Question

PROBLEM 1 The elementary liquid phase irreversible reaction (A + B -> C) is to be carried out in a flow reactor. An equimolar feed with A and B enters the reactor at 300K at a volumetric flow rate of 2 L/s, and feed molar concentration of A equal to 0.1 kmol/m3 a. A. Calculate the conversion of A that can be achieved in one 500 Liter Mixed Flow Reactor under adiabatic conditions. b. Calculate the conversion of A that can be achieved in one 500 Liter Mixed Flow Reactor under isothermal conditions. Data for PROBLEM 1: 1. Standard heats of formation (Hº) at the reference temperature of 273 K for A, B, and Care (-20), (-15), and (-41) kcal/mol, respectively. 2. Heat capacities (Cp) for A, B, and Care 15, 15, and 30 cal/(mol.K), respectively. 3. Rate constant at 300K is 0.01 L/(mol.s). 4. The activation energy is 10,000 cal/mol.

Answer 1

Given - A + B - с -20 kcal/mol . 04;(A) = AH (8) Angic -15 komol -41 kcal/mol orti frean ) = AMIC) - [ on; (a) + ong (@s] = -41-1-20-15) or coxn) = -6 kcalmol (Q.) a7 rection is carried out Adabatically, P=0 Xa = E Oi Epi (T- Tio) - OHRIT) -AHR(T) = - [ DHA (TR) + 4 + Đế (T- TR] A p = E Cpc 8 CRB CPA 30-15-15 co SHQ (T) Il - oreltas - 6 kcoilmos CS$canned with CamScanner

2 Now, K = 0.01 lit/mo, see! K = A Exp [" - ka RT į ta = 10,000 con/mol XA - 60 (T-300K) 6000 / moi 97 we put value of Temp (T) je Temp. of reation. me got conversion (EA). (6.) For Ijo therman case, Design Eq? of mixed How reactor, XA - YA - KG² FAO -YA Or 500 lit. 740 = (2 eitt pee) ( 100 moi nolleit) FAO 200 mol/sec. CAO (1-4A) csscanned with CamScanner

NOW, 3 . 500 eit XA ll 200 mollis (0-01) (tool” (1-x)^ Or, XA (1-XA) 2 950, OY, 2 50 x 2 561 XA + 256 =0 XA = 93. 87 % So, for Isothermal reactor, XA = 93.87 y. i CSScanned with CamScanner