5- A first-order liquid-phase exothermic reaction A B is carried out in a batch reactor. There is no heat transfer through the reactor wall. The reaction mixture is to be held at a constant 40° C by the addition of an inert coolant at a temperature of 25° C. The flow rate of coolant varies with time so as to maintain the reactor temperature at 40° C. The following data are available: Heat capacity of all components Density of all components Heat of reaction Value of rate constant at 40°C Cp=2000 J/kg K (assume constant) 1000 kg/m³ AH-200,000 J/mol 1.0 x 104 s At time = 0, only compound A is present in the tank at a concentration of 8000 mol/m³. The initial volume is 1.5 m³. a. Calculate the conversion of A 2 h after the start of the reaction. b. Calculate the rate of coolant addition 2 h after the start of the reaction. c. Calculate the total amount of coolant added after 2 h.