(c) Is the rate of disappearance of reactants always the same as the rate of appearance of products?

Name: Chemistry: The Central Science
Author: Brown
ISBN: 9780134414232

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Understand the concept of reaction rates: The rate of disappearance of reactants and the rate of appearance of products are related to the stoichiometry of the chemical reaction.

Consider a general chemical reaction: \( aA + bB \rightarrow cC + dD \). Here, \( a, b, c, \) and \( d \) are the stoichiometric coefficients.

Express the rate of disappearance of reactants: The rate of disappearance of reactant \( A \) can be expressed as \( -\frac{1}{a} \frac{d[A]}{dt} \), and for \( B \) as \( -\frac{1}{b} \frac{d[B]}{dt} \).

Express the rate of appearance of products: The rate of appearance of product \( C \) can be expressed as \( \frac{1}{c} \frac{d[C]}{dt} \), and for \( D \) as \( \frac{1}{d} \frac{d[D]}{dt} \).

Compare the rates: The rates of disappearance and appearance are related through the stoichiometric coefficients. They are not necessarily equal unless the stoichiometric coefficients are the same for reactants and products.

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Reaction Rates

Reaction rates refer to the speed at which reactants are converted into products in a chemical reaction. They can be expressed in terms of the change in concentration of reactants or products over time. Understanding reaction rates is crucial for analyzing how quickly a reaction proceeds and how it can be influenced by various factors such as temperature, concentration, and catalysts.

Stoichiometry

Stoichiometry is the study of the quantitative relationships between the amounts of reactants and products in a chemical reaction. It is based on the balanced chemical equation, which indicates the ratio in which substances react and are produced. This concept is essential for determining how the rates of disappearance of reactants and appearance of products relate to each other in a given reaction.

Conservation of Mass

The law of conservation of mass states that mass is neither created nor destroyed in a chemical reaction. This principle implies that the total mass of reactants must equal the total mass of products. Consequently, the rate of disappearance of reactants and the rate of appearance of products are related through their stoichiometric coefficients, ensuring that they are proportional in a balanced reaction.