Chemistry 102 EXPERIMENT 11 Determination of the Equilibrium Constant for a Reaction Background Organic esters are formed in an acid-catalyzed condensation reaction between a carboxylic acid and an alcohol. Water is also produced. The reaction, called Fisher esterification, is an equilibrium process whose equilibrium constant can be calculated if one can determine the equilibrium concentrations of all species. H+ O ' R-COH + R OH alcohol acid O R-C-O-R' + H2O ester In this experiment, we will mix known amounts of the 2 reactants with a catalytic quantity of strong mineral acid. The mixture must be heated to reach equilibrium in a reasonable time. Periodically during the heating, we will withdraw a homogeneous sample of the reaction mixture and will find the concentration of acid in the solution by titration. When the concentration becomes constant (unchanged on 2 successive analyses) we assume the mixture has reached equilibrium. From the results of the titration, we can determine the equilibrium concentration of the carboxylic acid. Knowing all initial reactant concentrations and the equilibrium concentration of one component allows us to calculate all equilibrium concentrations. Then, from the equilibrium expression, we can solve for the equilibrium constant value of the reaction. One simplification makes use of the fact that the reaction mixture's volume is essentially constant during the course of the reaction. Since the stoichiometry shows equal moles of reactants and products, volume cancels from the equilibrium expression. Thus, the Keq expression simplifies to the mole ratio of each component at equilibrium. PROCEDURE: You may work in pairs for this experiment. An individual lab report should be submitted by each student. Part 1: Stock bottles of ~0.2M NaOH will be provided. This base must be standardized. Use potassium hydrogen phthalate, KHC8H4O4 (KHP for short) as the primary standard. KHC8H4O4 (aq) + NaOH (aq) → KNaC8H4O4 (aq) + H2O (l) First, calculate the appropriate mass of KHP required to titrate ~30 mL of the ~0.2M base. Obtain a KHP sample and dissolve it in 25 mL of deionized water. Rinse and fill Los Angeles City College 1 Chemistry 102 a buret with the base and, using phenolphthalein as the indicator, titrate to the endpoint. Repeat for at least 3 good trials. Calculate the molarity of the NaOH solution for each trial then average the values. Part 2: Each pair of students will find an assembled reaction apparatus consisting of a 200-mL roundbottomed flask, a condenser with hoses attached to a water supply, a heating mantle and a power controller. The round-bottomed flask can be removed from the heating mantle by loosing the clamp on its neck and by also lowering the ring supporting the mantle. DO NOT move the condenser or the water hoses! DO NOT turn on the power to the heating mantle until the reactants have been mixed and the flask is secure once more. Pipet into the round-bottomed flask 20.0 mL of ethanol (d=0.789 g/mL, MW = 46.1 g/mol) and 20.0 mL of the glacial acetic acid/H2SO4 mixture (0.20 mL conc. H2SO4 per 20.0 mL mixture; for H2SO4, d=1.84 g/mL and MW=98.1 g/mol). Mix these thoroughly to form a homogeneous solution then immediately pipet 1.00 mL of the mixture into a 125-mL Erlenmeyer flask. Add about 20 mL of deionized water, 2 drops of phenolphthalein indicator and titrate to a pale pink endpoint. Record the volume of base consumed. Add a boiling stone to the liquid in the flask. Attach the round-bottomed flask securely to the bottom of the water-filled condenser, resting on the heating mantle, and turn on the power controller. Heat the flask so that the liquid turns to vapor but the vapor condenses in the bottom third of the condenser and drips back into the flask. This procedure is known as "reflux". Reflux the mixture for 45 minutes. Do not leave the mixture unattended; do not let the water flow through the condenser stop and do not dislodge the drain hose from the sink. During this time, refill the buret and prepare for another titration trial. Then, turn off the power controller and drop the heating mantle. Cool the reaction mixture in an ice bath with the condenser still attached to room temperature. Swirl to mix the mixture then pipet 1.00 mL of the cooled reaction mixture to an Erlenmeyer flask, add indicator, and titrate. Record the base volume consumed. Reflux the reaction mixture for an additional 15 minutes; cool, remove a 1.00-mL aliquot and titrate as before. If the last two base volumes differ by more than 0.50 mL, reflux for an additional 15 minutes then titrate yet again. CALCULATIONS: (Assume that volumes are additive and that, as mentioned before, the total room temperature volume of the reaction mixture does not change during the reaction) Calculate the initial number of moles of ethanol in 1.00 mL of reaction mixture. Also, calculate the number of moles of H+ contributed by H2SO4 in 1.00 mL of reaction mixture (assume both protons are titrated). From the average NaOH molarity and the volume used to titrate the initial 1.00 mL sample of reaction mixture, calcuate the total moles of H+ in the reaction mixture. Subtract the moles Los Angeles City College 2 Chemistry 102 contributed by H2SO4 to find the moles of H+ contributed by acetic acid (or, moles acetic acid initially present). Using the smallest base volume obtained in titrating the refluxed mixture, calculate the total moles H+ at equilibrium and the moles of acetic acid at equilibrium. Use the stoichiometry of the reaction to calculate the equilibrium number of moles of each other participant. Then, calculate the Keq of the reaction. QUESTIONS: 1. Why is it critical to keep water flowing through the condenser during the entire experiment? 2. Estimate the H of this reaction using reference data either from your text or from the CRC Handbook of Chemistry and Physics. Why do we heat the reaction mixture before titrating samples? Will the heating then cooling have any effect on the equilibrium position and on our calculated value for the Keq? 3. Briefly explain why the addition of 20 mL of water to each 1.00-mL of reaction mixture does not affect the volume of NaOH consumed in the titration. 4. What is the purpose of the H2SO4? Why does the H+ contributed by the sulfuric acid remain constant during the reaction while the total moles of H+ decreases? Los Angeles City College 3