How to Use This Presentation • To View the presentation as a slideshow with effects select “View” on the menu bar and click on “Slide Show.” • To advance through the presentation, click the right-arrow key or the space bar. • From the resources slide, click on any resource to see a presentation for that resource. • From the Chapter menu screen click on any lesson to go directly to that lesson’s presentation. • You may exit the slide show at any time by pressing the Esc key. Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Resources Chapter Presentation Bellringer Transparencies Sample Problems Visual Concepts Standardized Test Prep Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 14 Chemical Equilibrium Table of Contents Section 1 Reversible Reactions and Equilibrium Section 2 Systems at Equilibrium Section 3 Equilibrium Systems and Stress Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 14 Section 1 Reversible Reactions and Equilibrium Bellringer • Describe what reversible means. • Find a synonym for reversible. Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 14 Section 1 Reversible Reactions and Equilibrium Objectives • Contrast reactions that go to completion with reversible ones. • Describe chemical equilibrium. Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 14 Section 1 Reversible Reactions and Equilibrium Completion Reactions and Reversible Reactions • If enough oxygen gas is provided for the following reaction, almost all of the sulfur will react: S8(s) + 8O2(g) → 8SO2(g) • Reactions such as this one, in which almost all of the reactants react, are called completion reactions. • In other reactions, called reversible reactions, the products can re-form reactants. Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 14 Section 1 Reversible Reactions and Equilibrium Completion Reactions and Reversible Reactions, continued Reversible Reactions Reach Equilibrium • One reversible reaction occurs when you mix solutions of calcium chloride and sodium sulfate. CaCl2(aq) + Na2SO4(aq) → CaSO4(s) + 2NaCl(aq) • The net ionic equation best describes what happens. Ca2 (aq) SO24 (aq) CaSO4 (s) Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 14 Section 1 Reversible Reactions and Equilibrium Completion Reactions and Reversible Reactions, continued Reversible Reactions Reach Equilibrium, continued • Solid calcium sulfate, the product, can break down to make calcium ions and sulfate ions in a reaction that is the reverse of the previous one. CaSO4 (s) Ca2 (aq) SO24 (aq) • Use arrows that point in opposite directions when writing a chemical equation for a reversible reaction. Ca2 (aq ) SO2( aq ) CaSO 4 (s ) 4 Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 14 Section 1 Reversible Reactions and Equilibrium Completion Reactions and Reversible Reactions, continued Reversible Reactions Reach Equilibrium, continued • The reactions occur at the same rate after the initial mixing of CaCl2 and Na2SO4. • The amounts of the products and reactants do not change. • Chemical equilibrium is a state of balance in which the rate of a forward reaction equals the rate of the reverse reaction and the concentrations of products and reactants remain unchanged. Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 14 Section 1 Reversible Reactions and Equilibrium Completion Reactions and Reversible Reactions, continued Opposing Reaction Rates Are Equal at Equilibrium • The reaction of hydrogen, H2, and iodine, I2, to form hydrogen iodide, HI, reaches chemical equilibrium. 2HI(g ) H2 (g ) I2 (g ) • Only a very small fraction of the collisions between H2 and I2 result in the formation of HI. H2(g) + I2(g) → 2HI(g) Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 14 Section 1 Reversible Reactions and Equilibrium Completion Reactions and Reversible Reactions, continued Opposing Reaction Rates Are Equal at Equilibrium, continued • After some time, the concentration of HI goes up. • As a result, fewer collisions occur between H2 and I2 molecules, and the rate of the forward reaction drops. • Similarly, in the beginning, few HI molecules exist in the system, so they rarely collide with each other. Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 14 Section 1 Reversible Reactions and Equilibrium Completion Reactions and Reversible Reactions, continued Opposing Reaction Rates Are Equal at Equilibrium, continued • As more HI molecules are made, they collide more often and form H2 and I2 by the reverse reaction. 2HI(g) → H2(g) + I2(g) • The greater the number of HI molecules that form, the more often the reverse reaction occurs. Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 14 Section 1 Reversible Reactions and Equilibrium Rate Comparison for H2(g) + I2(g) 2HI(g) Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 14 Section 1 Reversible Reactions and Equilibrium Completion Reactions and Reversible Reactions, continued Opposing Reaction Rates Are Equal at Equilibrium, continued • When the forward rate and the reverse rate are equal, the system is at chemical equilibrium. • If you repeated this experiment at the same temperature, starting with a similar amount of pure HI instead of the H2 and I2, the reaction would reach chemical equilibrium again and produce the same concentrations of each substance. Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 14 Visual Concepts Chemical Equilibrium Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Reaching an equilibrium state. In most reversible reactions balance points exist between the forward and backward reactions. •Reactants and products appear together •The reaction appears to have stopped •Neither forward or backward reaction is complete •This is chemical equilibrium Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 14 Section 1 Reversible Reactions and Equilibrium Chemical Equilibria Are Dynamic • If you drop a ball into a bowl, it will bounce. • When the ball comes to a stop it has reached static equilibrium, a state in which nothing changes. • Chemical equilibrium is different from static equilibrium because it is dynamic. • In a dynamic equilibrium, there is no net change in the system. • Two opposite changes occur at the same time. Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 14 Section 1 Reversible Reactions and Equilibrium Chemical Equilibria Are Dynamic, continued • In equilibrium, an atom may change from being part of the products to part of the reactants many times. • But the overall concentrations of products and reactants stay the same. • For chemical equilibrium to be maintained, the rates of the forward and reverse reactions must be equal. • Arrows of equal length also show equilibrium. products reac tants Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Dynamic Equilibrium In dynamic equilibrium the forward and backwards reactions continue at equal rates so the overall effect does not change. On a molecular scale there is continuous change. On the macroscopic scale nothing appears to be happening. The system needs to be closed – isolated from the outside world. Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 14 Section 1 Reversible Reactions and Equilibrium Chemical Equilibria Are Dynamic, continued • In some cases, the equilibrium has a higher concentration of products than reactants. • This type of equilibrium is also shown by using two arrows. reac tants products • The forward reaction has a longer arrow to show that the products are favored. Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 14 Section 1 Reversible Reactions and Equilibrium More Examples of Equilibria • Even when systems are not in equilibrium, they are continuously changing in order to reach equilibrium. • For example, combustion produces carbon dioxide, CO2, and poisonous carbon monoxide, CO. After combustion, a reversible reaction produces soot. C(s ) CO2 (g ) 2CO(g ) • This reaction of gases and a solid will reach chemical equilibrium. • Equilibria can involve any state of matter, including aqueous solutions. Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 14 Section 1 Reversible Reactions and Equilibrium Homework 1. Read pgs.496-499 2. Solve Section Review pg.501, Qs. 1-4 Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Section Review, pg.501 1. Which of the following equations best represents a reaction that goes to completion? a. Reactants products b. reactants products c. Reactants products 2. At equilibrium, what is the relationship between the rates of the forward and reverse reactions? The rate of the reactions are equal. Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. 3. Explain what each reaction below shows. Describe the relationship between the amounts of products and reactants for each case. a. reactants products b. Reactants products a.The reaction is reversible and at equilibrium. The relative amounts of products and reactants cannot be determined. b. This reversible reaction is also at equilibrium; however, there are more products than reactants. 4. What is the difference between dynamic and static equilibria? During static equilibrium, nothing changes. During dynamic equilibrium, there are no net changes. Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 14 Section 2 Systems at Equilibrium Bellringer • Make a list of numbers that are “constants” under constant conditions. • An example is the speed of light. • What do these constants have in common? • Answer: Each constant is always the same number for a certain and constant set of conditions. Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 14 Section 2 Systems at Equilibrium Objectives • Write Keq expressions for reactions in equilibrium, and perform calculations with them. • Write Ksp expressions for the solubility of slightly soluble salts, and perform calculations with them. Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 14 Section 2 Systems at Equilibrium The Equilibrium Constant, Keq • Limestone caverns form as rainwater, slightly acidified by H3O+, dissolves calcium carbonate. • The reverse reaction also takes place, depositing calcium carbonate and forming stalactites and stalagmites. Ca2 (aq ) CO2 (g ) 3H2O(l ) CaCO3 (s ) 2H3O (aq ) • When the rates of the forward and reverse reactions become equal, the reaction reaches chemical equilibrium. Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 14 Section 2 Systems at Equilibrium The Equilibrium Constant, Keq, continued • There is a mathematical relationship between product and reactant concentrations at equilibrium. • For limestone reacting with acidified water at 25°C: [Ca2 ][CO2 ] -9 Keq 1.4 10 [H3O ]2 • Keq is the equilibrium constant of the reaction. • Keq for a reaction is unitless, applies only to systems in equilibrium, and depends on temperature and must be found experimentally or from tables. Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 14 Visual Concepts Equilibrium Constant The equilibrium constant always has the same value (provided you don't change the temperature), irrespective of the amounts of A, B, C and D you started with. Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 14 Section 2 Systems at Equilibrium The Equilibrium Constant, Keq, continued Determining Keq for Reactions at Chemical Equilibrium 1. Write a balanced chemical equation. • Make sure that the reaction is at equilibrium before you write a chemical equation. 2. Write an equilibrium expression. • To write the expression, place the product concentrations in the numerator and the reactant concentrations in the denominator. Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 14 Section 2 Systems at Equilibrium The Equilibrium Constant, Keq, continued Determining Keq for Reactions at Chemical Equilibrium, continued • The concentration of any solid or a pure liquid that takes part in the reaction is left out. • For a reaction occurring in aqueous solution, water is omitted. 3. Complete the equilibrium expression. • Finally, raise each substance’s concentration to the power equal to the substance’s coefficient in the balanced chemical equation. Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 14 Visual Concepts Equilibrium Constant Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 14 Section 2 Systems at Equilibrium Calculating Keq from Concentrations of Reactants and Products Sample Problem A An aqueous solution of carbonic acid reacts to reach equilibrium as described below. – H2CO3 (aq ) H2O(l ) HCO ( aq ) H O (aq ) 3 3 The solution contains the following solution concentrations: carbonic acid, 3.3 × 10−2 mol/L; bicarbonate ion, 1.19 × 10−4 mol/L; and hydronium ion, 1.19 × 10−4 mol/L. Determine the Keq. Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Section 2 Systems at Equilibrium Chapter 14 Calculating Keq from Concentrations of Reactants and Products Sample Problem A Solution [H2CO3 ] 3.3 10-2 [HCO3– ] [H3O ] 1.19 10-4 For this reaction, the equilibrium constant expression is Keq [HCO3– ][H3O ] [H2CO3 ] Substitute the concentrations into the expression. Keq [HCO3– ][H3O ] (1.19 10-4 ) (1.19 10-4 ) -7 4.3 10 [H2CO3 ] (3.3 10-2 ) Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. H.W. #2 Sample Problem A, practice pg. 506 1. For the system involving N O and NO at equilibrium at a temperature of 100C, the product concentration of N O is 4.0 10-2 mol/L and the reactant concentration of NO is 1.4 10-1 mol/L. What is the K value for this reaction? 2 2 4 2 4 2 eq Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 14 Section 2 Systems at Equilibrium The Equilibrium Constant, Keq, continued Keq Shows If the Reaction Is Favorable • When Keq is large, the numerator of the equilibrium constant expression is larger than the denominator. • Thus, the concentrations of the products will usually be greater than those of the reactants. • In other words, when a reaction that has a large Keq reaches equilibrium, there will be mostly products. Reactions in which more products form than reactants form are said to be “favorable.” Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 14 Section 2 Systems at Equilibrium The Equilibrium Constant, Keq, continued Keq Shows If the Reaction Is Favorable, continued • The synthesis of ammonia is very favorable at 25°C and has a large Keq value. 2NH3 ( g ) N2 (g ) 3H2 (g ) K eq [NH3 ]2 8 3.3 10 [N2 ][H2 ]3 Chapter menu at 25 C Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 14 Section 2 Systems at Equilibrium The Equilibrium Constant, Keq, continued Keq Shows If the Reaction Is Favorable, continued • However, the reaction of oxygen and nitrogen to give nitrogen monoxide is not favorable at 25°C. 2NO(g ) N2 (g ) O2 (g ) K eq [NO2 ]2 4.5 10–31 [N2 ][O2 ] Chapter menu at 25 C Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 14 Section 2 Systems at Equilibrium The Equilibrium Constant, Keq, continued Keq Shows If the Reaction Is Favorable, continued • When Keq is small, the denominator of the equilibrium constant expression is larger than the numerator. • The larger denominator shows that the concentrations of reactants at chemical equilibrium may be greater than those of products. A reaction that has larger concentrations of reactants than concentrations of products is an “unfavorable” reaction. Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 14 Section 2 Systems at Equilibrium The Equilibrium Constant, Keq, continued Keq Shows If the Reaction Is Favorable, continued These pie charts show the relative amounts of reactants and products for three Keq values of a reaction. Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 14 Section 2 Systems at Equilibrium Calculating Concentrations of Products from Keq and Concentrations of Reactants Sample Problem B Keq for the equilibrium below is 1.8 × 10−5 at a temperature of 25°C. Calculate [NH4 ] when [NH3] = 6.82 × 10−3. – NH3 (aq ) H2O(l ) NH ( aq ) OH (aq ) 4 Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 14 Section 2 Systems at Equilibrium Calculating Concentrations of Products from Keq and Concentrations of Reactants, continued Sample Problem B Solution The equilibrium expression is NH4and OH− ions are produced in equal numbers, so [OH– ] [NH4 ]. So, the numerator can be written as x2. Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 14 Section 2 Systems at Equilibrium Calculating Concentrations of Products from Keq and Concentrations of Reactants, continued Sample Problem B Solution, continued Keq and [NH3] are known and can be put into the expression. 1.8 10–5 Keq [NH4 ][OH– ] x2 [NH3 ] 6.82 10-3 x2 = (1.8 10−5) (6.82 10−3) = 1.2 × 10−7 Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 14 Section 2 Systems at Equilibrium Calculating Concentrations of Products from Keq and Concentrations of Reactants, continued Sample Problem B Solution, continued Take the square root of x2. [NH4 ] 1.2 10-7 3.5 10-4 Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 14 HW. #2 Sample Problem B, practice pg. 506 Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 14 Section 2 Systems at Equilibrium The Solubility Product Constant, Ksp • The maximum concentration of a salt in an aqueous solution is called the solubility of the salt in water. • Solubilities can be expressed in moles of solute per liter of solution (mol/L or M). • For example, the solubility of calcium fluoride in water is 3.4 × 10−4 mol/L. • So, 0.00034 mol of CaF2 will dissolve in 1 L of water to give a saturated solution. • If you try to dissolve 0.00100 mol of CaF2 in 1 L of water, 0.00066 mol of CaF2 will remain undissolved. Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 14 Visual Concepts Solution Equilibrium Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 14 Section 2 Systems at Equilibrium The Solubility Product Constant, Ksp, continued • Calcium fluoride is one of a large class of salts that are said to be slightly soluble in water. • The ions in solution and any solid salt are at equilibrium. 2 – CaF2 (s ) Ca ( aq ) 2F (aq ) • Solids are not a part of equilibrium constant expressions, so Keq for this reaction is the product of [Ca2+] and [F−]2, which is equal to a constant. Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 14 Section 2 Systems at Equilibrium The Solubility Product Constant, Ksp, continued • Equilibrium constants for the dissolution of slightly soluble salts are called solubility product constants, Ksp, and have no units. • The Ksp for calcium fluoride at 25°C is 1.6 10−10. Ksp = [Ca2+][F−]2 = 1.6 10−10 • This relationship is true whenever calcium ions and fluoride ions are in equilibrium with calcium fluoride, not just when the salt dissolves. Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 14 Section 2 Systems at Equilibrium The Solubility Product Constant, Ksp, continued • For example, if you mix solutions of calcium nitrate and sodium fluoride, calcium fluoride precipitates. • The net ionic equation for this precipitation is the reverse of the dissolution. CaF2 (s ) Ca2 (aq ) 2F– (aq ) • This equation is the same equilibrium. So, the Ksp for the dissolution of CaF2 in this system is the same and is 1.6 × 10−10. Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 14 Visual Concepts Solubility Product Constant Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 14 Visual Concepts Solubility Product Constant Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 14 Section 2 Systems at Equilibrium The Solubility Product Constant, Ksp, continued Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 14 Section 2 Systems at Equilibrium The Solubility Product Constant, Ksp, continued Determining Ksp for Reactions at Chemical Equilibrium 1. Write a balanced chemical equation. • Solubility product is only for salts that have low solubility. Soluble salts do not have Ksp values. • Make sure that the reaction is at equilibrium. • Equations are always written so that the solid salt is the reactant and the ions are products. Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 14 Section 2 Systems at Equilibrium The Solubility Product Constant, Ksp, continued Determining Ksp for Reactions at Chemical Equilibrium 2. Write a solubility product expression. • Write the product of the ion concentrations. • Concentrations of solids or liquids are omitted. 3. Complete the solubility product expression. • Raise each concentration to a power equal to the substance’s coefficient in the balanced chemical equation. Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 14 Section 2 Systems at Equilibrium Calculating Ksp from Solubility Sample Problem C Most parts of the oceans are nearly saturated with CaF2.The mineral fluorite, CaF2, may precipitate when ocean water evaporates. A saturated solution of CaF2 at 25°C has a solubility of 3.4 × 10−4 M. Calculate the solubility product constant for CaF2. Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 14 Section 2 Systems at Equilibrium Calculating Ksp from Solubility, continued Sample Problem C Solution 2 – CaF2 (s ) Ca ( aq ) 2F (aq ) [CaF2] = 3.4 10–4, [F−] = 2[Ca2+] Ksp = [Ca2+][F−]2 Because 3.4 × 10−4 mol CaF2 dissolves in each liter of solution, you know from the balanced equation that every liter of solution will contain 3.4 × 10−4 mol Ca2+ and 6.8 × 10−4 mol F−. Thus, the Ksp is: [Ca2+][F−]2 = (3.4 10−4)(6.8 10−4)2 = 1.6 × 10−10 Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. HW. # 3 Sample Problem C, practice pg. 509 1) Copper(I) bromide is dissolved in water to saturation at 25C. The concentration of Cu ions in solution is 7.9 10-5 mol/L. Calculate the Ksp for copper(I) bromide at this temperature. (ans. 6.2E-9) 2) What is the Ksp value for Ca (PO ) at 298 K if the concentrations in a solution at equilibrium with excess solid are 3.42 10-7 M for Ca ions and 2.28 10 M for PO -3 ions? (ans.2.08E-33) 3 4 2 -7 2 4 Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 14 Section 2 Systems at Equilibrium Calculating Ionic Concentrations Using Ksp, Sample Problem D Copper(I) chloride has a solubility product constant of 1.2 × 10−6 and dissolves according to the equation below. Calculate the solubility of this salt in ocean water in which the [Cl−] = 0.55. – CuCl(s ) Cu ( aq ) Cl (aq ) Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 14 Section 2 Systems at Equilibrium Calculating Ionic Concentrations Using Ksp, continued Sample Problem D Solution The product of [Cu+][Cl−] must equal Ksp = 1.2 × 10−6. [Cl−] = 0.55 Ksp = [Cu+][Cl−] = 1.2 × 10−6 –6 K 1.2 10 [Cu ] sp– 2.2 10–6 [Cl ] 0.55 This is the solubility of copper(I) chloride because the dissolution of 1 mol of CuCl produces 1 mol of Cu+. Therefore, the solubility of CuCl is 2.2 × 10−6 mol/L. Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. HW. # 1,2 Sample Problem D , practice pg. 510 3) Calculate the concentration of Pb ions in solution when PbCl is dissolved in water.The concentration of Clions in this solution is found to be 2.86 10 mol/L. At 25C, the K of PbCl is 1.17 10 . ans. 0.0143 2 2 -2 sp 2 -5 4) What is the concentration of Cu ions in a saturated solution of copper(I) chloride given that the K of CuCl is 1.72 10 at 25C? ans. 4.15E-4 + sp -7 Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Sample Problem D , practice pg. 510 1)The K for silver carbonate is 8.4 10-12 at 298 K. The concentration of carbonate ions in a saturated solution is 1.28 10-4 M. What is the concentration of silver ions? (2.6E-4) sp 2) Lead-acid batteries employ lead(II) sulfate plates in a solution of sulfuric acid. Use data from Table 3 to calculate the solubility of PbSO4 in a battery acid that has an SO4 -2concentration of 1.0 M. (1.8E-8) Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. HW. Section Review, pg. 511, # 1-7 Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Section 14.2 Review, pg. 511 1. Giving an example, explain how to write an expression for Keq from a chemical equation. 2. Which species are left out from the Keq expression, and why? 3. To which chemical systems can a Ksp be assigned? 4. When does Ksp not apply? Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Section 14.2 Review, pg. 511 5) For the reaction in which hydrogen iodide is made at 425C in the gas phase from its elements, calculate [HI], given that [H ] [I ] 4.79 10-4 and Keq 54.3.(ans. 3.53E-3) 2 2 Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Section 14.2 Review, pg. 511 6) Given that the Ksp value of CuS is 1.3 10-36, what is [Cu 2] in a saturated solution?(ans. 1.14E-18) Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Section 14.2 Review, pg. 511 7) Write the equation for the reaction in which solid carbon reacts with gaseous carbon dioxide to form gaseous carbon monoxide. At equilibrium, a 2.0 L reaction vessel is found to contain 0.40 mol of C, 0.20 mol of CO , and 0.10 mol of CO. Find the Keq. (ans. 2.5E-2) 2 Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 14 Standardized Test Preparation Understanding Concepts 1. In which of these reactions is the formation of the products favored by an increase in pressure? A. 2O3(g) 3O2(g) B. C(s) + O2(g) CO2(g) C. 2NO(g) + O2(g) 2NO2(g) D. CO2 (aq) + 2H2O(l ) H3O (aq) + HCO3– (aq) Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 14 Standardized Test Preparation Understanding Concepts 2. What is the effect of an increase in temperature on an exothermic reaction at equilibrium? F. It has no effect on the equilibrium. G. It shifts the equilibrium in favor of the forward reaction. H. It shifts the equilibrium in favor of the reverse reaction. I. It shifts the equilibrium in favor of both the forward and reverse reactions. Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 14 Standardized Test Preparation Understanding Concepts 2. What is the effect of an increase in temperature on an exothermic reaction at equilibrium? F. It has no effect on the equilibrium. G. It shifts the equilibrium in favor of the forward reaction. H. It shifts the equilibrium in favor of the reverse reaction. I. It shifts the equilibrium in favor of both the forward and reverse reactions. Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 14 Standardized Test Preparation Understanding Concepts 3. Which of the following properties of a reactant is included in a Keq equation? A. charge B. concentration C. mass D. volume Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 14 Standardized Test Preparation Understanding Concepts 3. Which of the following properties of a reactant is included in a Keq equation? A. charge B. concentration C. mass D. volume Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 14 Standardized Test Preparation Understanding Concepts 4. Explain how the common ion effect is involved in the addition of NaIO3 to a solution of Cd(IO3)2, which is much less soluble than NaIO3. Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 14 Standardized Test Preparation Understanding Concepts 4. Explain how the common ion effect is involved in the addition of NaIO3 to a solution of Cd(IO3)2, which is much less soluble than NaIO3. Answer: Some of the Cd(IO3)2 would precipitate out of the solution, reducing the cadmium ion concentration. Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 14 Standardized Test Preparation Understanding Concepts 5. Explain how pressure can be used to maximize the production of carbon dioxide in the reaction 2CO2 (g )? 2CO(g ) O2 (g ) Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 14 Standardized Test Preparation Understanding Concepts 5. Explain how pressure can be used to maximize the production of carbon dioxide in the reaction 2CO2 (g )? 2CO(g ) O2 (g ) Answer: Increasing the pressure will cause the reaction to favor the production of carbon dioxide because there are three gas molecules in the reactants and only two in the products. Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 14 Standardized Test Preparation Reading Skills Read the passage below. Then answer the questions. Coral reefs are made by tiny organisms known as polyps. They attach themselves permanently in one place and survive by eating tiny marine animals that swim past. The polyps secrete calcium carbonate to make their shells or skeletons. When the polyps die, the calcium carbonate structures remain and accumulate over time to form a reef. This reef building is possible because calcium carbonate is only slightly soluble in water. Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 14 Standardized Test Preparation Reading Skills 6. What is the Ksp expression for calcium carbonate? F. Ksp [Ca2 ][CO32– ] G. Ksp [Ca2 ][CO32– ]2 2 2 2– H. Ksp [Ca ] [CO3 ] I. Ksp [Ca2 ]2 [CO32– ]2 Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 14 Standardized Test Preparation Reading Skills 6. What is the Ksp expression for calcium carbonate? F. Ksp [Ca2 ][CO32– ] G. Ksp [Ca2 ][CO32– ]2 2 2 2– H. Ksp [Ca ] [CO3 ] I. Ksp [Ca2 ]2 [CO32– ]2 Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 14 Standardized Test Preparation Reading Skills 7. What is the most likely source of calcium used by the polyps to build their shells? A. calcium atoms in solution in sea water B. calcium ions in solution in sea water C. calcium particles that reach the water in acid rain D. calcium containing rocks gathered from the ocean floor Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 14 Standardized Test Preparation Reading Skills 7. What is the most likely source of calcium used by the polyps to build their shells? A. calcium atoms in solution in sea water B. calcium ions in solution in sea water C. calcium particles that reach the water in acid rain D. calcium containing rocks gathered from the ocean floor Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 14 Standardized Test Preparation Reading Skills 8. The Ksp for calcium carbonate is 2.8 10-9 and the Ksp value for calcium sulfate is 9.1 10-6. If coral polyps secreted calcium sulfate rather than calcium carbonate, how would this affect the formation of the coral reef? Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 14 Standardized Test Preparation Reading Skills 8. The Ksp for calcium carbonate is 2.8 10-9 and the Ksp value for calcium sulfate is 9.1 10-6. If coral polyps secreted calcium sulfate rather than calcium carbonate, how would this affect the formation of the coral reef? Answer: A reef would not be built as quickly if polyps secreted calcium sulfate, because calcium sulfate has a higher solubility in water. Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 14 Standardized Test Preparation Interpreting Graphics Use the information from the table below to answer questions 9 through 12. Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 14 Standardized Test Preparation Interpreting Graphics 9. What is the concentration of magnesium carbonate in a saturated aqueous solution? F. 0.0000068 M G. 0.0026 M H. 0.84 M I. 1.31 M Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 14 Standardized Test Preparation Interpreting Graphics 9. What is the concentration of magnesium carbonate in a saturated aqueous solution? F. 0.0000068 M G. 0.0026 M H. 0.84 M I. 1.31 M Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 14 Standardized Test Preparation Interpreting Graphics 10. If a saturated solution of silver carbonate is mixed with a saturated solution of zinc sulfide, a precipitate forms. What compound precipitates? A. Ag2CO3 B. Ag2S C. ZnCO3 D. ZnS Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 14 Standardized Test Preparation Interpreting Graphics 10. If a saturated solution of silver carbonate is mixed with a saturated solution of zinc sulfide, a precipitate forms. What compound precipitates? A. Ag2CO3 B. Ag2S C. ZnCO3 D. ZnS Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 14 Standardized Test Preparation Interpreting Graphics 11. Calculate the concentration of S2– ions in a saturated solution of FeS that contains 0.010 M Fe2+ ions. Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 14 Standardized Test Preparation Interpreting Graphics 11. Calculate the concentration of S2– ions in a saturated solution of FeS that contains 0.010 M Fe2+ ions. Answer: 1.6 10–17 M Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 14 Standardized Test Preparation Interpreting Graphics 12. What will happen if a solution containing 1 10–10 M Na2CO3 is mixed with an equal volume of a solution containing 1 10–10 M MgCl2 and 1 10–10 M ZnCl2? F. No precipitate will form. G. MgCO3 will precipitate out of the solution. H. ZnCO3 will precipitate out of the solution. I. MgCO3 and ZnCO3 will precipitate out of the solution. Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 14 Standardized Test Preparation Interpreting Graphics 12. What will happen if a solution containing 1 10–10 M Na2CO3 is mixed with an equal volume of a solution containing 1 10–10 M MgCl2 and 1 10–10 M ZnCl2? F. No precipitate will form. G. MgCO3 will precipitate out of the solution. H. ZnCO3 will precipitate out of the solution. I. MgCO3 and ZnCO3 will precipitate out of the solution. Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved.