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:

Chromosomes Line Up

A phase in cell division where chromosomes align in the middle of the cell before being separated into daughter cells.

Mitosis

A process of cell division in eukaryotic cells that results in two genetically identical daughter cells from a single parent cell.

Plasma Membrane

The lipid bilayer that surrounds a cell, controlling the movement of substances in and out of the cell.

Storing Energy

The process of retaining energy produced in one form for future use, such as through chemical bonds, batteries, or other mediums.