The elementary irreversible organic liquid-phase reaction: A+B→C is carried out adiabatically in a plug flow reactor. An equal molar feed in A and B enters at 27 °C, and the volumetric flow rate is 2 L/s, and CA0= 0.1 kmol/m³. Additional data: Heat of reaction=-6000 cal/mol A. Cp data: A B 15, C = 30 cal/mol.K. k = 0.01 L/mol.s at 300 K. E = 10000 cal/mol. a) Derive T as a function of X. b) Plot X vs V, and T vs V, using Polymath. c) Consider the reaction as reversible, with Kc = 10 m³/kmol at 450 K, calculate the equilibrium conversion using Polymath.