ACIDS AND BASES WHAT IS AN ACID? An acidic solution contains more hydrogen ions (H+) than hydroxide (OH-) ions They must be in aqueous solutions Example: H2O H+ + OHMore of these WHAT ARE THE PROPERTIES OF AN ACID? Acidic solutions taste sour Citric acid in lemons and limes, acetic acid in vinegar Able to conduct electricity That’s why there is battery acid Cause litmus paper to turn red Able to neutralize bases WHAT IS A BASE? A basic solution contains more hydroxide ions (OH-) than hydrogen (H+) ions They must be in aqueous solutions Example: H2O H+ + OHMore of these WHAT ARE THE PROPERTIES OF A BASE? Basic solutions taste bitter Basic solutions feel slippery Bases are one of the ingredients of soaps and detergents Bases also conduct electricity Turns litmus paper blue Able to neutralize acids INDICATORS Scientists have a number of ways to measure if something is acidic or basic These are called indicators ARRHENIUS ACID The first person to determine how water became acidic or basic Svante Arrhenius Arrhenius acid: a compound that donates a hydrogen ion (H+) Arrhenius base: a compound that donates a hydroxide ion (OH-) EXAMLES Acids: HCl, HF, HI, H2SO4, HNO3 Bases NaOH, KOH, Ca(OH)2, HOW IT WORKS The actual molecule that makes aqueous solutions acidic is called the hydronium ion (H3O+) H2O + HCl H3O+ + Cl- (acid solution) Abbreviated: NaOH NOTE: HCl H+ + Cl- Na+ + OH- (basic solution) Acids and bases only donate 1 H+ or 1 OH- at a time TRY THESE For 1. 2. 3. 4. each of the following, draw the reaction for the acid or base. Indicate whether it is an acid or base: HCl ? KOH ? H2SO4 ? Mg(OH)2 ? ANSWERS 1. 2. 3. 4. HCl H+ + ClKOH K+ + OHH2SO4 H+ + HSO4Mg(OH)2 MgOH+ + OH- WATER: THE SPECIAL CASE Most compounds either donate a hydrogen ion (H+) or a hydroxide ion (OH-). Water is an example of a compound that can do both H2O + H2O H3O+ + OH Since water can act as an acid or a base it is called: amphoteric HOW DO WE MEASURE ACID? We have a scale that measures how acidic or basic a substance is: pH scale Scale goes from 0-14 The smaller the number the more acidic The bigger the number the more basic pH of 7 is neutral Each pH number is 10x stronger than the previous one pH 4 is 10X stronger than pH 5 pH Scale HOW DO WE FIGURE OUT THE CONCENTRATION OF AN ACID? So far we have a scale that measures how acidic or basic: pH scale Yet how does this relate to our previous measurement: the mole Molarity: the number of moles of solute dissolved per liter of solution, also known as molar concentration Has the unit of molarity (M) FURTHER DEFINITION Solution: a uniform mixture of solids, liquids or gases; also called homogenous Solute: one or more substances dissolved in a solution The stuff you put into the mixture Solvent: the substance that dissolves a solute to form a solution The liquid that you add the stuff to EXAMPLE Molarity of an acid is always based on the concentration of the H+ ion Also written as [H+] REMINDER: Acids and bases always donate 1 H+ or 1 OH- at a time If you have 2 moles of HCl and you add it to 1L of water, what is the molarity of H+ in the solution? EXAMPLE HCl H+ + Cl 2 moles of HCl = 2 moles of H+ 2moles = 2M solution 1 Liter NOTE: To get molarity(M), you must have the solution in moles and Liters (L) Molarity will also be a conversion (moles/L) LET’S TRY SOME 1. 2. 3. If you have 25.0g of sodium hydroxide in 250mL of water, what is the molarity(M) of the hydroxide ion? If you add 155 g of hydrochloric acid in 500mL of water, what is the molarity(M) of the hydronium ion? You add 330g of chromic acid to 100mL of water. What is the molarity(M) of the hydronium ion? ANSWERS 1.2.5M 2.8.5M 3.28M HOW DO WE DO DILUTIONS? A lot of times, when working with acids, you want to reduce the concentrations so they are not so strong. HOW DO WE DO THIS? EXAMPLE You have 500mL of a 6M solution of HCl. How do you dilute this solution to a 0.5M solution? Here’s the formula (V1)(M1) = (V2)(M2) ANSWER (500mL)(6M) = (V2)(0.5M) 3000mL•M = V2(0.5M) 0.5M 0.5M 6000mL = V2 Therefore, you have to add enough water to bring the volume to 6000mL TRY THESE 1. 2. 3. If you have 100mL of a 12M solution of NaOH. What is the final volume needed to make a 0.25M solution? You start with 50mL of a 3.5M solution of HF. What is the final volume needed to make a 1.0M solution? You put 22.8g of HCl in 250mL of water. How much water do you need to make it a 1.0M solution? ANSWERS 1. 4800mL 2. 175mL 3. 625mL HOW DO WE CONVERT BETWEEN pH AND MOLARITY We have two scales to measure the amount of H+ in a solution pH Molarity (M) There has to be a way to convert between pH and molarity pH FORMULA The formula to convert between pH and concentration is: pH = Let’s + -log[H ] examine what these mean EXAMINING THE FORMULA pH: the scale of how acidic or basic log: is a math conversion using the base power of 10 (we will examine this on your calculator) [H+]: the molar concentration of hydronium ions in solution LET’S TRY AN EXAMPLE If you have a solution that has a 1.0x10-3 M of H+, what is the pH? Step 1: Type 1.0x10-3 into your calculator Step 2: Press the log button Step 3: Take the negative of the answer You should get pH = 3 LET’S GO THE OTHER WAY If you have a solution that has a pH of 3.5, what is the concentration of H+? Step 1: Take the inverse log of the negative of the number TI-30X: Type 2nd LOG and then enter the number Casio: Type in the number and type shift log Step 2: Make sure you enter the negative of the pH [H+] = 3.16x10-4 M TRY THESE 1. 2. 3. 4. A solution has a pH of 8.25. What is the molar concentration of H+? A solution has a pH of 1.44. What is the molar concentration of H+? If you have [H+] = 2.45x10-9 M, what is the pH? If you have [H+] = 1.5x10-2 M, what is the pH? ANSWERS 1. 5.62X10-9 M 2. 3.63x10-2 M 3. 8.61 4. 1.04 USING pH IN A DILUTION You have a 3250mL of a solution with a pH of 3.55. What final volume do you need to make the concentration of the solution 2.5x10-5 M? ANSWER V1= 3250mL M1= pH 3.55 = 2.82 x 10-4 M V2= ? M2= 2.5x10-5 M V1M1 = V2M2 (3250mL)(2.82 x10-4 M) = V2 (2.5x10-5 M) V2 = 3.7x104 mL or 37L USING pH IN A DILUTION You have 2.75L of a sample with a pH of 5.83. What final volume do you need to create a solution with a neutral pH? ANSWER V1= 2.75L M1= pH 5.83 = 1.48 x 10-6 M V2= ? M2= pH 7.00 = 1.00x10-7 M V1M1 = V2M2 (2.75L)(1.48 x10-6 M) = V2 (1.00x10-7 M) V2 = 40.7L NEUTRALIZATION REACTIONS So 1. 2. far . . . An acid produces H+ A base produces OHWhat do you get when you combine an acid with a base? NEUTRALIZATION REACTIONS Answer: You get water and a salt. Example: HCl + NaOH H2O + NaCl When you mix an acid and a base, this is called a neutralization reaction. Reminder: Pure water is pH 7 YOU DON’T ALWAYS FULLY NEUTRALIZE When you mix an acid and a base, you don’t produce all water and a salt. For example, if you mix 250mL of 1.5M HCl with 250mL of 1.0M NaOH, will this reaction be fully neutralized? What is the new concentration? ANSWER: NO Since the acid is more concentrated than the base, only part of the acid is neutralized. How do we find out the new concentration of the solution after we mix the acid and base? Step NEUTRALIZATION 1. Find out the moles of HCl 250mL of 1.5M HCl 0.250L | 1.5moles = 0.375 moles HCl 1L Step 2. Find out the moles of NaOH 250mL of 1.0M NaOH 0.250L | 1.0moles = 0.250moles NaOH 1L NEUTRALIZATION Step 3. Figure how much acid or base you have left by subtracting 0.375moles H+ – 0.250 moles OH0.125 moles of HCl were not neutralized Step 4. Figure out the new molarity 0.125 moles is now in 500mL (250mL acid + 250mL of base) 0.125moles/0.500L = 0.25M HCl TRY THIS ONE You mix 300mL of 2.5M HCl with 150mL of 0.75M KOH. What is the acid concentration of the solution? ANSWER Total moles of HCl: 0.300L| 2.5 moles = 0.75moles H+ 1L 0.150L| 0.75 moles = 0.1125moles OH1L 0.75moles – 0.1125 moles = 0.6375 moles 0.6375 moles = 0.450L 1.42M TRY THIS ONE You have 320mL of pH 4.5 solution. If you add 220mL of a 0.0032M solution of sodium hydroxide. What is the new concentration? ANSWER -3 1.29x10 M FULL NEUTRALIZATION Not only can you discover the new concentration, you can also figure out how much of an acid or a base you need to fully neutralize a sample. Remember to fully neutralize a sample, you need to make it pH 7. This means all the H+ reacts with all of the OH- EXAMPLE You have 25.00mL of 3.2M HCl. How much 1.0M NaOH do you have to add to make the solution fully neutral? Step 1. Find out how much H+ you have 0.025L | 3.2moles = 0.080moles H+ 1L Therefore you need 0.080 moles OH- to fully neutralize ANSWER Step 2. How much NaOH do you need to add? 0.080 moles | Final 1L = .080L 1 mole answer: You need to add 80mL of 1.0M NaOH to fully neutralize 25.00mL of 3.2M HCl. SHORTCUT Since you are doing a full neutralization, you can also use the dilution formula: V1M1 = V2M2 Try out the previous problem to see if you get the same answer. NOTE: This only works on FULL neutralization TRY THIS You start with 250mL of a 0.50M HCl solution. How much 5.0M NaOH do you have to add to the solution to completely neutralize it? LAST THING How do we calculate an unknown concentration of an acid or base by using a known concentration To do this, you need to find the point where the acids and bases completely cancel out You can do this using pH indicators DEFINITIONS Titration: process in which an acid-base neutralization reaction is used to determine the concentration of a solution of unknown concentration. Equivalence point: the point at which the moles of H+ from an acid equals the moles of OH- from a base. End point: point in a titration when an indicator changes color EXAMPLE You start with 350mL of HCl. If you titrate this with 235mL of 2.0M NaOH, what is the concentration of your starting HCl? Step1: Find the moles of OH- used. .235L | 2.0moles = 0.47moles OH1L EXAMPLE Step 2: Determine the concentration of acid 0.47 moles OH- = 0.47moles H+ 0.47 moles H+ = 1.3M HCl 0.350L SHORTCUT A titration is another example of a full neutralization You can again use the dilution formula to solve V1M1 Try = V2M2 the previous problem to see if you get the same answer BRONSTED-LOWRY ACIDS With our current definition of acids and bases, we have some problems For example: NH3 (ammonia) and Na2CO3 (sodium carbonate) both can act as bases Yet, neither can donate a hydroxide (OH-) ion How can we explain this? BRONSTED-LOWRY ACIDS A Danish chemist (Johannes Bronsted) and an English chemist (Thomas Lowry) came up with a more inclusive definition Bronsted-Lowry acid: a compound that is able to donate a hydrogen ion (H+) Bronsted-Lowry base: a compound that is able to accept a hydrogen ion (H+) EXAMPLE H2O + H2O H3O+ + OH- This water will accept the H+. Therefore it is the base. This water will donate the H+. Therefore it is the acid. LET’S LOOK AT OUR ORIGINAL EXCEPTIONS NH3 (ammonia) and Na2CO3 (sodium carbonate) both act as bases Yet, neither can donate a hydroxide (OH-) ion NH3 + H2O NH4+ + OH- Na2CO3 + H2O NaHCO3 + OH- OBSERVATION You may have also observed that (by this definition) if you start with an acid, you make a base and vice versa. Example HF + H2O H3O+ + FAcid Base OBSERVATION You may also notice that if you have an acid on one side of the reaction, you must also have a base. Example HF Acid + H2O H3O+ + FBase Acid Base CONJUGATE ACID-BASE PAIRS Chemical reactions are reversible so either side can be an acid or base. We call these conjugate acid-base pairs Conjugate acid-base pairs: two substances related to each other by the donating and accepting of a single hydrogen ion GENERAL FORMAT Conjugate base Acid HX + H2O H3O+ + XBase Conjugate acid