Consider a continuous stirred tank reactor (CSTR) with a reaction A B. The reaction follows first-order kinetics and is exothermic. The rate constant for the reaction is 0.1 min^-1 and the heat of reaction is -50 kJ/mol. The feed stream to the reactor contains pure A at a concentration of 2 mol/L and a flow rate of 5 L/min. The reactor volume is 10 L, and the reactor is operated at steady-state. Assuming constant density and heat capacity, calculate the following:

a) The steady-state concentration of species B in the reactor. b) The steady-state temperature of the reactor. c) The cooling water flow rate required to maintain the reactor temperature at 25C, assuming the cooling water enters the reactor at 10C and leaves at 20C. The heat transfer coefficient between the reactor and cooling water is 500 W/(m^2C).