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Aim # 30: What is the pH of a solution?

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1 Aim # 30: What is the pH of a solution?
H.W. # 30 Study pp Study class notes Ans. ques. p. 534 # 52, p. 533 # 30a,c d c,d and 34a,b

2 I The pH scale 0 7 14 increasing acidity neutral increasing basicity
The pH of a solution indicates the concentration of hydrogen ions in the solution. If pH < solution is acidic If pH = solution is neutral If pH > solution is basic

3 Some pH values of common liquids
lemon juice vinegar carbonated drinks grapefruit juice orange juice tomato juice rainwater milk pure water blood seawater milk of magnesia

4 II The autoionization of water
H2O(l) H+(aq) + OH-(aq) If OH- ions are added to the water, how would the equilibrium be affected? How would [H+] be affected? If H+ ions are added instead, how would [OH-] be affected? Keq = [H+][OH-] [H2O] What is the molar concentration of H2O?

5 Keq x [H2O] = [H+][OH-] Kw
Kw = [H+][OH-] = 1.0 x 10-14 What is the value of [H+] in pure water? [OH-]? [H+] = [OH-] = 1.0 x 10-7 mol/L in pure H2O at 250C. If [H+] > 1.0 x the solution is acidic. What does this imply about [OH-]? If [H+] > [OH-] (acidic) If [OH-] > [H+] (basic)

6 Ans. [H+] = 4.00 x 10-3 [OH-] = Kw/[H+] = 1.00 x 10-14 4.00 x 10-3
Problem: The [H+] of a solution is 4.00 x 10-3M What is [OH-]? Is the solution acidic, neutral, or basic? Ans. [H+] = 4.00 x [OH-] = Kw/[H+] = x x 10-3 [OH-] = x mol/L = 2.50 x 10-12mol/L [H+] > 1.00 x 10-7 > [OH-] Therefore, the solution is acidic.

7 Problem: The [OH-] of a solution is 1. 25 x 10-9M. Calculate [H+]
Problem: The [OH-] of a solution is 1.25 x 10-9M. Calculate [H+] Is the solution acidic, neutral, or basic? Ans. [H+] = Kw/[OH-] = 1.00 x x [H+] = 8.00 x 10-6 > 1.00 x 10-7 mol/L The solution is acidic.

8 Problem: If [H+] is 6.2 x 10-8, what is the [OH-]?
Ans. [OH-] = Kw/[H+] = 1.0 x x [OH-] = .16 x 10-7 = 1.6 x 10-8 mol/L

9 III pH is the negative logarithm of the hydrogen ion concentration of a solution pH = - log [H+] or [H+] = 10-pH Problem: If [H+] of a solution is 1.0 x 10-5, what is the pH of the solution? Is it acidic, neutral, or basic? Ans: pH = - log [H+] pH = - log (1.0 x 10-5) pH = - (log log 10-5) pH = - ( ) pH = pH < The solution is acidic.

10 Problem: What is the hydrogen ion concentration of a solution with a pH of 9?
Ans: pH = - log [H+] = log [H+] = [H+] = 10-9 = 1.0 x 10-9 mol/L Problem: What is the pH of a solution in which [H+] = 3.0 x 10-10? What is the [OH-]? Ans: pH = -log(3.0 x 10-10) = 9.5 [OH-] = (1.0 x 10-14)/(3.0 x 10-10) [OH-] = 3.3 x 10-5

11 The pH scale pH [H+] [OH-] or or 1

12 Problem: What is the pOH of a 0.10 M solution of NaOH?
IV pOH is the negative logarithm of the hydroxide ion concentration of a solution pOH = - log [OH-] or [OH-] = 10-pOH Problem: What is the pOH of a 0.10 M solution of NaOH? Note: Kw = [H+][OH-] = 1.0 x log kw = log [H+] + log [OH-] = log kw = -log [H+] – log [OH-] = 14 pKw = pH + pOH = 14

13 Problem: The pOH of a solution is 10. What is its pH
Problem: The pOH of a solution is What is its pH? What are the [OH-] and [H+]? Ans: pH = 14 – pOH = 14 – 10 = 4 [OH-] = 1.0 x 10-10M [H+] = 1.0 x 10-4M


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