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Derive the relation pH + pOH = 14.

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Questions

Derive the relation pH + pOH = 14.

Derive the relationship between pH and pOH.

Derivation
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Solution

Relationship between pH and pOH:

The ionic product of water is given as:

Kw = [H3O+][OH]

Now, K= 1 × 10−14 at 298 K

Thus, [H3O+][OH-] = 1 × 10−14

Taking the logarithm of both the sides, we write

log10[H3O+] + log10[OH-] = -14

-log10[H3O+] + {-log10[OH-]} = 14

Now, pH = -log10[H3O+] and pOH = -log10[OH-]

∴ pH + pOH = 14

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Chapter 3: Ionic Equilibria - Exercises [Page 62]

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Balbharati Chemistry [English] Standard 12 Maharashtra State Board
Chapter 3 Ionic Equilibria
Exercises | Q 3. vii. | Page 62
Balbharati Chemistry [English] Standard 12 Maharashtra State Board
Chapter 3 Ionic Equilibria
Exercises | Q 4. ii. c. | Page 62

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