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Ch.15 - Chemical Equilibrium
Chapter 15, Problem 137

Which of the following relative values of kf and kr results in an equilibrium mixture that contains large amounts of reactants and small amounts of products? (a) kf 7 kr (b) kf = kr (c) kf 6 kr

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Identify the meaning of kf and kr: kf represents the forward reaction rate constant, and kr represents the reverse reaction rate constant.
Understand the relationship between kf, kr, and the position of equilibrium: If kf > kr, the reaction favors the formation of products. If kf < kr, the reaction favors the formation of reactants.
Analyze the given options to determine which scenario leads to a reaction favoring the formation of reactants: (a) kf > kr, (b) kf = kr, (c) kf < kr.
Compare the options to the desired condition of having large amounts of reactants and small amounts of products, which indicates that the equilibrium should lie towards the reactants.
Conclude that the correct option where kf < kr (option c) will result in an equilibrium mixture containing large amounts of reactants and small amounts of products.

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Key Concepts

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

Equilibrium Constant (K)

The equilibrium constant (K) is a numerical value that expresses the ratio of the concentrations of products to reactants at equilibrium for a given reaction at a specific temperature. It is defined as K = [products]^[coefficients] / [reactants]^[coefficients]. A large K value indicates that products are favored at equilibrium, while a small K value suggests that reactants are favored.
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Forward and Reverse Rate Constants (kf and kr)

The forward rate constant (kf) and the reverse rate constant (kr) are parameters that describe the speed of the forward and reverse reactions, respectively. The relationship between these constants determines the position of equilibrium. If kf is much smaller than kr, the reaction favors the formation of reactants, leading to a higher concentration of reactants at equilibrium.
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Rate Constant Units

Le Chatelier's Principle

Le Chatelier's Principle states that if a system at equilibrium is subjected to a change in concentration, temperature, or pressure, the system will adjust to counteract that change and restore a new equilibrium. This principle helps predict how changes in conditions will affect the concentrations of reactants and products, providing insight into the behavior of the equilibrium mixture.
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