Lets continue Problem P16-11D. Where = 10 min and = 14 min 2 1. What would

Let’s continue Problem P16-11D. Where τ = 10 min and = 14 min²
1. What would be the conversion for a second-order reaction with kC_A0 = 0.1 min^–1 and C_A0 = 1 mol/dm³ using the segregation model?
2. What would be the conversion for a second-order reaction with kC_A0 = 0.1 min^–1 and C_A0 = 1 mol/dm³ using the maximum mixedness model?
3. If the reactor is modeled as tanks in series, how many tanks are needed to represent this reactor? What is the conversion for a first-order reaction with k = 0.1 min^–1 ?
4. If the reactor is modeled by a dispersion model, what are the Péclet numbers for an open system and for a closed system? What is the conversion for a first-order reaction with k = 0.1 min^–1 for each case?

5. Use the dispersion model to estimate the conversion for a second-order reaction with k = 0.1 dm³/mol·s and C_A0 = 1 mol/dm³.
6. It is suspected that the reactor might be behaving as shown in Figure P18-12D, with perhaps (?) V₁ = V₂. What is the “backflow” from the second to the first vessel, as a multiple of υ₀?

7. If the model above is correct, what would be the conversion for a second-order reaction with k = 0.1 dm3/mol=min if C_A0 = 1.0 mol/dm³?
8. Prepare a table comparing the conversion predicted by each of the models described above.

Problem P16-11D

The volumetric flow rate through a reactor is 10 dm³/min. A pulse test gave the following concentration measurements at the outlet:

a. Plot the external-age distribution E(t) as a function of time.
b. Plot the external-age cumulative distribution F(t) as a function of time.
c. What are the mean residence time tm and the variance, σ²?
d. What fraction of the material spends between 2 and 4 minutes in the reactor?
e. What fraction of the material spends longer than 6 minutes in the reactor?
f. What fraction of the material spends less than 3 minutes in the reactor?
g. Plot the normalized distributions E(Θ) and F(Θ) as a function of Θ.
h. What is the reactor volume?

Transcribed Image Text:

vo- V₁ 1 V₂