ELEM.PRINCIPLES OF CHEMICAL PROCESSES
ELEM.PRINCIPLES OF CHEMICAL PROCESSES
4th Edition
ISBN: 9781119571070
Author: FELDER
Publisher: WILEY
bartleby

Videos

Textbook Question
Book Icon
Chapter 9, Problem 9.42P

The equilibrium constant for the ethane dehydrogenation reaction,

   C 2 H 6 ( g ) C 2 H 4 ( g ) + H 2 ( g )

is defined as

   K p ( a t m ) = y C 2 H 1 y H 2 y C 2 H 6 P

where P(atm)is the total pressure and y1is the mole fraction of the ith substance in an equilibrium mixture. The equilibrium constant has been found experimentally to vary with temperature according to the formula

   K p ( T ) = 7.28 × 10 6 exp [ 17 , 000 / T ( K ) ] (1)

The heat of reaction at 1273 K is +145.6 kJ, and the heat capacities of the reactive species may be approximated by the formulas

   ( C p ) C 2 H 4 9.419 + 0.1147 T ( K ) ( C p ) H 2 = 26.90 + 4.167 × 10 3 T ( K ) ( C p ) C 2 H 6 = 11.35 + 0.1392 T ( K ) } [ J / m o l K ]

Suppose pure ethane is fed to a continuous constant-pressure adiabatic reactor at 1273 K and pressure P(atm), the products emerge at Tf(K)and P(atm), and the residence time of the reaction mixture in the reactor is large enough for the outlet stream to be considered an equilibrium mixture of ethane, ethylene, and hydrogen.

  1. Prove that the fractional conversion of ethane in the reactor is

   f = ( K p P + K P ) 1 / 2

(2)

  • Write an energy balance on the reactor, and use it to prove that
  •    f = 1 1 + ϕ ( T f )

    (3)

    where

       ϕ ( T f ) = Δ H f ( 1273 K ) T f 1273 K [ ( v C p ) C 2 H 4 + ( v C p ) H 2 ] d T T f 1273 K ( v C p ) C 2 H 6 d T

    (4)

    Finally, substitute for Δ H f and the heat capacities in Equation 4 to derive an explicit expression for ϕ ( T f ) .

    We now have two expressions for the fractional conversion f: Equation 2 and Equation 3. If these expressions are equated, Kpis replaced by the expression of equation 1 and ϕ ( T f )

    1. is replace by the expression derived in Part(b), the result is one equation in one unknown, Tf.Derive this equation, and transpose the right side to obtain an expression of the form
    2. ψ ( T f ) = 0

    (5)

    Prepare a spreadsheet to take P as input, solve equation 5 for Tf(use Goal Seek or Solver), and determine the final fractional conversion, f.(suggestion: Set up columns for P, Tf,f,Kp, ϕ ,and ψ .) Run the program for P(atm)=0.01, 0.05, 0.10, 0.50, 1.0, 5.0 and 10.0. Plot Tfversus P and f versus p, using a logarithmic coordinate scale for P.

    Blurred answer
    Students have asked these similar questions
    (11.35. For a binary gas mixture described by Eqs. (3.37) and (11.58), prove that: 4812 Pу132 ✓ GE = 812 Py1 y2. ✓ SE dT HE-12 T L = = (812 - 7 1/8/123) d² 812 Pylyz C=-T Pylyz dT dT² See also Eq. (11.84), and note that 812 = 2B12 B11 - B22. perimental values of HE for binary liquid mixtures of
    please provide me the solution with more details. because the previous solution is not clear
    please, provide me the solution with details.

    Chapter 9 Solutions

    ELEM.PRINCIPLES OF CHEMICAL PROCESSES

    Ch. 9 - Prob. 9.11PCh. 9 - Prob. 9.12PCh. 9 - In the production of many microelectronic devices,...Ch. 9 - Prob. 9.14PCh. 9 - Prob. 9.15PCh. 9 - Prob. 9.16PCh. 9 - Prob. 9.17PCh. 9 - Carbon monoxide at 25°C and steam at 150°C are fed...Ch. 9 - Prob. 9.19PCh. 9 - Prob. 9.20PCh. 9 - Ethyl alcohol (ethanol) can be produced by the...Ch. 9 - Prob. 9.22PCh. 9 - Prob. 9.23PCh. 9 - Prob. 9.24PCh. 9 - Formaldehyde is produced commercially by the...Ch. 9 - Prob. 9.26PCh. 9 - Prob. 9.27PCh. 9 - Prob. 9.28PCh. 9 - Prob. 9.29PCh. 9 - A gas mixture containing 85 mole% methane and the...Ch. 9 - Ethylene oxide is produced by the catalytic...Ch. 9 - Cumene (C6H5C3H7) is produced by reacting benzene...Ch. 9 - Ethylbenzene is converted to styrene in the...Ch. 9 - Prob. 9.34PCh. 9 - Prob. 9.35PCh. 9 - Prob. 9.36PCh. 9 - Prob. 9.37PCh. 9 - Coke can be converted into CO—a fuel gas—in the...Ch. 9 - Prob. 9.39PCh. 9 - Prob. 9.40PCh. 9 - Prob. 9.41PCh. 9 - The equilibrium constant for the ethane...Ch. 9 - You are checking the performance of a reactor in...Ch. 9 - Hydrogen is produced in the steam reforming of...Ch. 9 - Prob. 9.45PCh. 9 - Five cubic meters of a 1.00-molar aqueous sulfuric...Ch. 9 - Prob. 9.47PCh. 9 - Prob. 9.48PCh. 9 - Prob. 9.49PCh. 9 - Calcium chloride is a salt used in a number of...Ch. 9 - A dilute aqueous solution of sulfuric acid at 25°C...Ch. 9 - A 2.00 mole% sulfuric acid solution is neutralized...Ch. 9 - A 12.0-molar solution of sodium hydroxide (SG =...Ch. 9 - Citric acid (C6H8O7) is used in the preparation of...Ch. 9 - Ammonia scrubbing is one of many processes for...Ch. 9 - Various uses for nitric acid are given in Problem...Ch. 9 - A natural gas is analyzed and found to consist of...Ch. 9 - Prob. 9.58PCh. 9 - A fuel gas is known to contain methane, ethane,...Ch. 9 - A fuel gas containing 85.0 mole% methane and the...Ch. 9 - A mixture of air and a fine spray of gasoline at...Ch. 9 - The heating value of a fuel oil is to be measured...Ch. 9 - Methanol vapor is burned with excess air in a...Ch. 9 - Methane at 25°C is burned in a boiler furnace with...Ch. 9 - Methane is burned completely with 40% excess air....Ch. 9 - A gaseous fuel containing methane and ethane is...Ch. 9 - A coal contains 73.0 wt% C, 4.7% H (not including...Ch. 9 - A mixture of methane, ethane, and argon at 25°C is...Ch. 9 - Prob. 9.69PCh. 9 - Prob. 9.70PCh. 9 - Prob. 9.71PCh. 9 - A bituminous coal is burned with air in a boiler...Ch. 9 - Prob. 9.73PCh. 9 - A natural gas containing 82.0 mole% CH4and the...Ch. 9 - Prob. 9.75PCh. 9 - Liquid n-pentane at 25°C is burned with 30% excess...Ch. 9 - Methane is burned with 25% excess air in a...Ch. 9 - Methane and 30% excess air are to be fed to a...Ch. 9 - Prob. 9.79PCh. 9 - In Problem 9.79, the synthesis of methanol from...Ch. 9 - Natural gas that contains methane, ethane, and...Ch. 9 - Prob. 9.82PCh. 9 - The wastewater treatment plant at the Ossabaw...

    Additional Engineering Textbook Solutions

    Find more solutions based on key concepts
    What is a repetition structure?

    Starting Out with Programming Logic and Design (5th Edition) (What's New in Computer Science)

    A method in a subclass having the same name as a method in the superclass but a different signature is an examp...

    Starting Out with Java: From Control Structures through Data Structures (4th Edition) (What's New in Computer Science)

    What will the following code display? int funny = 7, serious = 15; funny = serious 2; switch (funny) { case 0 ...

    Starting Out with Java: From Control Structures through Objects (7th Edition) (What's New in Computer Science)

    Knowledge Booster
    Background pattern image
    Chemical Engineering
    Learn more about
    Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, chemical-engineering and related others by exploring similar questions and additional content below.
    Similar questions
    SEE MORE QUESTIONS
    Recommended textbooks for you
    Text book image
    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
    Text book image
    Elementary Principles of Chemical Processes, Bind...
    Chemical Engineering
    ISBN:9781118431221
    Author:Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
    Publisher:WILEY
    Text book image
    Elements of Chemical Reaction Engineering (5th Ed...
    Chemical Engineering
    ISBN:9780133887518
    Author:H. Scott Fogler
    Publisher:Prentice Hall
    Text book image
    Process Dynamics and Control, 4e
    Chemical Engineering
    ISBN:9781119285915
    Author:Seborg
    Publisher:WILEY
    Text book image
    Industrial Plastics: Theory and Applications
    Chemical Engineering
    ISBN:9781285061238
    Author:Lokensgard, Erik
    Publisher:Delmar Cengage Learning
    Text book image
    Unit Operations of Chemical Engineering
    Chemical Engineering
    ISBN:9780072848236
    Author:Warren McCabe, Julian C. Smith, Peter Harriott
    Publisher:McGraw-Hill Companies, The
    Mod-01 Lec-23 Degrees of freedom analysis; Author: nptelhrd;https://www.youtube.com/watch?v=c4h85JjrkzQ;License: Standard YouTube License, CC-BY
    Introduction to Degrees of Freedom; Author: LearnChemE;https://www.youtube.com/watch?v=tW1ft4y5fQY;License: Standard Youtube License