ELEMENTS OF CHEM. REACTION ENGR
5th Edition
ISBN: 9780135486498
Author: Fogler
Publisher: INTER PEAR
expand_more
expand_more
format_list_bulleted
Question
Chapter 2, Problem 2.4P
(a)
Interpretation Introduction
Interpretation:
PFR and CSTR volumes necessary to achieve
Concept introduction:
A PFR is a type of continuous flow reactor which is operated under steady state. It is the system where flow field modeled by that of plug–flow profile which will have no radial variation in reaction rate.
A CSTR is a vessel to which reactants are added and products within the vessel are vigorously stirred using internal agitation or by internally recycling the contents.
In terms of conversion, the differential and integral forms of the reactor design equations become,
(b)
Interpretation Introduction
Interpretation:
The range of conversions would CSTR and PFR reactor volumes be identical has to be calculated.
(c)
Interpretation Introduction
Interpretation:
The maximum conversion achieved in
(d)
Interpretation Introduction
Interpretation:
Conversion achieved if a
(e)
Interpretation Introduction
Interpretation:
Conversion achieved if a
(f)
Interpretation Introduction
Interpretation:
The conversion and rate of reaction as a function of PFR reactor volume up to a volume of 100 dm3has to be plotted
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
heat and mass transfer
heat and mass transfer
A biodiesel mixture consisting of 60 mol% methyl oleate (MO), 25 mol% methyl linoleate (ML), and 15 mol% methyl palmitate (MP) is held at 373.15 K and 200 MPa. Given PC-SAFT parameters: segment number \( m_i = [5.7, 6.3, 4.8] \), segment diameter \( \sigma_i = [3.95, 3.98, 3.91] \) Å, dispersion energy \( \epsilon_i/k = [260, 270, 250] \) K, and binary interaction parameters \( k_{ij} = 0.01 \), determine the isentropic speed of sound (m/s) using the PC-SAFT Helmholtz energy formulation and the thermodynamic identity\[c^2 = \left( \frac{\partial P}{\partial \rho} \right)_T + \frac{T \left( \frac{\partial P}{\partial T} \right)_\rho^2 }{ \rho^2 c_v },\]assuming the density is precomputed at 200 MPa and \( c_v \) is obtained from ideal mixing of pure-component values.
Chapter 2 Solutions
ELEMENTS OF CHEM. REACTION ENGR
Knowledge Booster
Similar questions
- A steady Williamson nanofluid containing Cu nanoparticles flows over a permeable wedge with wall suction \( V_w = 0.015 \, \text{m/s} \), under a transverse magnetic field \( B_0 = 0.6 \, \text{T} \). The flow obeys the Buongiorno model, with \( D_B = 9 \times 10^{-10} \), \( D_T = 3.5 \times 10^{-8} \), and activation energy \( E_a = 65 \times 10^3 \). Hall and ion-slip effects are included with \( m_e = 0.4 \), \( \beta = 0.15 \). Thermal conductivity varies as \( k(T) = 0.6 (1 + 0.002 (T - 305)) \). Apply velocity and thermal jump conditions with \( \alpha_u = 0.9 \), \( \alpha_T = 0.8 \), \( \lambda = 2 \times 10^{-7} \). Using Keller’s method and similarity variables for wedge parameter \( m = 0.4 \), determine the entropy generation number \( N_s \) at \( x = 0.03 \), where \[N_s = \frac{k(T)}{T_\infty^2} \left( \frac{\partial T}{\partial y} \right)^2 + \frac{\mu}{T_\infty} \left( \frac{\partial u}{\partial y} \right)^2.\]arrow_forwardE. coli was continuously cultured in a continuous stirred tank fermenter with a working volume of 1 L by chemostat. A medium containing 4.0 g/L of glucose as a carbon source was fed to the fermenter at a constant flow rate of 0.5 L/hr, and the glucose concentration in the output stream was 0.20 g/L. The cell yield with respect to glucose was 0.42 g dry cells per gram glucose.arrow_forwardPlease do not use any AI tools to solve this question. I need a fully manual, step-by-step solution with clear explanations, as if it were done by a human tutor. No AI-generated responses, please.arrow_forward
- In the published paper, "Exergy-based Greenhouse gas metric of buildings", use the value of the Exergy Loss of Emission of carbon dioxide to evaluate the index value for 1000 occupants for 50 years building life span in kilogram per person per yeararrow_forwardA CO₂-saturated brine (ionic strength = 2.5 mol/kg, pH = 3, a_H⁺ = 0.01) flows at 2 cm/s through a horizontal tubular reactor (L = 1 m, D = 0.05 m) packed with 5 kg of olivine (Zhuravlev-BET surface area = 30 m²/g). The system operates at 90 °C and 40 bar, and external mass transfer resistance is negligible. The rate-limiting step is electron transfer at the mineral surface, governed by Marcus theory, with λ = 0.75 eV, ΔG° = –0.30 eV, and k₀ = 10⁶ s⁻¹. The Mg²⁺ activity coefficient is γ = 0.76 (from PHREEQC with Pitzer model). For Mg₂SiO₄ + 4 H⁺ → 2 Mg²⁺ + SiO₂(aq) + 2 H₂O, determine the total moles of Mg²⁺ released after 10 minutes at steady state.arrow_forwardIn baseball, batters frequently attempt to hit a ball as far as possible. However, baseballs are inelastic with an officially required "coefficient of restitution" CR ≈ 0.55 on ash wood. The coefficient of restitution of a dropped ball iswhere H is the initial drop height, h is the max. height on the rebound, and h ≈ 2πH tan δ for a homogeneous material. Assuming that a baseball is homogeneous and has a storage modulus approximately the same as that of cork (E' = 18.6 MPa), what must the value of the loss modulus E'' be so that the ball is regulation?arrow_forward
- The creep strain rate of a polymer (in “Hz”) is given by where T is the temperature and Q = 100. kJ/mol is the activation energy. How long t will it take for a rod of this polymer to extend from 10. mm to 15 mm at 100. °C?arrow_forwardCreep compliance J(t) An amorphous polymer has Tg = 100 °C. A creep modulus of 1/J = 1 GPa was measured after t₁ = 1 h at T₁ = 90 °C. Suppose that log 10 a (T) = 17.5(T-Tg) 52+(T-Tg) 1 for this material. What is the shift factor a at T = T₁ relative to the reference Tg? What is the time t₂ required to reach a modulus of 1 GPa at T2 = 80 °C? TR = T = 100 °C |J(t) = 1 GPa-1 + log a(T₁) T₁ = 75 °C T₂ = 50 °C log tr log t₁ log t log t₂ = ?arrow_forwardA 0.45 mol/kg aqueous solution of 3-(methylamino)propylamine and 1-methylpiperazine (1:1 molar) flows at 0.5 g/s through a 2.5 m horizontal stainless steel coil (inner diameter 1.2 mm), entering at 358.15 K and 22 MPa and exiting at 20 MPa. A constant wall heat flux of 28 W is applied. Local density and isobaric heat capacity are obtained through from the Benedict–Webb–Rubin equation of state, with a 3% increase in heat capacity to account for wall sorption. Dynamic viscosity is obtained using the Green-Kubo relation with a given integral value of 2.1 × 10⁻¹⁰ Pa².s, and thermal conductivity is assumed constant. The local Nusselt number is corrected for thermal development using Nu(x) = 3.66 + (0.065 · Gz(x)^0.7) / (1 + 0.04 · Gz(x)^0.7), where Gz(x) = D · Re(x) · Pr(x) / x. Through a spatially resolved numerical integration of the 1D steady-state energy equation and determine the outlet temperature (K).arrow_forward
- A pilot process is being planned to produce antibiotic P. Antibiotic P is a compound secreted by microorganism A during the stationary phase. To produce P, substrate S is required. The growth of microorganism A follows the Monod equation, with a maximum specific growth rate $\mu_m = 1 h^{-1}$ and a half-saturation constant $K_s = 700\ mg/L$.The pilot process uses a chemostat with a working volume of $1000\ L$. In this chemostat, the outflow is processed to separate microorganisms, which are then concentrated tenfold and recycled. A sterile medium containing $15\ g/L$ of substrate is supplied at a flow rate of $100\ L/h$, while the recycled flow (concentrated) contains $5\ g/L$ and is also fed into the chemostat.Microorganism A yields $0.5\ g$ of biomass per $1\ g$ of substrate consumed $(Y^M_{X/S} = 0.5\ g\ A/g\ S)$, and its death rate $(k_d)$ is negligible. Additionally, $1\ g$ of microorganism A produces $0.05\ g$ of antibiotic P per hour $(q_P = 0.05 g\ P/h\cdot g\ A)$, and $1\ g$…arrow_forwardIn the production of ethyl acetate via reactive distillation, the column operates at 5 bar with an equimolar feed (ethanol + acetic acid) at 80°C. The reaction follows: \[CH_3COOH + C_2H_5OH \rightleftharpoons CH_3COOC_2H_5 + H_2O \quad (K_{eq} = 4.2 \text{ at } 80°C)\] Given: - NRTL parameters for all binary pairs - Tray efficiency = 65% - Vapor-liquid equilibrium exhibits positive azeotrope formation Calculate the exact minimum reflux ratio required to achieve 98% ethyl acetate purity in the distillate, assuming: 1) The reaction reaches equilibrium on each tray 2) The heavy key component is waterarrow_forwardIn a multi-stage distillation column designed to separate a binary mixture of ethanol and water, the mass flow rate of the feed entering the column is \( F \), and the distillate product flow rate is \( D \). The reflux ratio \( R \) is defined as the ratio of the liquid returned to the column to the distillate flow rate. For the ideal case, where the column operates at maximum efficiency, determine the **minimum reflux ratio** \( R_{\text{min}} \) when the relative volatility \( \alpha = 1.5 \).arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Introduction to Chemical Engineering Thermodynami...Chemical EngineeringISBN:9781259696527Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark SwihartPublisher:McGraw-Hill Education
Elementary Principles of Chemical Processes, Bind...Chemical EngineeringISBN:9781118431221Author:Richard M. Felder, Ronald W. Rousseau, Lisa G. BullardPublisher:WILEY
Elements of Chemical Reaction Engineering (5th Ed...Chemical EngineeringISBN:9780133887518Author:H. Scott FoglerPublisher:Prentice Hall
Industrial Plastics: Theory and ApplicationsChemical EngineeringISBN:9781285061238Author:Lokensgard, ErikPublisher:Delmar Cengage Learning
Unit Operations of Chemical EngineeringChemical EngineeringISBN:9780072848236Author:Warren McCabe, Julian C. Smith, Peter HarriottPublisher:McGraw-Hill Companies, The
Introduction to Chemical Engineering Thermodynami...
Chemical Engineering
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:McGraw-Hill Education
Elementary Principles of Chemical Processes, Bind...
Chemical Engineering
ISBN:9781118431221
Author:Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:WILEY
Elements of Chemical Reaction Engineering (5th Ed...
Chemical Engineering
ISBN:9780133887518
Author:H. Scott Fogler
Publisher:Prentice Hall
Industrial Plastics: Theory and Applications
Chemical Engineering
ISBN:9781285061238
Author:Lokensgard, Erik
Publisher:Delmar Cengage Learning
Unit Operations of Chemical Engineering
Chemical Engineering
ISBN:9780072848236
Author:Warren McCabe, Julian C. Smith, Peter Harriott
Publisher:McGraw-Hill Companies, The