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Entry Task: Feb 25 th Monday. Sign off on Ch. 17 Review ws Break out Practice multiple choice test Review Ch. 16-17 part 1. I can…. Explain and calculate the common ion effect. Describe how a buffer system works and calculate the pH changes. Explain and calculate acid-base titrations
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Entry Task: Feb 25th Monday Sign off on Ch. 17 Review ws Break out Practice multiple choice test Review Ch. 16-17 part 1
I can… • Explain and calculate the common ion effect. • Describe how a buffer system works and calculate the pH changes. • Explain and calculate acid-base titrations • Plot data to provide a titration curve and identify what types of acid-base solutions they are.
1. A 0.10 M solution of lactic acid (HC3H5O3) has a pH of 2.44. Calculate Ka for lactic acid. 10-2.44 = [H+] = 3.6 x 10-3 = [OH-] (3.6 x 10-3)2 = 0.10 1.3 x 10-4 = Ka
2. A 0.200 M solution of a weak acid HX is 9.4% ionized. Calculate the pH and Ka for this acid. = 0.019 M 0.200M=[H+] X 0.094 -log = pH=1.72 (0.019)2 = 0.200-0.019M = 2.0 x 10-3 = Ka
3. Calculate the pH of a 0.050 M solution of ethylamine (C2H5NH2, Kb= 6.4 x10–4). Kb= 6.4 x 10-4 (x)2 = 0.050 (0.050)(6.4 x 10-4)=x2 x = 5.7 x 10-3 of OH pOH = 2.25 – 14 = pH= 11.75
4. The Ka for hydrocyanic acid, HCN, is 5.0 x10–10. What is the Kb for CN–? 1.0 x 10-14 = 5.0 x 10-10 2.0 x 10-5
5. Hydrosulfuric acid is a polyprotic acid with the following equilibria: a) Calculate the pH of a 0.100 M H2S solution. b) Calculate the [S2–] for the solution above. (x)2 = 0.100 1.1 x 10-7 pH= 4.00 [H+]= 1.05 x 10-4 Ka2 = 1.2 x 10-13 is the concentration of S2- ions
6. Sodium benzoate, C6H5CO2Na, is the salt of the weak acid, benzoic acid (C6H5CO2H). A 0.10 M solution of sodium benzoate has a pH of 8.60 at room temperature. a) Calculate the Kb value for benzoate ion (C6H5CO2–). b) Calculate the Ka value for benzoic acid. 8.60 – 14 = pOH= 5.4 10-5.4 = 4.0 x10-6 = [OH-] (4.0 x 10-6)2 0.10 Kb= 1.6 x 10-10 1.0 x 10-14 1.6 x 10-10 Ka= 6.3 x 10-5
7. Potassium sorbate (KC6H7O2) is the salt of the weak acid, sorbic acid (HC6H7O2, Ka = 1.7x10–5), and is commonly added to cheese to prevent mold. What is the pH of a solution containing 4.93 g of potassium sorbate in 500 mL of solution? = 0.0657 M / 0.5 L 4.93 g/150 g = 0.0328 1.0 x 10-14 / 1.7 10-5 = Kb = 5.9 10-10 (x)2 0.0657 = 5.9 10-10 x2= 3.88 10-10 x= 6.2 x10-6 pOH= 5.2 – 14 pH= 8.8
8. A buffer is prepared by adding 20.0 g of acetic acid (HC2H3O2) and 20.0 g of sodium acetate (NaC2H3O2) in enough water to prepare 2.00 L of solution. Calculate the pH of this buffer? (Ka = 1.8x10–5) = 1.67 x 10-1 M Acetic acid 20.0g/60 g = 0.33 mole / 2 L = 1.22 x 10-1 M Na2C2H3O2 20.0g/82 g = 0.244 mole / 2 L 1.22 x 10-1 1.67 x 10-1 = 0.73 = -log = -0.136 pH = 4.6 + (-0.136) pH= 4.6
9. What is the ratio of HCO3– to H2CO3 in blood of pH 7.4? (Kafor H2CO3 = 4.3x10–7) [HCO3] [H2CO3] 7.4 = 6.37 10-1.03 = 11 : 1
11. Acetylsalicylic acid (aspirin, HC9H7O4) is a weak acid with Ka = 2.75x10–5 at 25°C. 3.00 g of sodium acetylsalicylate (NaC9H7O4) is added to 200.0 mL of 0.100 M solution of this acid. Calculate the pH of the resulting solution at 25°C. 3.00g / 201.99g = 1.49 x 10-2 0.200 = 7.4 x 10-2 7.4 x 10-2(x) 0.100 = 2.75 x 10-5 x = 3.7 x 10-5 pH= 4.42
12. The equations and dissociation constants for three different acids are given below: Identify the conjugate pair that is best for preparing a buffer with a pH of 7.2. Clearly explain your choice. pH = 6.4 pH = 7.2 ** pH = 1.9 Because it’s the closest to the Ka expression
13. A buffer solution is prepared by adding 0.10 L of 2.0 M acetic acid solution to 0.10 L of 1.0 M NaOH solution. Ka= 1.7 x10-5 Calculate the pH of this buffer solution. (10 ml)(2.0) = 20 mmol acetic acid (10 ml)(1.0) = 10 mmolNaOH 10 mmol 20 ml = 0.50 mmol of [H+] left over AND 0.50 mmol of [C2H3O2-] pH = 4.77 + (0) pH= 4.7
14. A 10.0 mL solution of 0.100 M NH3 (Kb = 1.8x10–5) is titrated with a 0.100 M HCl solution. Calculate the pH of this solution at equivalence point. (10 ml)(0.100M) = 1.0 mmol NH3 (10 ml)(0.100M) = 1.0 mmolHCl 1.0 mmol / 20.0 ml = 0.05 mmol of NH3 1.0 mmol / 20.0 ml = 0.05 mmol of HCl Assume all the HCl and NH3react to form NH4Cl, then some of the NH4+ hydrolyzes back to ammonia. 1.0 x 10-14 / 1.8 x 10-5 = Kb = 5.6 x 10-10
14. A 10.0 mL solution of 0.100 M NH3 (Kb = 1.8x10–5) is titrated with a 0.100 M HCl solution. Calculate the pH of this solution at equivalence point. Assume all the HCl and NH3react to form NH4Cl, then some of the NH4+ hydrolyzes back to ammonia. 1.0 x 10-14 / 1.8 x 10-5 = Kb = 5.6 x 10-10 (x)2 0.050 = 5.6 10-10 x2= 2.8 10-11 x= 5.3 x10-6 pH= 5.28
15. A sample of 25.0 mL of 0.100 M solution of HBr is titrated with 0.200 M NaOH. Calculate the pH of solution after 10.0 mL of the base is added. (25 ml)(0.100 M) = 2.5 mmol of HBr (10 ml)(0.200 M) = 2.0 mmol of NaOH This means there is 0.50 mmol of [H+] left over 0.50 mmol/ 35 mls of solution [H+]= 1.4 10-2 pH= 1.85
16. A 10.0mL solution of 0.300 M NH3 is titrated with a 0.100 M HCl solution. Calculate the pH after the following additions of the HCl solution: Kb=1.8 x10-5 (a) 0.0 mL (x)2 0.300 = 1.8 10-5 x2= 5.4 10-6 x= 2.3 x10-3 pOH= 2.6 – 14 = pH 11.4
16. A 10.0mL solution of 0.300 M NH3 is titrated with a 0.100 M HCl solution. Calculate the pH after the following additions of the HClsolution: Kb=1.8 x10-5 (b) 10.0 mL (10 ml)(0.300 M) = 3.0 mmol of NH3 (10 ml)(0.100 M) = 1.0 mmol of HCl This means there is 2.0 mmol of [NH3] left over in 20 mls of solution [NH3]= 1.0 10-1 M This means there is 1.0 mmol of [NH4+] left over in 20 mls of solution [NH4+]= 5.0 10-2 M
16. A 10.0mL solution of 0.300 M NH3 is titrated with a 0.100 M HCl solution. Calculate the pH after the following additions of the HClsolution: Kb=1.8 x10-5 (b) 10.0 mL [NH3]= 1.0 10-1 M [NH4+]= 5.0 10-2 M We need the Ka value from the conjugate acid 1.0 x 10-14 / 1.8 x 10-5 = 5.6 x 10-10 [1.0 10-1] [5.0 10-2] pH= 9.25 + log pH= 9.55
16. A 10.0mL solution of 0.300 M NH3 is titrated with a 0.100 M HCl solution. Calculate the pH after the following additions of the HCl solution: (c) 30.0 mL (10 ml)(0.300 M) = 3.0 mmol of NH3 (30 ml)(0.100 M) = 3.0 mmol of HCl This means there is 3.0 mmol of [NH4+] left over in 40 mls of solution [NH4+]= 7.5 10-2 M
16. A 10.0mL solution of 0.300 M NH3 is titrated with a 0.100 M HCl solution. Calculate the pH after the following additions of the HClsolution: Kb=1.8 x10-5 (c) 30.0 mL [NH4+]= 7.5 10-2 M We need the Ka value from the conjugate acid 1.0 x 10-14 / 1.8 x 10-5 = 5.6 x 10-10 [x]2 [7.5 10-2] = 5.6 x 10-10 x2= 4.2 10-11 x= 6.48 x10-6 pH= 5.19
17. A 45.0mL sample of 0.200 M acetic acid is titrated with 0.180 M NaOH. Calculate the pH of the solution. Ka= 1.7 x 10-5 (a) before addition of NaOH, (x)2 0.200 = 1.7 10-5 x2= 3.4 10-6 x= 1.8 x10-3 = pH 2.73
17. A 45.0mL sample of 0.200 M acetic acid is titrated with 0.180 M NaOH. Calculate the pH of the solution. Ka= 1.7 x 10-5 (b) after addition of 20.0 mL of NaOH (45.0 ml)(0.200 M) = 9.0 mmol of acetic acid (20 ml)(0.180 M) = 3.6 mmol of NaOH This means there is 5.4 mmol of [Acetic acid] left over in 65 mls of solution [Acetic acid]= 8.3 10-2 M This means there is 3.6 mmol of [C2H3O2-] left over in 65 mls of solution [C2H3O2-]= 5.5 10-2 M
17. A 45.0mL sample of 0.200 M acetic acid is titrated with 0.180 M NaOH. Calculate the pH of the solution. Ka= 1.7 x 10-5 (b) after addition of 20.0 mL of NaOH [Acetic acid]= 8.3 10-2 M [C2H3O2-]= 5.5 10-2 M Ka value 1.7 x 10-5 [5.5 10-2] [8.3 10-2] pH= 4.77 + log pH= 4.59
17. A 45.0mL sample of 0.200 M acetic acid is titrated with 0.180 M NaOH. Calculate the pH of the solution (c) at the equivalence point. (45 ml)(0.200 M) = (x)(0.180M) This means that there is 50 mls of base needed (45.0 ml)(0.200 M) = 9.0 mmol of acetic acid (50 ml)(0.180 M) = 9.0 mmol of NaOH This means there is 9.0 mmol of [C2H3O2-] left over in 95 mls of solution [C2H3O2-]= 9.47 x 10-2 M
17. A 45.0mL sample of 0.200 M acetic acid is titrated with 0.180 M NaOH. Calculate the pH of the solution (c) at the equivalence point. [C2H3O2-]= 9.47 x 10-2 M We need the Kb value from the conjugate base 1.0 x 10-14 / 1.7 x 10-5 = 5.88 x 10-10 [x]2 ___ [9.47 x 10-2 ] x2= 5.57 10-11 = 5.88 x 10-10 x= 7.46 x10-6 pOH= 5.13 – 14 = pH = 8.87
19. What is the pH of a sodium formate (NaCHO2) solution prepared by adding 0.680 grams of sodium formate to 100.0 ml of water at 25.0 oC? The Ka at 25ºC for formic acid 1.8 x 10-4 First you should realize that NaCHO2 is a salt that dissolves in water to give Na+1 ions that have no effect on pH and CHO2-1ions that are a weak base. Write an equation for the ionization of CHO2-1ions. CHO2-1+ H2O ←→ HCHO2 + OH-1 Calculate the concentration of NaCHO2 (0.68 g * 1mole/68 g = 0.01 moles/0.10 L = 0.10M) which is equal to the concentration of CHO2-1 ions. Then make an ICE-box. Then write an equilibrium expression Ka = [CHO2-1] / [HCHO2] [OH-1] Unfortunately you are only given the Kafor HCHO2 = 1.8 x 10-4 so you must solve for Kb of CHO2-1 with the equation Ka * Kb = Kw Thus Kb = 5.56 x 10-11 So 5.56 x10-11 = x2 / 0.1 Solve for x = [OH-1] = 2.36 x 10-6 M. So pOH = 5.63 and pH = 8.37