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Ch.15 - Chemical Equilibrium
McMurry - Chemistry 8th Edition
McMurry8th EditionChemistryISBN: 9781292336145Not the one you use?Change textbook
Chapter 15, Problem 140

In automobile catalytic converters, the air pollutant nitric oxide is converted to nitrogen and oxygen. Listed in the table are forward and reverse rate constants for the reac- tion 2 NO1g2 ∆ N21g2 + O21g2. Temperature (K) kf1M — 1 s-12 kr1M-1 s — 121400 0.29 1.1 * 10-61500 1.3 1.4 * 10-5Is the reaction endothermic or exothermic? Explain in terms of kinetics.

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Step 1: Understand the concept of endothermic and exothermic reactions. An endothermic reaction absorbs heat from the surroundings, while an exothermic reaction releases heat to the surroundings.
Step 2: Look at the rate constants for the forward and reverse reactions at different temperatures. If the rate constant for the forward reaction increases more rapidly with temperature than the reverse reaction, the reaction is endothermic. If the rate constant for the reverse reaction increases more rapidly with temperature than the forward reaction, the reaction is exothermic.
Step 3: Compare the rate constants for the forward and reverse reactions at 1400 K and 1500 K. The forward rate constant increases from 0.29 to 1.3, while the reverse rate constant increases from 1.1 * 10^-6 to 1.4 * 10^-5.
Step 4: Determine which rate constant increases more rapidly with temperature. In this case, the forward rate constant increases more rapidly than the reverse rate constant.
Step 5: Based on the comparison in step 4, we can conclude that the reaction is endothermic because the rate constant for the forward reaction increases more rapidly with temperature than the reverse reaction. This indicates that the reaction absorbs heat from the surroundings.

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Key Concepts

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

Reaction Kinetics

Reaction kinetics studies the rates of chemical reactions and the factors that affect these rates. It involves understanding how the concentration of reactants and products changes over time, and how temperature, catalysts, and other conditions influence these rates. In the context of the given question, the forward and reverse rate constants at different temperatures provide insight into the reaction dynamics.
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Equilibrium and Rate Constants

In a chemical reaction at equilibrium, the rate of the forward reaction equals the rate of the reverse reaction. The equilibrium constant (K) can be expressed in terms of the rate constants (kf and kr) for the forward and reverse reactions. By analyzing the temperature dependence of these rate constants, one can infer whether the reaction favors products or reactants, which is crucial for determining if the reaction is endothermic or exothermic.
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Endothermic vs. Exothermic Reactions

Endothermic reactions absorb heat from their surroundings, resulting in a decrease in temperature, while exothermic reactions release heat, increasing the temperature. The temperature dependence of the rate constants can indicate the nature of the reaction; if the forward rate constant increases significantly with temperature, it suggests that the reaction requires heat input, characteristic of an endothermic process.
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Related Practice
Textbook Question
Consider a general, single-step reaction of the type A + B ∆ C. Show that the equilibrium constant is equal to the ratio of the rate constants for the forward and reverse reactions, Kc = kf>kr.
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Textbook Question
Heavy water, symbolized D2O 1D = 2H2 finds use as a neutron moderator in nuclear reactors. In a mixture with ordinary water, exchange of isotopes occurs according to the following equation: H2O + D2O ∆ 2 HDO Kc = 3.86 at 298 K When 1.00 mol of H2O is combined with 1.00 mol of D2O, what are the equilibrium amounts of H2O, D2O, and HDO (in moles) at 298 K? Assume the density of the mixture is constant at 1.05 g>cm3.
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Textbook Question
Given the Arrhenius equation, k = Ae-Ea>RT, and the rela- tion between the equilibrium constant and the forward and reverse rate constants, Kc = kf>kr, explain why Kc for an exothermic reaction decreases with increasing temperature.
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Textbook Question
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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Textbook Question
Consider the reaction of chloromethane with OH- in aque- ous solution: CH Cl1aq2 + OH-1aq2 ∆kf CH OH1aq2 + Cl-1aq2 At 25 °C, the rate constant for the forward reaction is 6 * 10-6 M-1 s-1, and the equilibrium constant Kc is 1 * 1016. Calculate the rate constant for the reverse reac- tion at 25 °C.
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Textbook Question
Vinegar contains acetic acid, a weak acid that is partially dissociated in aqueous solution:CH3CO2H1aq2 ∆ H+ 1aq2 + CH3CO-1aq2 (b) What is the value of Kc if the extent of dissociation in1.0 M CH3CO2H is 0.42%?
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