pH = -log[H+] = -log[H3O+]
[H+] = [H3O+] = 10-pH
[OH-] = Kw / [H3O+]
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1.
pH = 4.18 ==> [H3O+] = 10-4.18 = 0.0000661 = 6.61 x 10-5 M
[OH-] = Kw / [H3O+] = 1.0 x 10-14 / 6.61 x 10-5 M = 1.51 x 10-10 M
[H3O+] = 6.61 x 10-5 M; [OH-] = 1.51 x 10-10 M
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2.
pH = 5.70 ==> [H3O+] = 10-5.70 = 0.0000661 = 1.99 x 10-5 M
[OH-] = Kw / [H3O+] = 1.0 x 10-14 / 1.99 x 10-5 M = 5.01 x 10-9 M
[H3O+] = 1.99 x 10-5 M; [OH-] = 5.01 x 10-9 M
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3.
pH = 8.56 ==> [H3O+] = 10-8.56 = 0.0000661 = 2.75 x 10-9 M
[OH-] = Kw / [H3O+] = 1.0 x 10-14 / 2.75 x 10-9 M = 3.63 x 10-6 M
[H3O+] = 2.75 x 10-9 M; [OH-] = 3.63 x 10-6 M
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2a)
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2b)
M1V1 = M2V2 is our formula
M1 = 0.410 M, V1 = 20.0 mL; M2 = 0.320 M; V2 = ?
V2 = M1V1 / M2 = (0.410 M x 20.0 mL) / 0.320 M = 25.625 mL
Volume of titrant required to reach the equivalence point = 25.625 mL
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2c)
moles [H+] = 20 mL x 10-3 L x 0.410 M = 0.0082 mol
moles [OH-] = 21.50 mL x 10-3 L x 0.320 M = 0.00688 mol
excess [H+] = 0.0082 mol - 0.00688 mol = 0.00132 mol
total volume = 20 + 21.5 = 41.5 mL = 0.0415 L
molarity = 0.00132 mol / 0.0415 L = 0.032 M
[H3O+] = 0.032 M; [OH-] = 3.14 x 10-13; pH = 1.49
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