of such reactions is usually zero order, that is, they do not depend upon the reactant as product concentrations. The reaction rate is, however, a function of the system temperature r = a + b (g mol/sec.cm). We have a steam-heated stirred tank in which an endothermic slurry reaction is being carried out. Develop an analytical solution to the temperature response of the tank when there is a step change in the steam temperature, Ts.