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Yesterday’s Homework
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The concentration of either the H + ion or the OH - ion is given for three aqueous solutions at 298 o K. For each solution, calculate [H + ] or [OH - ]. State whether the solution is acidic, basic, or neutral.
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Yesterday’s Homework If this wasn’t easy, you’re doing it wrong.
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Yesterday’s Homework [H + ] = 1.0 x 10 -13 M
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Yesterday’s Homework [H + ] = 1.0 x 10 -13 M [OH - ] = 1.0 x 10 -1 M
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Yesterday’s Homework [H + ] = 1.0 x 10 -13 M [OH - ] = 1.0 x 10 -1 M basic
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Yesterday’s Homework [OH - ] = 1.0 x 10 -7 M
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Yesterday’s Homework [OH - ] = 1.0 x 10 -7 M [H + ] = 1.0 x 10 -7 M
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Yesterday’s Homework [OH - ] = 1.0 x 10 -7 M [H + ] = 1.0 x 10 -7 M neutral
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Yesterday’s Homework [OH - ] = 1.0 x 10 -3 M
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Yesterday’s Homework [OH - ] = 1.0 x 10 -3 M [H + ] = 1.0 x 10 -11 M
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Yesterday’s Homework [OH - ] = 1.0 x 10 -3 M [H + ] = 1.0 x 10 -11 M basic
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Yesterday’s Homework Any questions?
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Daily Quiz Questions
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1. What is true of [H + ] and [OH - ]? a. [H + ] = [OH - ] b. [H + ] x [OH - ] = 1 x 10 -7 c. [H + ] ÷ [OH - ] = 1 x 10 -7 d. [H + ] x [OH - ] = 1 x 10 -14 e. [H + ] ÷ [OH - ] = 1 x 10 -14
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Daily Quiz Questions 2. In a neutral solution, pH = a. 0 b. 0.5 c. 1 d. 7 e. 14
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Daily Quiz Questions 3. 1 x 10 -5 = ? a. 5 b. 100,000 c. 0.000,01 d. 0.000,001
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Daily Quiz Questions 4. Which number is bigger? a. 1 x 10 -2 b. 1 x 10 -6.
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Daily Quiz Questions 1. What is true of [H + ] and [OH - ]? a. [H + ] = [OH - ] b. [H + ] x [OH - ] = 1 x 10 -7 c. [H + ] ÷ [OH - ] = 1 x 10 -7 d. [H + ] x [OH - ] = 1 x 10 -14 e. [H + ] ÷ [OH - ] = 1 x 10 -14
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Daily Quiz Questions 1. What is true of [H + ] and [OH - ]? a. [H + ] = [OH - ] b. [H + ] x [OH - ] = 1 x 10 -7 c. [H + ] ÷ [OH - ] = 1 x 10 -7 d. [H + ] x [OH - ] = 1 x 10 -14 e. [H + ] ÷ [OH - ] = 1 x 10 -14
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Daily Quiz Questions 2. In a neutral solution, pH = a. 0 b. 0.5 c. 1 d. 7 e. 14
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Daily Quiz Questions 2. In a neutral solution, pH = a. 0 b. 0.5 c. 1 d. 7 e. 14
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Daily Quiz Questions 3. 1 x 10 -5 = ? a. 5 b. 100,000 c. 0.000,01 d. 0.000,001
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Daily Quiz Questions 3. 1 x 10 -5 = ? a. 5 b. 100,000 c. 0.000,01 d. 0.000,001
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Daily Quiz Questions 4. Which number is bigger? a. 1 x 10 -2 b. 1 x 10 -6
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Daily Quiz Questions 4. Which number is bigger? a. 1 x 10 -2 b. 1 x 10 -6
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Logarithms
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The logarithm of a number is the number of times 10 must be multiplied by itself to equal that number.
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Logarithms 1000 = 10 x 10 x 10 log 1000 = 3
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Logarithms To find the logarithm of a number, count the zeroes or, if the number is in scientific notation, look at the exponent.
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Logarithms 1 = 1 x 10 0 10 = 1 x 10 1 100 = 1 x 10 2 0.1 = 1 x 10 -1 0.01 = 1 x 10 -2 log 1 = 0 log 10 = 1 log 100 = 2 log 0.1 = -1 log 0.01 = -2
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Logarithms
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You can multiply two numbers by adding their logarithms.
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Logarithms You can multiply two numbers by adding their logarithms. 100 x 1000 = 100,000
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Logarithms You can multiply two numbers by adding their logarithms. 100 x 1000 = 100,000 2 + 3 = 5
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Logarithms You can multiply two numbers by adding their logarithms. 1 x 10 8 = 100,000,000
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Logarithms You can multiply two numbers by adding their logarithms. 1 x 10 8 = 100,000,000 0 + 8 = 8
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Logarithms You can multiply two numbers by adding their logarithms. 2 x 10 8 = 200,000,000 ? + 8 = ?
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Logarithms So what’s the logarithm of 2? You have to look it up. 2 x 10 8 = 200,000,000 ? + 8 = ?
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Logarithms So what’s the logarithm of 2? You have to look it up. 2 x 10 8 = 200,000,000 0.301 + 8 = 8.301
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Logarithms What if the number is small instead of big?
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Logarithms What if the number is small instead of big? 0.0003 = 3 x 10 -4
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Logarithms What if the number is small instead of big? 0.0003 = 3 x 10 -4 log 0.0003 = log 3 + log 10 -4
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Logarithms What if the number is small instead of big? 0.0003 = 3 x 10 -4 log 0.0003 = log 3 + log 10 -4 = 0.477 – 4
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Logarithms What if the number is small instead of big? 0.0003 = 3 x 10 -4 log 0.0003 = log 3 + log 10 -4 = 0.477 – 4 = -3.523
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Logarithms You can find the logarithm of any number by pressing the “log” key on a calculator…
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Logarithms You can find the logarithm of any number by pressing the “log” key on a calculator… but
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Logarithms You can find the logarithm of any number by pressing the “log” key on a calculator… but …if you don’t understand what the calculator is doing, the information is useless to you.
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Logarithms Try a few!
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Logarithms log 10 3 =
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Logarithms log 10 3 = 3
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Logarithms log 10 8 =
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Logarithms log 10 8 = 8
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Logarithms log 10 -10 =
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Logarithms log 10 -10 = -10
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Logarithms log 2 =
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Logarithms log 2 = 0.301
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Logarithms log 5.8 =
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Logarithms log 5.8 = 0.763
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Logarithms log 9.2 =
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Logarithms log 9.2 = 0.963
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Logarithms log 4 x 10 12 =
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Logarithms log 4 x 10 12 = 0.602 + 12
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Logarithms log 4 x 10 12 = 12.602
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Logarithms log 8.3 x 10 5 =
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Logarithms log 8.3 x 10 5 = 0.919 + 5
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Logarithms log 8.3 x 10 5 = 5.919
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Logarithms log 7.1 x 10 -3 =
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Logarithms log 7.1 x 10 -3 = 0.851 - 3
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Logarithms log 7.1 x 10 -3 = -2.149
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Logarithms log 4.8 x 10 -11 =
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Logarithms log 4.8 x 10 -11 = 0.681 - 11
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Logarithms log 4.8 x 10 -11 = -10.319
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pH pH = -log [H + ] pOH = -log [OH - ] pH + pOH = 14
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[H + ] = 0.0035 What is the pH? What is the pOH? Is it acidic or basic?
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[H + ] = 0.0035
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0.0035 = 3.5 x 10 -3
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[H + ] = 0.0035 0.0035 = 3.5 x 10 -3 log 0.0035 = log 3.5 + log 10 -3
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[H + ] = 0.0035 0.0035 = 3.5 x 10 -3 log 0.0035 = log 3.5 + log 10 -3 = 0.544 – 3
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[H + ] = 0.0035 0.0035 = 3.5 x 10 -3 log 0.0035 = log 3.5 + log 10 -3 = 0.544 – 3 = –2.456
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[H + ] = 0.0035 0.0035 = 3.5 x 10 -3 log 0.0035 = log 3.5 + log 10 -3 = 0.544 – 3 = –2.456 pH = 2.456
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[H + ] = 0.0035 pH = 2.456 pOH = 14 – 2.456 = 11.544 The solution is acidic.
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Homework Page 611 # 19 Page 612 # 20
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