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Ch.15 - Chemical Kinetics
Tro - Chemistry: A Molecular Approach 6th Edition
Tro6th EditionChemistry: A Molecular ApproachISBN: 9780137832217Not the one you use?Change textbook
All textbooksTro 6th EditionCh.15 - Chemical KineticsProblem 29b
Chapter 15, Problem 29b

For the reaction 2 A(gg) + B(g) → 3 C(g), b. when A is decreasing at a rate of 0.200 M/s, how fast is B decreasing? How fast is C increasing?

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Identify the stoichiometry of the reaction: 2 A(g) + B(g) → 3 C(g).
Use the rate of disappearance of A to find the rate of disappearance of B. Since the stoichiometry between A and B is 2:1, the rate of disappearance of B is half the rate of disappearance of A.
Calculate the rate of disappearance of B using the relationship: rate of disappearance of B = (1/2) * rate of disappearance of A.
Use the rate of disappearance of A to find the rate of appearance of C. Since the stoichiometry between A and C is 2:3, the rate of appearance of C is (3/2) times the rate of disappearance of A.
Calculate the rate of appearance of C using the relationship: rate of appearance of C = (3/2) * rate of disappearance of A.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Stoichiometry

Stoichiometry is the branch of chemistry that deals with the quantitative relationships between the reactants and products in a chemical reaction. It is based on the balanced chemical equation, which provides the mole ratios needed to relate the amounts of substances consumed and produced. In this case, the coefficients in the equation indicate how the rates of change of A, B, and C are related.
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Rate of Reaction

The rate of reaction refers to the speed at which reactants are converted into products in a chemical reaction. It can be expressed in terms of the change in concentration of a reactant or product over time. For the given reaction, understanding how the rate of decrease of A affects the rates of B and C is crucial for determining their respective changes in concentration.
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Concentration Change

Concentration change describes how the concentration of a substance in a reaction varies over time. In this context, it is important to relate the rate at which A is decreasing to the rates at which B is decreasing and C is increasing. Using the stoichiometric coefficients, one can calculate these rates based on the known rate of change of A.
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Related Practice
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Consider the reaction:

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