The steady state ODE and the initial ODE are given below. Please remove the steady state assumption and solve for an ODE with no steady state assumption. Information is given below: This reaction occurs with a rate constant k (units: 1min) and as you will see shortly, k depends on the temperature in the tank, meaning k=k(). Reactant A is added at the flow rate of the feed into the reactor (af) (units: m3min). The concentration of A in the feed flow is CAF (units: molm3). The volume of the reactor is Vr (units: m3). The products of the bioreactor are removed through a flow rate q (units: m3min) out of the reactor. The concentration of the reactant A in the tank is CA, and the concentration of the product B in the tank is CB (units: molm3). Residence time (t) for this reactor is equivalent to the volume of the reactor (Vr) divided by the feed flow rate (9f) (verify for yourself that the units reflect this relationship). T= Vr / af In this task we want to find an equation that describes the temperature (T) in the reactor at steady state. Using the information given above, write down and simplify the energy balance equation for the reactor to SHOW THAT at steady-state: Oops (T1 1-T) 0 = -kC,, + where, AH,:heat of reaction for the chemical reaction (unit: J/mol) p: density of the fluid in the tank (unit: kg/m) es: density of the fluid in the feed flow (assume equal to p)(unit: kg/m2) Cpy: (specific heat capacity times density)(unit : J/(Km?) T/: temperature in the feed flow (unit: K) T: temperature in the reactor (unit : K) (a = 0) Assumptions Steady state Rigid, constant volume vessel = U = H - PV Constant heat capacity f liquid: Cp(T; -T) Single phase Incompressible fluid/constant pressure The work done by the stirring shaft is negligible Assume a uniform system: H = M Solution for Task 2 - you can also write down your solution and insert a scan or VERY CLEAR photo Here write down the steps in your derivation and simplification of the energy balance equation. Please clearly indicate any assumptions you are making to simplify your equation Start with the full energy balance equation: CU + (U + MO + v)) = = Mali + MH +)* + 0 + W,-dV dt