- #1
MichelV
- 4
- 1
Homework Statement
We have a second order reaction: A + B → C + D with -rA = k[A][ B]
[A]0 = [ B]0 = 300 mol / m3; τ = 11 minutes.
k = 4.0 × 10-4 m3 / (mol × minutes)
What is the conversion in a CSTR?
Homework Equations
I think:
τ = ([A]0 - [A]1) / -rA,1
τ = (XA × [A]0) / -rA,1
But since I don't know the conversion, I don't know the concentrations at the CSTR output. And because I don't have a volume or flow rate I don't know how to proceed.
The Attempt at a Solution
1 / [A] = 1 / [A]0 + kt
1 / [A] = 1 / 300 + 4.0×10-4×11
1 / [A] = 0.0077333
[A] = [ B] = 129.3 mol
-rA = 4.0 × 10-4 × 129.32
-rA = 6.688
Rearranging the second formula in the relevant equations for X gives:
XA = (-rA,1 × τ) / [A]0
XA = (6.688 × 11) / 300
XA = 0.25
But the answer should be 0.43 and I don't know how to get there.
Thanks in advance.