ࡱ> '` bjbjLULU .?.?xbbbv****tN+TvjB,,,,,1111119j;j;j;j;j;j;j$ mho_j9b50^1155_j,,j : : :5,R,(b,9j :59j : :RW@"bZ,, 2*7<Xclj0jXRp 9Rp<ZZRpbicd11r2 :34&111111_j_j9111111j5555vvvd&*vvv*vvv Name: __________________________ Date:____________________ Period: ___ Calculating pH Introduction: A water molecule is made up of two hydrogen atoms and one oxygen atom. Because its bent shape, water has a positive end and a negative end, causing the molecule to act like a magnet.  Another quality of water is called dissociation. This property of water is responsible for the formation of acids and bases. In water dissociation, one hydrogen atom breaks away. In pure water there are an equal number of H+ ions and OH- ions. The amount or number of H+ ions to OH- ions determines the pH of a solution or it is acidic, basic or neutral. How does amount of H+ ions and OH- ions relate to pH of a solution? In this worksheet, you will learn to calculate pH by using H+ and OH- concentrations. Then use pH to determine whether the solution is acidic, basic, or neutral. I. Calculation of pH and logarithm The symbol pH is derived from the French for "hydrogen power." The numbers in the pH scale stand for negative logarithms of the concentration of hydrogen ions (H+) expressed in moles per liter of water. pH = - log [H+] Thus a pH of 0 means a hydrogen ion concentration of 1.0 molar or moles per liter, which is one mole. pHConcentration of H+ions in moles per liter01 x 100=1.0molar11 x 10-1=0.1molar51 x 10-5=0.00001molar71 x 10-7=0.0000001molar101 x 10-10=0.0000000001molarSince normal dissociation of water molecules into H+ and OH- yields 10-7 moles of H+, pure water has a pH of 7, the neutral point in the scale. Since the pH scale is logarithmic, a difference in 1 unit is a 10-fold increase or decrease in concentration of hydrogen ions. pH = - log [1 x 10-7 M] = 7 Quick review on logarithm calculation: Table 1: pH for dilution of 1.0 M HCl ConcentrationConcentration in scientific notationpH number1.0 M HCl0.10 M HCl 0.010 M HCl0.0010 M HCl0.00010 M HCl0.000010 M HCl0.0000010 M HCl0.00000010 M HCl0.000000010 M HCl How to use your calculator with science notation: Please be careful when entering scientific notation into your calculatorit is very easy to make a mistake. When entering 3.4 ( 104, first enter 3.4. Then press the button labeled EXP or 10X or EE depending on your calculator. Now enter 4, using the +/ key, not the subtraction key. Never try to enter this number by pressing X and 10 and 4. Arrhenius definition of acid and base: An acid is any substance that adds a hydrogen ion (H+) to the solution. HA = H+ + A Example: HCl = H+ + Cl- A base is any substance that adds a hydroxide ion (OH) to the solution. XOH = X+ + OH Example: NaOH = Na+ + OH- On the previous page, we were calculate the pH of an acid but what about base? Lets explore the relationship between pH, pOH, [H+], and [OH]. How are pH and pOH related to each other? The relationship between [H+] and [OH] in a solution is expressed by the following: log [H+] + log [OH] = 14 or the relationship between pH and pOH of a solution can be expressed by the following: pH + pOH = 14 Table 2: pH for dilution of 1.0 M NaOH Concentration in scientific notationpOH numberpH number1.0 M NaOH0.10 M NaOH0.010 M NaOH0.0010 M NaOH0.00010 M NaOH0.000010 M NaOH0.0000010 M NaOH0.00000010 M NaOH Table 3: pH for household products (please complete) SubstanceAcidic or Basic?pH[H+] (in decimal)[H+] (in scientific notation)1 M HClStomach acid (0.1 M HCl)Acidic0.1 M1.0 ( 101 MClear Soda30.001 MRain WaterAcidic1.0 ( 106 MDistilled Water70.0000001MAlcoholNeutralSalt Water0.0000001 MWashing SodaBasic81.0 ( 108 MAmmonia0.0000000001 M1.0 ( 1010 MDrain Cleaner (0.1 M NaOH)131 M NaOH1.0 ( 10-14 M Questions: What is the pH of a solution with a hydrogen ion concentration of 1.0 x 10-4 M? _________ What is the pH of a solution with a hydrogen ion concentration of 1.0 ( 108 M? _________ Lemon juice has a pH of about 2. What does this tell you about what is in the solution? ________ What do you think pH really represents? ______________________________________________ How does the high concentration of hydrogen ion relate to the pH of the solution? _______________________________________________________________________________ What is the pH of a solution with [OH] = 1.0 ( 1012 M? ________ Fill in the blank and show pH relates to the concentrations of acidic and basic solutions. Use either low or high in the blanks. Acid solutions have _______ concentration of hydrogen ions therefore they have a _______ pH number whereas base solutions have ________ concentration of hydrogen ions therefore they have a ______ pH number. Brnsted-Lowry definitions for acid and base An acid is a substance from which a proton can be removed. A base is a substance that can remove a proton from another substance. H2O (l) = H+(aq) + OH NH3 (aq) + H2O (l) = NH4+ (aq) + OH (aq) (base) (acid) pH Calculations Problems Fill in the blank The definition of pH is pH is equal to the negative log (logarithm) of the ____________ ion concentration of a solution. A pH value of less than 7 indicates a(n) _______________ solution. A pH value of _____ indicates a neutral solution. A pH value of more than 7 indicates a(n) _______________ solution. PROBLEMS: Show all work and circle the final answer. 1. Determine the pH of a 0.010 M HNO3 solution. 2. What is the pH of a 1.0 x 10-6 M solution of HCl? 3. Calculate the pH of a solution of 0.0001M H2SO4. 4. Calculate the pH of a 0.0010 M NaOH solution. 5. What is the pH of a 0.10M LiOH solution? 6. a) What is the hydrogen ion concentration of an aqueous HCl solution that has a pH of 3.0? b) What is the hydroxide ion concentration of this same solution? c) Which ion, H+ or OH-, is in greater concentration? ____________ d) Is this solution acidic or basic? _____________ 7. Find the [H+] and the [OH-] of a solution with a pH of 4.0. 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