Textbook Question
(a) Is the dissociation of fluorine molecules into atomic fluorine, F2(𝑔) ⇌ 2 F(𝑔), an exothermic or endothermic process?
Ch.15 - Chemical Equilibrium
Chapter 15, Problem 71
Both the forward reaction and the reverse reaction in the following equilibrium are believed to be elementary steps: CO(g) + Cl2(g) Δ COCl(g) + Cl(g). At 25 _x001F_C, the rate constants for the forward and reverse reactions are 1.4 * 10^-28 M^-1 s^-1 and 9.3 * 10^10 M^-1 s^-1, respectively. (a) What is the value for the equilibrium constant at 25 _x001F_C? (b) Are reactants or products more plentiful at equilibrium?
Verified step by step guidance1
Step 1: Understand the relationship between the rate constants and the equilibrium constant. The equilibrium constant (K) for a reaction is the ratio of the rate constant of the forward reaction (k_f) to the rate constant of the reverse reaction (k_r). This can be expressed as K = k_f / k_r.
Step 2: Identify the given rate constants. From the problem, the rate constant for the forward reaction (k_f) is 1.4 \times 10^{-28} \text{ M}^{-1} \text{s}^{-1}, and the rate constant for the reverse reaction (k_r) is 9.3 \times 10^{10} \text{ M}^{-1} \text{s}^{-1}.
Step 3: Substitute the given rate constants into the equilibrium constant expression. Use the formula K = k_f / k_r to find the equilibrium constant.
Step 4: Analyze the equilibrium constant value. If K > 1, products are more plentiful at equilibrium. If K < 1, reactants are more plentiful at equilibrium.
Step 5: Conclude based on the calculated equilibrium constant whether reactants or products are more plentiful at equilibrium.
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 calculated using the formula K = [products]/[reactants], where the concentrations are raised to the power of their coefficients in the balanced equation. 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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01:14
Equilibrium Constant K
Rate Constants (k)
Rate constants (k) are specific values that indicate the speed of a reaction under given conditions. For elementary reactions, the rate constant is directly related to the reaction's mechanism and temperature. In the context of equilibrium, the forward and reverse rate constants can be used to determine the equilibrium constant, as K = k_forward / k_reverse, highlighting the relationship between reaction rates and equilibrium position.
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01:14Equilibrium Constant K
Le Chatelier's Principle
Le Chatelier's Principle states that if a dynamic equilibrium is disturbed by changing the conditions, the system will adjust itself to counteract the change and restore a new equilibrium. This principle helps predict how changes in concentration, pressure, or temperature will affect the position of equilibrium, indicating whether reactants or products will be more plentiful based on the equilibrium constant and the initial concentrations.
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07:32Le Chatelier's Principle
Related Practice
Textbook Question
(b) If the temperature is raised by 100 K, does the equilibrium constant for this reaction increase or decrease?
Textbook Question
(c) If the temperature is raised by 100 K, does the forward rate constant kf increase by a larger or smaller amount than the reverse rate constant kr?
Textbook Question
When 2.00 mol of SO2Cl2 is placed in a 2.00-L flask at 303 K, 56% of the SO2Cl2 decomposes to SO2 and Cl2: SO2Cl2(g) ⇌ SO2(g) + Cl2(g) (a) Calculate Kc for this reaction at this temperature.
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Textbook Question
When 2.00 mol of SO2Cl2 is placed in a 2.00-L flask at 303 K, 56% of the SO2Cl2 decomposes to SO2 and Cl2: SO2Cl2(g) ⇌ SO2(g) + Cl2(g) (c) According to Le Châtelier's principle, would the percent of SO2Cl2 that decomposes increase, decrease or stay the same if the mixture were transferred to a 15.00-L vessel?
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