Chapter 13 Properties of Liquids Liquid water provides the base for the recreation of windsurfing and also for our bodies., Water is a unique liquid on our blue planet. Foundations of College Chemistry, 13e John Wiley & Sons, Inc Morris Hein and Susan Arena Chapter Outline 13.1 What is a Liquid? 13.2 Evaporation 13.3 Vapor Pressure 3/23/2016 C13 14 15 Properties of Liquids Solutions Acids Bases Salts Copyright 2011 John Wiley & Sons, Inc 13-2 What Is a Liquid? 3/23/2016 C13 14 15 Properties of Liquids Solutions Acids Bases Salts Copyright 2011 John Wiley & Sons, Inc 13-3 Evaporation Evaporation or vaporization is the escape of molecules from the liquid state to the gas or vapor state. liquid vapor 3/23/2016 C13 14 15 Properties of Liquids Solutions Acids Bases Salts Copyright 2011 John Wiley & Sons, Inc 13-4 Sublimation Sublimation is the phase change from the solid state to the gas or vapor state without going through the liquid state. solid vapor CO2(s) CO2(g) I2(s) I2(g) Iodine crystals 3/23/2016 C13 14 15 Properties of Liquids Solutions Acids Bases Salts Copyright 2011 John Wiley & Sons, Inc 13-5 Vapor Pressure In a closed container, an equilibrium develops where there are as many molecules evaporating as there are condensing. Vapor pressure is the pressure exerted by a vapor in equilibrium with its liquid. 3/23/2016 liquid evaporation condensation C13 14 15 Properties of Liquids Solutions Acids Bases Salts Copyright 2011 John Wiley & Sons, Inc vapor 13-6 Vapor Pressure Is independent of the quantity of the liquid or its surface area Increases with increasing temperature. Depends on the strength of the attraction between molecules in the liquid state. Volatile liquids have very weak attractive forces and so evaporate rapidly at room temperature. Volatile liquids have high vapor pressures at 25°C. 3/23/2016 C13 14 15 Properties of Liquids Solutions Acids Bases Salts Copyright 2011 John Wiley & Sons, Inc 13-7 Vapor Pressure 3/23/2016 C13 14 15 Properties of Liquids Solutions Acids Bases Salts Copyright 2011 John Wiley & Sons, Inc 13-8 Your Turn! The vapor pressure of diethyl ether was 318 mm Hg while the vapor pressure of ethyl alcohol was 44 mm Hg. Which substance has stronger attractive forces between molecules? a. diethyl ether b. ethyl alcohol 3/23/2016 C13 14 15 Properties of Liquids Solutions Acids Bases Salts Copyright 2011 John Wiley & Sons, Inc 13-9 Your Turn! In a system at equilibrium between the liquid and gas phases a. Particles stop changing phase b. The rate at which particles change from liquid to gas exceeds the rate at which they change from gas to liquid. c. The rate at which particles change from gas to liquid equals the rate at which they change from liquid to gas. 3/23/2016 C13 14 15 Properties of Liquids Solutions Acids Bases Salts Copyright 2011 John Wiley & Sons, Inc 13-10 Your Turn! Which has the lowest vapor pressure? a. 100 mL of gasoline at 15°C b. 25 mL of gasoline at 50°C c. 50 mL of gasoline at 50°C d. 25 mL of gasoline at 70°C 3/23/2016 C13 14 15 Properties of Liquids Solutions Acids Bases Salts Copyright 2011 John Wiley & Sons, Inc 13-11 Chapter 14 Solutions Brass, a solid solution of zinc and copper, is used to make musical instruments and many other objects. Foundations of College Chemistry, 13e John Wiley & Sons, Inc Morris Hein and Susan Arena Chapter Outline 14.1 General Properties of Solutions 14.5 Solutions: A Reaction Medium 14.2 Solubility 14.6 Concentration of Solutions 14.3 Factors Related to Solubility 14.4 Rate of Dissolving Solids 3/23/2016 C14 Solutions Copyright 2011 John Wiley & Sons, Inc 14-13 General Properties of Solutions A solution is a homogeneous mixture of one or more solutes and the solvent. The solute is the substance being dissolved. The solvent is the dissolving agent and is usually the most abundant substance in the mixture. Air is a solution of N2(g), O2(g), Ar(g), CO2(g)... What substance is the solvent in air? N2(g), since 78% of air is N2. 3/23/2016 C14 Solutions Copyright 2011 John Wiley & Sons, Inc 14-14 Common Types of Solutions What gas is the solute in soft drinks? carbon dioxide What is another solute in soft drinks? sugar and flavorings 3/23/2016 C14 Solutions Copyright 2011 John Wiley & Sons, Inc 14-15 Properties of a True Solution 1. A homogeneous mixture of 2 or more components whose ratio can be varied. 2. The dissolved solute is molecular or ionic in size (less than 1 nm). 3. Liquid or gaseous solutions can be colored or colorless and are usually transparent. 4. The solute will not settle out of the solution. 5. The solute can be separated from the solvent by physical means. 3/23/2016 C14 Solutions Copyright 2011 John Wiley & Sons, Inc 14-16 Your Turn! Sweet tea is prepared by dissolving an instant tea packet in water. Which substance is the solvent? a. sugar b. tea c. water 3/23/2016 C14 Solutions Copyright 2011 John Wiley & Sons, Inc 14-17 Your Turn! A solution of alcohol and water is prepared by adding 25 mL of water to 75 mL methyl alcohol. Which substance is the solute? a. methyl alcohol b. water 3/23/2016 C14 Solutions Copyright 2011 John Wiley & Sons, Inc 14-18 Solubility Solubility describes the amount of a substance that will dissolve in a specified amount of solvent at a particular temperature. For example: 36 g NaCl/100 g H2O at 20°C Miscible is the term used if 2 liquids will dissolve in each other. Immiscible is used if the liquids will not dissolve in each other. 3/23/2016 C14 Solutions Copyright 2011 John Wiley & Sons, Inc 14-19 Ionic Compound Solubility Rules NaCl soluble AgNO3 soluble AgCl insoluble AgOH insoluble 3/23/2016 C14 Solutions Copyright 2011 John Wiley & Sons, Inc 14-20 Your Turn! Use the ionic compound solubility rules to predict the solubility of barium sulfate. a. soluble b. insoluble 3/23/2016 C14 Solutions Copyright 2011 John Wiley & Sons, Inc 14-21 Your Turn! Use the ionic compound solubility rules to predict the solubility of ammonium carbonate. a. soluble b. insoluble 3/23/2016 C14 Solutions Copyright 2011 John Wiley & Sons, Inc 14-22 Factors Related to Solubility “Like dissolves like” Polar compounds dissolve in polar solvents, like water and alcohol (CH3CH2OH) – Acetone [(CH3)2CO] dissolves in water because it has a net dipole on the O to C bond, making it polar. Nonpolar compounds dissolve in nonpolar solvents, like petroleum ether and CCl4 – Hexane [CH3(CH2)4CH3] dissolves in petroleum ether because they are both nonpolar. 3/23/2016 C14 Solutions Copyright 2011 John Wiley & Sons, Inc 14-23 Ionic Solubility Many ionic compounds dissolve in water because they form ion to dipole forces with water (a strong intermolecular force). The ions become surrounded by water (become hydrated). The cation is attracted to the partially negative O in water The anion is attracted to the partially positive H in water. 3/23/2016 C14 Solutions Copyright 2011 John Wiley & Sons, Inc 14-24 Temperature and Solubility Most solids’ solubility increases with increasing temperature. (See red lines.) All gases solubility decreases with increasing temperature. (See blue lines.) 3/23/2016 C14 Solutions Copyright 2011 John Wiley & Sons, Inc 14-25 Pressure and Solubility Pressure does not affect the solubility of solids or liquids, but there is a large effect with gases. The solubility of gas in a liquid is proportional to the pressure of the gas over the liquid. Sodas are canned under high pressure. When you open a can, the pressure decreases and bubbles form, releasing the excess gases. 3/23/2016 C14 Solutions Copyright 2011 John Wiley & Sons, Inc 14-26 Your Turn! Under what conditions are gases most soluble in liquids? a. high temperature, high pressure b. high temperature, low pressure c. low temperature, high pressure d. low temperature, low pressure 3/23/2016 C14 Solutions Copyright 2011 John Wiley & Sons, Inc 14-27 Saturated and Unsaturated Solutions Saturated solutions contain as much dissolved solute as the solvent will hold at a given temperature. Saturated solutions are always in equilibrium with undissolved solute. undissolved solute → dissolved solute Any point on the solubility curve represents a saturated solution of that solute. Unsaturated solutions contain less solute than the amount needed to saturate the solution. → 3/23/2016 C14 Solutions Copyright 2011 John Wiley & Sons, Inc 14-28 Supersaturated Solutions Supersaturated solutions contain more solute than the amount needed to saturate the solution at a particular temperature. Supersaturated solutions are unstable – stirring, adding a crystal of solute – will cause the excess solute to come out of solution. 3/23/2016 C14 Solutions Copyright 2011 John Wiley & Sons, Inc 14-29 Your Turn! What mass of this compound will dissolve at 30°C? a. 5.0 g b. 5.4 g c. 5.8 g d. 6.0 g 3/23/2016 C14 Solutions Copyright 2011 John Wiley & Sons, Inc 14-30 Your Turn! 6.0 g of solute is dissolved in 100 g of water at 60°C. The solution is allowed to cool to 25°C. No crystals form. The solution is: a. saturated b. unsaturated c. supersaturated 3/23/2016 C14 Solutions Copyright 2011 John Wiley & Sons, Inc 14-31 Your Turn! The addition of a crystal sodium acetate to a sodium acetate solution causes additional crystals of sodium acetate to precipitate. The original solution was a. Saturated b. Supersaturated c. Unsaturated 3/23/2016 C14 Solutions Copyright 2011 John Wiley & Sons, Inc 14-32 Rate of Dissolving Solids Particle Size A solid can dissolve only at the surface that is in contact with the solvent. Smaller crystals have a larger surface to volume ratio than large crystals. Smaller crystals dissolve faster than larger crystals. 3/23/2016 C14 Solutions Copyright 2011 John Wiley & Sons, Inc 14-33 Surface Area 3/23/2016 C14 Solutions Copyright 2011 John Wiley & Sons, Inc 14-34 Rate of Dissolving Solids Temperature Increasing the temperature increases the rate at which most compounds dissolve. This occurs because solvent molecules strike the surface of the solid more frequently, causing the solid to dissolve more rapidly. The dissolved solute particles are also carried away from the solid by the higher kinetic energy solvent molecules, allowing more solvent to hit the surface. 3/23/2016 C14 Solutions Copyright 2011 John Wiley & Sons, Inc 14-35 Rate of Dissolving Solids Concentration of solution 3/23/2016 C14 Solutions Copyright 2011 John Wiley & Sons, Inc 14-36 Rate of Dissolving Solids Agitation or Stirring Stirring rapidly distributes the dissolved solute throughout the solution, eliminating the saturated solution that forms at the surface of the solid. Moving dissolved solute away from the surface increases the contact between water molecules and the solid and increases the rate of dissolving. 3/23/2016 C14 Solutions Copyright 2011 John Wiley & Sons, Inc 14-37 Your Turn! Which would most likely increase the solubility of a solid in water? a. Stirring b. Grind the solid to increase its surface area c. Increase the pressure d. Increase the temperature e. All of the above 3/23/2016 C14 Solutions Copyright 2011 John Wiley & Sons, Inc 14-38 Solutions: A Reaction Medium Dissolving reactants allows them to come into solution. Combining two solids usually will not result in any significant reaction: KCl(s) + AgNO3 (s) no reaction But if you dissolve those same reactants in water, the silver ion can collide with the chloride ion, resulting in solid AgCl. KCl(aq) + AgNO3(aq) AgCl(s) + KNO3(aq) 3/23/2016 C14 Solutions Copyright 2011 John Wiley & Sons, Inc 14-39 Concentration of Solutions Qualitative expressions of concentration: • A dilute solution contains a relatively small amount of dissolved solute. • A concentrated solution contains a relatively large amount of solute. Hydrochloric acid is sold as a concentrated 12 M (moles/ L) solution. A dilute 0.1 M solution is commonly found in labs. 3/23/2016 C14 Solutions Copyright 2011 John Wiley & Sons, Inc 14-40 Concentration of Solutions Quantitative expressions of concentration: 3/23/2016 C14 Solutions Copyright 2011 John Wiley & Sons, Inc 14-41 Mass Percent Calculate the mass % NaCl in a solution prepared by dissolving 50. g NaCl in 150. g H2O. Knowns Solving for 50. g NaCl (solute) 150. g H2O (solvent) 50. g NaCl + 150. g H2O = 200. g mass of solution mass of solute mass % = 100% mass of solution 50 g NaCl 100% = 25% NaCl Calculate mass % 200 g soln 3/23/2016 C14 Solutions Copyright 2011 John Wiley & Sons, Inc 14-42 Mass Percent mass solute 100% mass solution Calculate the mass of Na2CO3 and water needed to make 350. g of a 12.3% solution. Knowns 350. g solution 12.3% solution Solving for mass of solute (Na2CO3) and mass of H2O Calculate 12.3 g Na 2CO3 350. g soln = 43.1 g Na2CO3 100 g soln mass of H2O = 350. g – 43.1 g = 307 g H2O 3/23/2016 C14 Solutions Copyright 2011 John Wiley & Sons, Inc 14-43 Mass-Volume Percent g solute 100% ml solution Normal saline is a 0.90 m/v % NaCl solution. What mass of sodium chloride is needed to make 50. mL of normal saline? Knowns 50. mL solution 0.90 m/v% solution Solving for mass of solute (NaCl) 0.90 g NaCl Calculate 50. mL soln = 0.45 g NaCl 100 mL soln 3/23/2016 C14 Solutions Copyright 2011 John Wiley & Sons, Inc 14-44 Volume Percent volume solute 100% volume solution What volume of beer that is 6.0 % by volume alcohol contains 200. ml CH3CH2OH (ethyl alcohol)? Knowns 200. mL EtOH (solute) 6.0 volume % solution Solving for volume of solution = 3.3 L beer 100 mL beer 1L Calculate 200 mL EtOH 6.0 ml EtOH 1000 mL 3/23/2016 C14 Solutions Copyright 2011 John Wiley & Sons, Inc 14-45 Your Turn! A 20.0 % solution of KCl has a mass of 400. g. What mass of KCl is contained in this solution? a. 20.0 g b. 80.0 g c. 320. g d. 400. g 3/23/2016 C14 Solutions Copyright 2011 John Wiley & Sons, Inc 14-46 Your Turn! A solution is prepared by mixing 20.0 mL of propanol with enough water to produce 400.0 mL of solution. What is the volume percent of propanol in this solution? A. 0.500 % B. 4.76 % C. 5.00 % D. 5.26 % 3/23/2016 C14 Solutions Copyright 2011 John Wiley & Sons, Inc 14-47 Molarity moles of solute L of solution A 1.0 M KCl solution is prepared by dissolving 1.0 moles KCl in enough water to make 1.0 L of solution. 3/23/2016 C14 Solutions Copyright 2011 John Wiley & Sons, Inc 14-48 Molarity moles of solute L of solution Calculate the molarity of a solution prepared by dissolving 9.35 g KCl in enough H2O to make 250. mL solution. 9.35 g KCl (solute) Knowns 250. mL solution Solving for moles of solute M = = 0.502 M KCl L of solution Calculate 9.35 g KCl 1 mol KCl M= 250 mL soln 74.551 g KCl 3/23/2016 C14 Solutions Copyright 2011 John Wiley & Sons, Inc 1000 mL 1L 14-49 Dilution Dilution: Adding solvent to a concentrated solution to make a more dilute solution. When you dilute a concentrated solution, only the volume of solution changes. The quantity of solute remains the same. Volume (V) × Molarity (M) = moles of solute V1 × M1 = V2 × M2 3/23/2016 C14 Solutions Copyright 2011 John Wiley & Sons, Inc 14-50 Dilution V1 × M1 = V2 × M2 How many milliliters of 12 M HCl are needed to make 500. mL of 0.10 M HCl? Knowns Solving for 12 M HCl (concentrated solution) M1 0.10 M HCl (dilute solution) C2 500. mL (dilute solution) V2 volume of 12 M HCl V1 Calculate V2 M 2 500 mL×0.10 M V1 = 4.2 mL of 12 M HCl M1 12 M 3/23/2016 C14 Solutions Copyright 2011 John Wiley & Sons, Inc 14-51 Your Turn! What is the molarity of a solution in which 5.85 g of NaCl is dissolved in 200. mL of solution? a. 0.500 M b. 1.00 M c. 2.00 M d. 4.00 M 3/23/2016 C14 Solutions Copyright 2011 John Wiley & Sons, Inc 14-52 Your Turn! What is the molarity of the resulting solution when 300. mL of a 0.400 M solution is diluted to 800. mL? a. 0.109 M b. 0.150 M c. 1.07 M d. 1.47 M 3/23/2016 C14 Solutions Copyright 2011 John Wiley & Sons, Inc 14-53 Chapter 15 Acids, Bases, and Salts Lemons and limes are examples of food which contains acidic solutions. Foundations of College Chemistry, 13e John Wiley & Sons, Inc Morris Hein and Susan Arena Chapter Outline 15.1 Acids and Bases 15.8 Ionization of Water 15.2 Reactions of Acids 15.9 Introduction to pH 15.3 Reactions of Bases 15.4 Salts 15.5 Electrolytes and Nonelectrolytes 15.6 Dissociation and Ionization of Electrolytes 15.7 Strong and Weak Electrolytes 3/23/2016 C15 Acids, Bases and Salts Copyright 2011 John Wiley & Sons, Inc 15-55 Arrhenius Acids Definition: An acid solution contains an excess of H+ ions. Properties 1. Sour taste 2. Turn blue litmus red 3. The ability to react with • Metals to produce H2 gas • Bases to produce salt and water • Carbonates to produce carbon dioxide 3/23/2016 C15 Acids, Bases and Salts Copyright 2011 John Wiley & Sons, Inc 15-56 Arrhenius Bases Definition: A base solution contains an excess of OH- ions. Properties 1. Bitter or caustic taste 2. Turn red litmus blue 3. Slippery, soapy feeling 4. Neutralize acids 3/23/2016 C15 Acids, Bases and Salts Copyright 2011 John Wiley & Sons, Inc 15-57 Your Turn! Which type of solution would have a sour taste and turn blue litmus red? a. Acid b. Base c. Salt 3/23/2016 C15 Acids, Bases and Salts Copyright 2011 John Wiley & Sons, Inc 15-58 Reactions of Acids Acids react with metals that lie above H in the activity series: acid + metal salt + hydrogen 2HCl(aq) + Mg(s) MgCl2(aq) + H2(g) Acids react with bases (neutralization) acid + base salt + water 2HCl(aq) + Ca(OH)2(aq) CaCl2(aq) + 2H2O (l) 3/23/2016 C15 Acids, Bases and Salts Copyright 2011 John Wiley & Sons, Inc 15-59 Reactions of Acids Acids react with metal oxides acid + base salt + water 2HCl(aq) + Na2O(s) 2NaCl(aq) + H2O(l) Acids react with metal carbonate acid + base salt + water + carbon dioxide 2HCl(aq) + Na2CO3(aq) 2NaCl(aq) + H2O(l) + CO2(g) 3/23/2016 C15 Acids, Bases and Salts Copyright 2011 John Wiley & Sons, Inc 15-60 Reactions of Bases Bases can be amphoteric as base: Zn(OH)2(aq)+ 2HBr(aq) ZnBr2(aq) + 2H2O(l) as acid: Zn(OH)2(aq)+ 2NaOH(aq) Na2Zn(OH)4(aq) NaOH and KOH react with metals base + metal + water salt + hydrogen 2NaOH(aq) + 2Al(s) + 6H2O(l) 2NaAl(OH)4(aq) + 3H2O(g) 3/23/2016 C15 Acids, Bases and Salts Copyright 2011 John Wiley & Sons, Inc 15-61 Your Turn! What gas is produced by the reaction of sodium bicarbonate with acetic acid? a. Hydrogen b. Carbon dioxide c. Nitrogen d. Oxygen 3/23/2016 C15 Acids, Bases and Salts Copyright 2011 John Wiley & Sons, Inc 15-62 Salts Salts are the result of acid-base neutralization reactions. HCl(aq)+ NaOH(aq) NaCl(aq)+ H2O(l) Salts are ionic compounds composed of a cation (usually a metal or the ammonium ion) and an anion (not oxide or hydroxide). Salts are usually crystals with high melting and boiling points. 3/23/2016 C15 Acids, Bases and Salts Copyright 2011 John Wiley & Sons, Inc 15-63 Your Turn! What salt forms from the reaction of magnesium hydroxide and sulfuric acid? a. MgS b. Mg2S c. MgSO4 d. Mg2SO4 3/23/2016 C15 Acids, Bases and Salts Copyright 2011 John Wiley & Sons, Inc 15-64 Your Turn! What salt forms from the reaction of aluminum oxide and hydrobromic acid? a. AlBr b. AlBr3 c. Al2Br d. Al2Br3 3/23/2016 C15 Acids, Bases and Salts Copyright 2011 John Wiley & Sons, Inc 15-65 Electrolytes and Nonelectrolytes Electrolytes are compounds whose aqueous solutions conduct electricity. Nonelectrolytes are substances whose aqueous solutions are nonconductors. 3/23/2016 C15 Acids, Bases and Salts Copyright 2011 John Wiley & Sons, Inc 15-66 Electrolytes and Nonelectrolytes It is the movement of ions that conduct electricity in water . Acids, bases and salts are electrolytes because they produce ions in water when they dissolve. 3/23/2016 C15 Acids, Bases and Salts Copyright 2011 John Wiley & Sons, Inc 15-67 Dissociation of Electrolytes Salts dissociate into cations and anions when they dissolve in water. NaCl(s) Na+(aq) + Cl-(aq) 3/23/2016 C15 Acids, Bases and Salts Copyright 2011 John Wiley & Sons, Inc 15-68 Ionization of Electrolytes Ionization is the formation of ions; it is the result of the chemical reaction with water. Acids ionize in water, producing hydronium ions and anions. HCl(g) + H2O(l) H3O+(aq) + Cl-(aq) H3PO4(aq) + H2O(l) → H3O+(aq) + H2PO4-(aq) Weak bases ionize in water, producing hydroxide ions and cations. NH3(aq) + H2O(l) → OH- (aq) + NH4+(aq) → → 3/23/2016 C15 Acids, Bases and Salts Copyright 2011 John Wiley & Sons, Inc 15-69 Your Turn! Which will not dissociate when placed in water? a. KBr b. HCl c. CH3OH d. HClO4 3/23/2016 C15 Acids, Bases and Salts Copyright 2011 John Wiley & Sons, Inc 15-70 Your Turn! A solution is tested with the conductivity apparatus and the light bulb did not light. Which of the following is not likely? a. The beaker contained only water. b. The beaker contained water and C6H12O6. c. The beaker contained water and CaCl2. d. All of the above are likely possibilities. 3/23/2016 C15 Acids, Bases and Salts Copyright 2011 John Wiley & Sons, Inc 15-71 Strong and Weak Electrolytes Strong electrolytes are essentially 100% ionized in water (HCl). Weak electrolytes are much less ionized (HC2H3O2). 3/23/2016 C15 Acids, Bases and Salts Copyright 2011 John Wiley & Sons, Inc 15-72 Strong and Weak Electrolytes Use double arrows to indicate weak ionization. HC2H3O2(aq) + H2O(l) → H3O+(aq) + C2H3O2-(aq) HF(aq) + H2O(l) → H3O+(aq) + F-(aq) → → 3/23/2016 C15 Acids, Bases and Salts Copyright 2011 John Wiley & Sons, Inc 15-73 Salts Salts dissociate into at least 2 ions. A 1M solution of NaCl produces a 2M solution of ions. NaCl(s) Na+(aq) + Cl-(aq) 1 mole 1 mole + 1 mole A 1M solution of CaCl2 produces a 3M solution of ions. CaCl2(s) Ca2+(aq) + 2Cl-(aq) 1 mole 1 mole + 2 mole 3/23/2016 C15 Acids, Bases and Salts Copyright 2011 John Wiley & Sons, Inc 15-74 Your Turn! What is the concentration of chloride ion in a 2.0 M solution of calcium chloride? a. 1.0 M b. 2.0 M c. 3.0 M d. 4.0 M 3/23/2016 C15 Acids, Bases and Salts Copyright 2011 John Wiley & Sons, Inc 15-75 Ionization of Water Pure water auto-ionizes H2O(l) + H2O(l) → H3O+(aq) + OH-(aq) → Concentration H3O+ = Concentration OH- = 1×10-7 M [H3O+]×[OH-] = 10-14 In acid solutions, [H3O+]>[OH-] In basic solution, [H3O+]<[OH-] 3/23/2016 C15 Acids, Bases and Salts Copyright 2011 John Wiley & Sons, Inc 15-76 Introduction to pH pH = -log[H+] In pure water, [H+] = 1×10-7 M so pH = -log(10-7) = 7 high H+ low OH- 3/23/2016 low H+ high OH- C15 Acids, Bases and Salts Copyright 2011 John Wiley & Sons, Inc 15-77 pH 3/23/2016 C15 Acids, Bases and Salts Copyright 2011 John Wiley & Sons, Inc 15-78 Your Turn! How many times more acidic is a solution with a pH of 3 than a solution with a pH of 5? a. 2 b. 20 c. 200 d. 100 3/23/2016 C15 Acids, Bases and Salts Copyright 2011 John Wiley & Sons, Inc 15-79 Introduction to pH pH = -log[H+] 3/23/2016 C15 Acids, Bases and Salts Copyright 2011 John Wiley & Sons, Inc 15-80 Introduction to pH Calculate the pH of a 0.015M H+ solution. pH = - log (0.015) = 1.82 Note: The digits to the left of the decimal place in the pH (the characteristic of the log) reflect the power of ten in the [H+]. In this case, the 1. The characteristic is NOT one of the significant figures in the pH. The number of decimal places for the mantissa of a log must equal the number of significant figures in the original number. 3/23/2016 C15 Acids, Bases and Salts Copyright 2011 John Wiley & Sons, Inc 15-81 Your Turn! What is the pH of a 0.020 M hydrochloric acid solution? a. 0.020 b. -2.0 c. 1.70 d. 1.7 e. -1.7 3/23/2016 C15 Acids, Bases and Salts Copyright 2011 John Wiley & Sons, Inc 15-82 Your Turn! What is the pH of a solution of sodium hydroxide that has a hydronium ion concentration of 2.5×10-11? a. 11 b. 10.6 c. -10.60 d. 10.60 3/23/2016 C15 Acids, Bases and Salts Copyright 2011 John Wiley & Sons, Inc 15-83