The liquid-phase constant-density reaction (A + 2 B 3 C) is to be carried out in a jacketed batch reactor at 1 atm. Cold water is circulated through the jacket and the jacket-side temperature may be assumed to be constant at 20C. The overall heat transfer coefficient of 100 W/m2-K and heat transport area of 10 m2 may be assumed. At t=0,OAC = 1 mol/Li andOBC = 3 mols/Li, T = 60C. The reactor volume is 10,000 Li. The reaction is second order overall (1st order in each reacting species). The reaction rate constant is 0.02 Li/mol-min at 60C, with an activation energy of 140 kJ/mol. The reaction mixture density is 1.2 kg/Li and specific heat is 10 kJ/kg-K. The heat of reaction is -100 kJ/mol-A. You are to consider the final conversion of 90%. (a) Write down the material and energy balance equations that need to be solved (b) Substitute appropriate given numerical values provided, in order to reduce these equations into a form that only has x, T, and t in them as variables, with the rest as numerical values.