Question

1 A batch reactor is a perfectly mixed vessel where a chemical reaction is carried out for a given time. Typically, there is no input or output flow and the process is time-dependent (see Figure 1). c(t) Figure 1 (a) Given a first order chemical reaction with rate R = -kc, where k is the reaction constant and c the concentration of a given reacting species and knowing the volume Vof the reactor, calculate the conversion Co c(t) n(t)= where co is the concentration at t = 0. (b) Q RAAH, calculate the evolution of the temperature with time T(t) in the reactor assuming adiabatic conditions and knowing the (constant) heat capacity cp and the density p of the fluid If the chemical reaction is exothermal and the heat generated is

this is 1 question with parts a and b, please explain while solving

Answer 1

dt Rate, a nke.de upon integration, we get - de = - – dekat de Lt) – eu co – –k (t- o). or la ce a-kt >> c= coerket Conversion = 7 Lt) = -ct . 1-CH El Ceket lo = 1 e lenkt Q : evolved!" I-S (b) 8-RaOn ; 2 = date of reaction incl Meat I mo (per unit volume) I per unit time) QV - Total date of heat production. flaid – Rate of meat absorption by reactor (2X) G dT(+) – Ata KC OMX s podre) - akcoon se kt. dt = KEAM (ext) guten »F«) = To + Con (1) (+) d+