Consider a Chemical System Containing Species A, B, and C;

question 23

Essay

Consider a chemical system containing species A, B, and C; and that A and B can react to make C in a bimolecular reaction with rate constant of k₁, and C can decompose to make A and B in a first order reaction with rate constant of k_-1. If the instantaneous amounts of A, B, and C are represented as a, b, and c, and the initial amounts are given as A₀, B₀, and C₀, the change in C can be represented with the differential equation . If A₀ = 2 , B₀ = 2, C₀ = 0, k₁ = 0.04, and k_-1 = 0.04, solve the differential equation for c and graph the solution. [Note: c can never be larger than C₀ plus the smaller of A₀ or B₀. Nor can it be smaller than 0.]

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Definitions:

Flotation Costs

The costs associated with issuing new securities, including underwriting, legal, registration, and other expenses.

Securities

Investment assets that denote a shareholding in a publicly-listed company (stock), a bondholder’s claim against a corporation or government, or ownership rights as outlined in an option contract.

Project Costs

Project Costs include all expenses incurred during the execution of a project, including materials, labor, and overhead.

Subjective Approach

A method based on personal opinions, interpretations, points of view, emotions and judgment.