Question:

Acetic acid dissociates 1.3%. What will be the pH of \(\frac {N}{10}\) solution of the acid.

Updated On: Aug 16, 2024
  • 2.886
  • 2.066
  • 1.3
  • 2.086
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The Correct Option is A

Solution and Explanation

\(\begin{matrix}CH_{3}COOH&\rightleftharpoons&CH_{3}COO^{-}&+\,H^{+}\,\left(\text{weak acid}\right)\\ C&&0&0\,\left(\text{initially}\right)\\ C\left(1-\alpha\right)&&C\alpha&C\alpha\,\left(\text{at equilibrium}\right)\end{matrix}\) 
Given, concentration \(\left(C\right)=\frac{N}{10}\) 
degree of dissociation \(\left(\alpha\right)=\frac{1.3}{100}\)
\(\left[H^{+}\right]=\) Concentration \(\left(C\right) ×\) degree of 
dissociation \(\left(α\right)\)
\(\left[H^{+}\right]=\frac{1.3}{100}\times\frac{1}{10}=1.3 \times 10^{-3}\) 
Thus, \(pH=-log\left[H^{+}\right]\)
\(=-log\left(1.3 \times 10^{-3}\right)\)
\(=-log\left(0.0013\right)\)
\(=-\left(-2.88\right)=2.88\)

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Concepts Used:

Acids and Bases

Acid is any hydrogen-containing substance that is capable of donating a proton (hydrogen ion) to another substance. Base is an ion or molecule capable of accepting a hydrogen ion from acid. 

Physical Properties of Acids and Bases

Physical PropertiesACIDSBASES
TasteSourBitter
Colour on Litmus paper Turns blue litmus redTurns red litmus blue
Ions produced on dissociationH+OH-
pH<7 (less than 7)>7 (more than 7)
Strong acidsHCl, HNO3, H2SO4NaOH, KOH
Weak AcidsCH3COOH, H3PO4, H2CO3NH4OH

Chemical Properties of Acids and Bases

Type of ReactionAcidBases
Reaction with Metals

Acid + Metal → Salt + Hydrogen gas (H2)

E.g.,

Zn(s)+ dil. H2SO4 → ZnSO(Zinc Sulphate) + H2

Base + Metal → Salt + Hydrogen gas (H2)

E.g.,

2NaOH +Zn → Na2ZnO2 (Sodium zincate) + H2

Reaction with hydrogen carbonates (bicarbonate) and carbonates

Metal carbonate/Metal hydrogen carbonate + Acid → Salt + Carbon dioxide + Water

E.g., HCl+NaOH → NaCl+ H2O

2. Na2CO3+ 2 HCl(aq) →2NaCl(aq)+ H2O(l) + CO2(g)

3. Na2CO3+ 2H2SO4(aq) →2Na2SO4(aq)+ H2O(l) + CO2(g)

4. NaHCO3+ HCl → NaCl+ H2O+ CO2

Base+ Carbonate/ bicarbonate → No reaction
Neutralisation Reaction

Base + Acid → Salt + Water

E.g., NaOH(aq) + HCl(aq) → NaCl(aq) + H2O(l)

Base + Acid → Salt + Water

E.g., CaO+ HCl (l) → CaCl2 (aq)+ H2O (l)

Reaction with Oxides

Metal oxide + Acid → Salt + Water

E.g., CaO+ HCl (l) → CaCl2 (aq)+ H2O (l)

Non- Metallic oxide + Base → Salt + Water

E.g., Ca(OH)2+ CO2 → CaCO3+ H2O

Dissolution in Water

Acid gives H+ ions in water.

E.g., HCl → H+ + Cl-

HCl + H2O → H3O+ + Cl–

Base gives OH- ions in water.

Read more on Acids, Bases and Salts