Question

Star from the general mole balance derive the differential form of PFR design equation

Star from the general mole balance derive the differential form of PFR design equation

Science   Chemistry   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

The concentration changes along the length of the reactor A differential analysis needs to be carried out for finding the differential equation

Let FA= Moles of A/ unit time entering FA+dFA= moles of A leaving.

Let differential volume be dV

Steady state mass balance reads as

Input= output + Rate loss due to Chemical Reaction

FA =FA+dFA+(-rA)dV, dV is the differential volume

FA= FAO*(1-XA) where FAO= initial moles of A, XA= conversion

-dFA= (-rA)*dV

FAO*dXA= (-rA)*dV

dV= FAO*dXA/(-rA)

Integrating

V = FAO*dXA/(-rA)

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Consider the differential equation: y'' = y' + y a) derive the characteristic polynomial for the...
Consider the differential equation: y'' = y' + y a) derive the characteristic polynomial for the differential equation b) write the general form of the solution to the differential equation c) using the general solution, solve the initial value problem: y(0) = 0, y'(0) = 1 d) Using only the information provided in the description of the initial value problem, make an educated guess as to what the value of y''(0) is and explain how you made your guess
Derive the general form of the Gibbs equation and apply it to the following problem: 4...
Derive the general form of the Gibbs equation and apply it to the following problem: 4 mol of water is heated at constant pressure from 30°C to 40°C. Calculate the change in entropy when cp = 75.312 J °C-1 mol-1 .
Write down Divergence law in integral form: o Derive the differential form of Divergence law from...
Write down Divergence law in integral form: o Derive the differential form of Divergence law from the integral form by using a integral form
Derive the classic differential equation model the describes the position of a falling object as a...
Derive the classic differential equation model the describes the position of a falling object as a function of time, including a discussion of Newton's Second Law and momentum. Solve the differential equation analytically, providing an explanation of why the solution makes sense physically.
In this problem we consider an equation in differential form ???+???=0 The equation (6?^(1/?)+4?^3?^−3)??+(6?^2?^−2+4)??=0 in differential...
In this problem we consider an equation in differential form ???+???=0 The equation (6?^(1/?)+4?^3?^−3)??+(6?^2?^−2+4)??=0 in differential form ?˜??+?˜??=0 is not exact. Indeed, we have ?˜?−?˜?/M=______ is a function of ? alone. Namely we have μ(y)= Multiplying the original equation by the integrating factor we obtain a new equation ???+???=0 ?=____ ?=_____ Which is exact since ??=______ ??=_______ are equal. This problem is exact. Therefore an implicit general solution can be written in the form  ?(?,?)=?F where ?(?,?)=__________
Solve the Bernoulli differential equation. The Bernoulli equation is a well-known nonlinear equation of the form...
Solve the Bernoulli differential equation. The Bernoulli equation is a well-known nonlinear equation of the form y' + P(x)y = Q(x)yn that can be reduced to a linear form by a substitution. The general solution of a Bernoulli equation is y1 − ne∫(1 − n)P(x) dx = (1 − n)Q(x)e∫(1 − n)P(x) dx dx + C. (Enter your solution in the form F(x, y) = C or y = F(x, C) where C is a needed constant.) y' − 10y...
Solve the Bernoulli differential equation. The Bernoulli equation is a well-known nonlinear equation of the form...
Solve the Bernoulli differential equation. The Bernoulli equation is a well-known nonlinear equation of the form y' + P(x)y = Q(x)yn that can be reduced to a linear form by a substitution. The general solution of a Bernoulli equation is y1 − ne∫(1 − n)P(x) dx = (1 − n)Q(x)e∫(1 − n)P(x) dx dx + C. (Enter your solution in the form F(x, y) = C or y = F(x, C) where C is a needed constant.) y8y' − 5y9...
Verify that the given functions form a fundamental set of solutions of the differential equation on...
Verify that the given functions form a fundamental set of solutions of the differential equation on the indicated interval. Form the general solution. 1.) y'' − 4y = 0; cosh 2x, sinh 2x, (−∞,∞) 2.) y^(4) + y'' = 0; 1, x, cos x, sin x (−∞,∞)
Under what conditions does the general form of the heat conduction equation become a linear partial...
Under what conditions does the general form of the heat conduction equation become a linear partial differential?
If ?1 = ?−4? cos ? is a solution from the differential equation ?′′′ + 6?′′...
If ?1 = ?−4? cos ? is a solution from the differential equation ?′′′ + 6?′′ + ?′ − 34? = 0. ¿What is the general solution for the differential equation?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT