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Answer the following in one sentence : Calculate the pH of 0.01 M sulphuric acid.

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Question

Answer the following in one sentence :

Calculate the pH of 0.01 M sulphuric acid.

Numerical
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Solution

Given: Concentration of sulphuric acid = 0.01 M

To find: pH

Formula: pH = `-"log"_10["H"_3"O"^+]`

Calculation:

Sulphuric acid (H2SO4) is a strong acid. It dissociates almost completely in the water as:

\[\ce{H2SO4_{(aq)} + 2H2O_{(l)} -> 2H3O^+_{ (aq)} +  SO^{2-}_{4(aq)}}\]

Hence, [H3O+] = 2 × c = 2 × 0.01 M = 2 × 10-2 M

From formula (i),

pH = -log10[H3O+] = -log10[2 × 10-2] = `-"log"_10"2" - "log"_10"10"^-2`

= `-"log"_10"2" + 2 = 2 - 0.3010`

pH = 1.699

The pH of 0.01 M sulphuric acid is 1.699.

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Chapter 3: Ionic Equilibria - Exercises [Page 61]

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Balbharati Chemistry [English] Standard 12 Maharashtra State Board
Chapter 3 Ionic Equilibria
Exercises | Q 2. vii. | Page 61

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