# Consider the reaction sequence A+B k2, D k-1 in which A reacts revers.docx

• No School
• AA 1
• 3

This preview shows page 1 - 3 out of 3 pages.

Subscribe to view the full document.

Consider the reaction sequence A+B k2, D k-1 in which A reacts reversibly with B via mass action to form C, which then reacts via mass action to form D. Let a = [A], b = [B],c = [C] and d = [D], and t be the time in seconds from the start of the reaction. Assume that only A and B are present initially, with concentrations ao M and bo M respectively. (a) Derive a system of ODEs describing the reaction. (b) Derive a conservation law relating a and b and another relating a, c and d. (c) Suppose from now on that do = bo. Derive a simplified set of ODEs for a and c. (d) Find the equilibria, if any, of the system. (e) Draw by hand a phase plane diagram for this system (with a on the horizontal axis). Include in your diagram the vertical and horizontal nullclines the equilibrium points, if any the flow field in each region of the plane a mathematical justification for the direction of
• Fall '19

### 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

Ask Expert Tutors You can ask 0 bonus questions You can ask 0 questions (0 expire soon) You can ask 0 questions (will expire )
Answers in as fast as 15 minutes