ProblemSet2

# ProblemSet2 - ChE 101 2012 Problem Set 2 Read Schmidt...

This preview shows pages 1–3. Sign up to view the full content.

ChE 101 2012 Problem Set 2 Read Schmidt, Sections 3.1-3.3 1. Consider the following reversible elementary reaction: A 2B The rate coefficient of the forward reaction is k f = 25 hr - 1 , and the rate coefficient of the reverse reaction is k b = 4 M - 1 hr - 1 . The aqueous phase reaction is carried out in a constant volume batch reactor. The reactor is initially charged with 1 mole of pure A and 1 mole of pure B at 1 atm. The reactor volume is 1 L. (a) Write the rates of reaction for A and B. (b) Write r A as a function of the conversion of A. (c) What is the equilibrium conversion of A? (d) Find the conversion of A as a function of time. (e) How long does it take for the system to reach 90% of the equilibrium conversion? 2. Consider the following gas phase reaction, which is performed in a constant volume batch reactor at 500 C at 30-60 MPa: A + 3 B 2 C The standard state thermodynamic data on this reaction are Δ H R, 298 = - 92 . 4 kJ/mol and Δ S R, 298 = - 199 J/(mol · K). ( Note: In reality, this reaction would proceed through a multi-step mechanism since reac- tions involving more than two species are very rare. For now though, just assume power-law kinetics. ). (a) Write the rates of reaction for A, B, and C. Use k f and k b for the forward and backward rate coefficients. (b) Write the rate of reaction of A as a function of conversion of A. Assume a stoichiometric mixture of A and B. (c) What is the equilibrium conversion of a stoichiometric mixture of A and B to C at 298 K at 1 atm? 1

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
(d) Assuming that Δ H is independent of temperature, what are K eq and the equilibrium conversion at 30 MPa and 500 C? (e) At what pressure (in MPa) will the equilibrium conversion be 75% at 500 C? (f) What is the relationship between k f and k b at the pressure you found in part (d)?
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern