1. Chemical Reaction Mathematicsg: Please provide complete correct detailed solu
ID: 885573 • Letter: 1
Question
1. Chemical Reaction Mathematicsg: Please provide complete correct detailed solution. Preferentially done by hand or on paper with graphs and calculation.
Problem 1: Equilibrium Conversion a) The liquid phase reaction A+B ut ith umisven oste C with equilibrium constant K-10 L/mol is carried out in a batch reactor. What are the equilibrium conversion and concentrations: i) if CAo CBO 2 mol/L? ii) if the reaction is instead 2A+B C with K-1(L/mol)2 and CA,-2 molL and CBO = 5 mol L? b) The reaction A 3C is carried out in a gas-phase, isothermal, isobaric flow reactor. The feed consists of pure A at 400 K and 10 atm, at which conditions K= 0.25 (molL) i) What are the equilibrium conversion and concentrations? ii) What if the above reaction i volume batch reactor? ii What if it is carried out in a constant pressure batch reactor where the reactor is carried out in a constant can expand or contract?Explanation / Answer
(a)
A + B <------> C
2 2 0 (INitial)
2-x 2-x x (Equilibrium)
(i) K = x / (2-x)^2
10 = x / (x^2-4x+4)
10x^2 - 40x + 40 - x = 0
10x^2 - 41x + 40 = 0
x = 1.6 M
[A] = [B] = 2-1.6 = 0.4 M , [C] = 0.4 M
2 A + B <-----> C
2 5 0
2 - 2x 5 - x x
K = x / [ (2-2x)^2 * (5-x) ]
10 = x / [ 2 - 2x)^2 * (5 - x) ]
This is a complex equation which can be solved to get the required value of x
[A] = 2 - 2x and [B] = 5 - x , [C] = x
(b)
A <--------> 3C
10 x
Kp = 0.25 * (RT)^(3-1)
Kp = 0.25 * (0.0821*400)^2
Kp = 269.62 atm
Kp = pC^3 / pA
pC^3 = 2696.2
pC = 13.92 atm
At constant volume reaction shifts the direction of reaction towards product i.e more of C is formed.
At constant pressure the values of concentrations will become constany
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