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

question 3

Multiple Choice

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 = 0 , B₀ = 1, C₀ = 5, k₁ = 0.02 s ^-1, and k_-1 = 0.04 s ^-1, how much C is present after 15 seconds? [Note: c cannot be larger than C₀ plus the smaller of A₀ or B₀. Nor can it be smaller than 0.]

• A) 8.36
• B) 3.33
• C) 4.81
• D) 2.73

---

Definitions:

Population Slope

Refers to the slope of the line that best fits the data in a scatter plot representing the entire population, indicating the direction and strength of the relationship between two variables.

Big-Name Stars

Big-name stars refer to highly famous and popular actors, musicians, or other celebrities who are widely recognized and can significantly influence the success of projects they are associated with.

Gross Revenue

Gross Revenue is the total amount of money earned by a business before any deductions are made for expenses, taxes, or other costs.

Population Slope

In statistics, the true slope of the regression line that represents the relationship between variables for the entire population.