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1.

Classify the following into Lewis acids and bases : CN-,Cl- ,S2-,Cu++, H2O,OH-,BF3, Ag+.

Answer»

(1) Lewis acid :

Cu++, BF3, Ag+

(2) Lewis bases : 

CN-,Cl-,S2-, OH-.

2.

Why is KCl solution neutral to litmus?

Answer»

1. Since KCl is a salt of strong base KOH and strong acid HCl, it does not undergo hydrolysis in its aqueous solution. 

2. Due to strong acid and strong base, concentrations [H3O+] = [OH-] and the solution is neutral.

3.

Which of the following is a strong electrolyte ? HF, AgCl, CuSO4, CH3COONH4, H3PO4.

Answer»

CH3COONH4 is a strong electrolyte since in aqueous solution it dissociates completely. Sparingly soluble salts AgCl, CuSO4 are also strong electrolytes.

4.

A salt of strong acid and strong base does not undergo hydrolysis. Explain.OR An aqueous solution of sodium chloride is neutral. Explain.

Answer»

(1) Sodium chloride is a salt of strong acid HCl and strong base NaOH.

(2) In water, it reacts forming HCl and NaOH.

(3) As both are strong, they dissociate almost completely to liberate H+ and OH- ions, respectively.

(4) H+ and OH- ions combine together to form weakly dissociating H2O. As there are no free H+ ions and OH- ions, the solution is neutral and the salt does not undergo hydrolysis.

NaCl + H2O ⇌ NaOH + HCl

Ionic equation :

Na+ + Cl- +H2O ⇌ Na+ + OH- + H+ + Cl-

H2O ⇌ H+ + OH-

Since the solution contains equal number of H+ and OH- ions, it is neutral.

Hence the salt of strong acid and strong base does not undergo hydrolysis.

5.

Define hydrolysis.

Answer»

Hydrolysis : A reaction in which the cations or anions or both the ions of a salt react with water to produce acidity or basicity or sometimes neutrality is called hydrolysis.

6.

An aqueous solution of which of the following salts is basic? (a) CH3COONa (b) NH4Cl (c) KNO3(d) CuSO4

Answer»

(A) \(CH_3 COONa\)

The solution of salts of weak acid and strong base are basic in nature.

Here, \(CH_3 COONa\) is salts of weak acid (\(CH_3COOH\)) and strong base \((NaOH)\).

Therefore, its aqueous solution is basic in nature.

Option : (a) CH3COONa

7.

Which of the following salts does not hydrolyse in water? (a) Sodium acetate (b) Sodium carbonate (c) Sodium nitrate (d) Sodium cyanide

Answer»

(C) Sodium nitrate

Only salts of (weak acid + strong base) and (strong acid + weak base) get hydrolysed and show alkalinity or acidity in water. salt of strong acid and strong base does not get hydrolysed in water.

Here, sodium acetate (\(CH_3COONa\)) (weak acid + strong base)

Sodium carbonate (strong acid + weak base)

Sodium cyanide (\(NaCN\)), (strong base + weak acid)

While - Sodium nitrate is salt of strong base and strong acid.

Therefore, it does not get hydrolyse in water.

Option : (c) Sodium nitrate

8.

Give examples of : (a) strong acids and strong bases, (b) weak acids and bases.

Answer»

(a) Strong acids :

HCl, H2SO4

Strong bases : 

NaOH, KOH

(b) Weak acids : 

HCOOH, CH3COOH

Weak bases : 

NH4OH, C2H5NH2

9.

Classify the following buffers into different types :a. CH3COOH + CH3COONab. NH4OH + NH4Clc. Sodium benzoate + benzoic acidd. Cu(OH)2 + CuCl2

Answer»

(a) Acidic buffer (CH3COOH + CH3COONa) 

(b) Basic buffer (NH4OH + NH4Cl) 

(c) Acidic buffer (Sodium benzoate + benzoic acid) 

(d) Basic buffer (Cu(OH)2 + CuCl2

[Note : Cu(OH)2 being insoluble is not used to prepare a buffer solution.]

10.

What are the types of electrolytes?

Answer»

There are two types of electrolytes as follows : 

(a) Strong electrolyte : The electrolytes which ionise completely or almost completely are called strong electrolytes. 

For example, 

NaCl,HCl,H2SO4,etc.

(b) Weak electrolytes : The electrolytes which dissociate to a less extent are called weak electrolytes. 

For example, 

CH3COOH, NH4OH,etc.

11.

What are electrolytes?

Answer»

Electrolytes : The substances which in their aqueous solutions (or in any polar solvents) dissociate or ionize forming positively charged ions (cations) and negatively charged ions (anions) are called electrolytes. 

For example,

NaCl, HCl, etc.

12.

What is common ion?

Answer»

Common ion : An ion common to two electrolytes is called common ion. This is generally applicable to a mixture of a strong and a weak electrolyte. 

For example,

A solution containing weak electrolyte CH3COOH and strong electrolyte salt CH3COONa. 

CH3COONa → CH3COO- + Na+

CH3COOH ⇌ CH3COO- + H+ 

Hence,

CH3COOH and CH3COONa have a common ion CH3COO-.

13.

Define the term common ion effect.

Answer»

Common ion effect : The suppression of the degree of dissociation of a weak electrolyte by the addition of a strong electrolyte having an ion in common with the weak electrolyte is called common ion effect. 

For example, 

CH3COOH and CH3COONa have common ion CH3COO-

14.

Explain the common ion effect on dissociation of a weak acid.

Answer»

(1) Consider the dissociation or ionisation of a weak acid, CH3COOH in its solution.

CH3COOH(aq) ⇌ CH3COO-(aq) + H+(aq)

The dissociation constant Ka for CH3COOH will be,

Ka\(\frac{[CH_3COO^-]\times [H^+]}{[CH_3COOH]}\)

Ka is constant for CH3COOH at constant temperature.

(2) If a strong electrolyte like salt CH3COONa is added to the solution of CH3COOH, then on dissociation it gives a common ion CH3COO-.

CH3COONa → CH3COO- + Na+

(3) Due to common ion CH3COO-, overall concentration of CH3COO- in the solution is increased, which increases the ratio, \(\frac{[CH_3COO^-]\times [H^+]}{[CH_3COOH]}\).

In order to keep this ratio constant, the concentration of H+ is decreased, by shifting the equilibrium to the left hand side according to Le Chatelier’s principle.

(4) Thus the ionisation of a weak acid is suppressed by a common ion.

15.

Explain common ion effect with suitable example.

Answer»

A weak electrolyte dissociates partially in aqueous solution to produce cations and anions. 

Equilibrium exists between ions thus formed and the undissociated molecules.

BA ⇌ B+ + A-

For such an equilibrium, the dissociation constant K is defined as,

K = \(\frac{[B^+]\times [A^-]}{BA}\)

K is constant for the weak electrolyte at a given temperature.

Now, 

If another electrolyte BC or DA is added to the solution BA, having a common ion either B+ or A-, then the concentration of either B+ or A- is increased. 

However, 

As K is always constant, the increase in the concentration of any one of the ions shifts the equilibrium to left. In other words, the dissociation of BA is suppressed. This is called common ion effect. 

For example, 

The dissociation of a weak acid CH3COOH is suppressed by adding CH3COONa having common ion CH3COO-.

CH3COOH ⇌ CH3COO- + H+

CH3COONa → CH3COO- + Na+

16.

The \(P^{OH}\) value for solution is 4, its hydrogen ion concentration will be.(a) 10-4(b) 10-10(c) 1010(d) 104

Answer»

(B) \(10^{-10}\)

As we know,

\(P^H+P^{OH}=14\)

\(\therefore P^H=14-4\)

\(P^H=10\)

\(-\log[H^+]=10\)

\([H]^+=10^{-10}\)

Option : (b) 10-10

17.

The common ion effect is based on : (a) Sorensen’s principle (b) Le Chatelier’s principle (c) Heisenberg’s principle (d) Freundlich’s principle

Answer»

Correct Option is : (B) Le Chatelier’s principle

The common ion effect is based on Le Chatelier’s principle

Option : (b) Le Chatelier’s principle

b) le chatelier's principle
18.

The pH of a solution is 6.06. Calculate its [H3O+] ion concentration.

Answer»

Given : 

pH = 6.06, [H3O+] = ? 

PH = -log10[H3O+

∴ log10[H3O+] = -pH

∴ [H3O+] = Antilog – pH 

= Antilog – 6.06 

= Antilog \(\bar 7.94\)

= 8.714 × 10-7 M

∴ [H3O+] = 8.714 × 10-7 M

19.

For pH > 7 the hydronium ion concentration would be(a) 10-7 M (b) < 10-7 M (c) > 10-7 M (d) ≥ 10-7 M

Answer»

Correct answer is

(b) < 10-7 M

20.

If the H+ ion concentration in a solution is 0.01 M, the pOH of the solution is :(a) 12 (b) 10-10(c) 2 (d) 14

Answer»

Correct Option is : (a) 12

As we know,

pH + pOH = 14

\(\therefore\) pOH = 14 - pH

pOH = 14 + log \([H^+]\)

pOH = 14 + log \(10^{-2}\)

pOH = 14-2

pOH = 12

Option : (a) 12

21.

The pH of 10-8 M of HCl is (a) 8 (b) 7 (c) less than 7 (d) greater than 7

Answer»

(c) less than 7

The pH of 10-8 M of HCl is less than 7.

22.

The pH of human blood in a normal person is approximately :(a) 4.7 (b) 6.04 (c) 7.40 (d) 8.74

Answer»

Correct Option is (C) 7.40

The pH of human blood of a normal person is equal to 7.4

Option : (c) 7.40 

23.

If the pH value of a solution is zero, the solution is :(a) a strong acid (b) a very weak acid (c) neutral (d) a base

Answer»

Correct Option is : (A) a strong acid

The solution of strong acids have small pH value (less than 3). Weak acids have pH value greater than 3 and less than 7.

Neutral solutions have pH value equal to 7 and bases have pH value greater than 7.

Option : (a) a strong acid

24.

Which of the following solution will have pH value equal to 1.0? (a) 50 mL of 0.1M HCl + 50mL of 0.1 M NaOH (b) 60 mL of 0.1M HCl + 40mL of 0.1 M NaOH (c) 20 mL of 0.1M HCl + 80mL of 0.1 M NaOH (d) 75 mL of 0.2M HCl + 25mL of 0.2 M NaOH

Answer»

Correct answer is

(d) 75 mL of 0.2M HCl + 25mL of 0.2 M NaOH

25.

If molarity of NaOH is 3.162 × 10-3 M, its pH is :(a) 8.5 (b) 9.5 (c) 10.5 (d) 11.5

Answer»

Correct Option is : (d) 11.5

NaOH is Strong base . It gives OH ion in solution.

As we know,

pH + pOH = 14

pH = 14 - pOH

pH = 14 + log \([OH^-]\)

pH = 14 + log \((3.162 \times 10^{-3})\)

pH = 14 -3 + log (3.162) + \(log \ 10^{-3}\)

pH = 14 - 3 + log (3.162) 

pH = 11 + 0.4996

pH = 11.5

Option : (d) 11.5

26.

The pH of a solution is 5, when the hydroxyl ion concentration is :(a) 10-5 mol/dm3 (b) 10-7 mol/dm3 (c) 10-9 mol/dm3 (d) 10-14 mol/dm3

Answer»

Correct Option is : (C) \(10^{-9} mol/dm^3\)

As we know,

pH + pOH = 14

pOH = 14 - pH

pOH = 14-5

pOH = 9

pOH = - log\([OH^-]\)

\(pOH \implies [OH^-] = 10^{-9} mol/dm^3\)

Option : (c) 10-9 mol/dm3

27.

Ostwald’s dilution law is applicable in case of dilute solution of :(a) HCl (b) H2SO4(c) NaOH (d) CH3COOH

Answer»

(D) \(CH_3COOH\)

Ostwald’s dilution law is applicable for weak acids and weak bases.

Here, \(CH_3COOH\) is weak acid while \(HCl\) and \(H_2SO_4\) are strong acid, and \(NaOH\) is strong base.

Option : (d) CH3COOH

28.

Which of the following is a buffer solution ? (a) CH3COONa + NaCl in water (b) CH3COOH + HCl in water (c) CH3COOH + CH3COONa in water (d) HCl + NH4Cl in water

Answer»

Correct answer is

(c) CH3COOH + CH3COONa in water

29.

Blood in human body is highly buffered at pH of (a) 7.4 (b) 7.0 (c) 6.9 (d) 8.1

Answer»

(a) 7.4

Blood in human body is highly buffered at pH of 7.4.

30.

The ion that cannot be precipitated by both HCl and H2S is :(a) Pb2+ (b) Cu2+ (c) Ag+ (d) Ca2+

Answer»

Correct Option is : (D) \(Ca^{2+}\)

\(Ca^{2+}\) ion cannot be precipitated by both HCl and \(H_2S\) . While \(Pb^{2+}\) , \(Cu^{2+}\) , and \(Ag^+\) ions belongs to group II Cations they precipitated as metal sulphide in presence of HCl .

Option : (d) Ca2+

31.

A solution of blue vitriol is acidic in nature because :(a) CuSO4 reacts with water (b) Cu2+ ions reacts with water (c) \(SO_4^{2-}\) ions reacts with water (d) CuSO4 removes OH- ions from water

Answer»

(A) \(CuSO_4\) reacts with water

Blue vitriot \((CuSO_4\,5H_2O)\) in water is acidic because when \(CuSO_4\) dissolves in water, it forms aqueous solution of strong acid (\(H_2SO_4\)) and weak base (\(Cu(OH)_2\)).

\(CuSO_4+2H_2O\longrightarrow Cu(OH)_2+H_2SO_4\)

\(Cu(OH)_2\) remains in equilibrium but \(H_2SO_4\) fully ionises to give \(H^+\) ions

Therefore, solution of \(CuSO_4\) is acidic in nature.

Option : (a) CuSO4 reacts with water.

32.

The solubility product of a sparingly soluble salt AX is 5.2 x 10-13. Its solubility in mol dm-3 is(a) 7.2 × 10-7(b) 1.35 × 10-4(c) 7.2 × 10-8(d) 13.5 × 10-8

Answer»

Correct answer is

(a) 7.2 × 10-7

33.

The solubility of AgBr in water is 1.28 × 10-5 mol/dm3 at 298 K. Calculate the solubility product of AgBr at the same temperature.

Answer»

Given : S = 1.28 × 10-5 mol dm-3; Ksp = ?

AgBr dissociates as,

AgBr ⇋ \(Ag^+_{(aq)}\)\(Br^-_{(aq)}\)

Ksp = [Ag+] [Br-]

As the solubility of AgBr in water is 1.28 × 10-5 moles/dm3.

[Ag+] = [Br-] = 1.28 x 10-5 mol dm3

∴ Ksp = [1.28 × 10-5] [1.28 × 10-5]

= 1.638 × 10-10

∴ Solubility product of AgBr = 1.638 × 10-10

34.

The solubility product of PbS at 298 K is 4.2 × 10-28,The concentration of Pb++ ion is 0.001 M. Calculate S2- ion concentration at which PbS just gets precipitated.

Answer»

Given :

Solubility product of PbS = Ksp = 4.2 × 10-28

Concentration of Pb++ = [Pb++] = 0.001 M

Concentration of S-- = [S--] = ?

For PbS,

PbS(s) ⇌ Pb+++ S

∴ Ksp = [Pb++] × [S--]

∴ [S] = \(\frac{K_{sp}}{[Pb^{++}]}\)

\(\frac{4.2\times 10^{-28}}{0.001}\)

= 4.2 × 10-25 M

To precipitate Pb++ as PbS, ionic product must be greater than 4.2 × 10-28.

Hence, 

[S--] > 4.2 × 10-25 M.

∴ Concentration of S-- required > 4.2 × 10-25 M.

35.

Which of the following metal sulphide is precipitated in an acidic medium? (a) NiS (b) CoS (c) CuS (d) MnS

Answer»

(c) CuS

CuS is precipitated in an acidic medium while sulphile of \(N i^{+2}\)\(CO^{+2}\) and \(Mn^{+2}\) are precipitated in alkaline medium.

Option : (c) CuS

36.

The solubility of silver chloride is 1.562 × 10-10 mol dm-3 at 298 K. Find its solubility in g dm-3 at the same temperature.

Answer»

Given : 

Solubility of AgCl = S = 1.562 × 10-10 mol dm-3 

Solubility of AgCl in g dm-3 = ? 

Molar mass of AgCl = M = 143.5 g mol-1 

Solubility in gram per dm3,

= solubility in mol dm-3 × molar mass 

= 1.562 × 10-10 × 143.5 

= 2.241 × 10-5 g dm-3 

∴ Solubility of AgCl = 2.241 × 10-8 g dm-3

37.

0.025 M CH3COOH is dissociated 9.5%. Hence the pH of the solution is :(a) 2.6244 (b) 3.128 (c) 2.988 (d) 2.267

Answer»

Correct Option is : (a) 2.6244

\(CH_3COOH\) is a weak acid.

\(CH_3COOH\)\(\rightleftharpoons\)\(CH_3COO^-\)+\(H^+\)
InitiallyC00
At Equilibrium\(C(1 - \alpha)\)\(C \alpha\)\(C \alpha\)

Ka = \(\frac{C \alpha \times C \alpha}{C(1 - \alpha)}\)

Ka = \(\frac{C \alpha}{(1 - \alpha)}\)           ..... \(\alpha << 1\)

\(\implies Ka = C \alpha^2\)

\([H^+] = C \alpha\)         ..... [\(\alpha = \frac{9.5}{100}\)]

\([H^+] = 0.025 \times 0.095\)

\([H^+] = 0.002375\)

\(\therefore \ pH = -log [H^+]\)

\(pH = -log [0.002375]\)

\(pH = 2.6244\)

Option : (a) 2.6244

38.

The solubility of product of a sparingly soluble salt AB is 3.2 × 10-11. If solubility in mol dm-3 is :(a) 4 × 10-4 (b) 3.2 × 10-4 (c) 1 × 10-5 (d) 2 × 10-4

Answer»

Option : (d) 2 × 10-4

39.

Calculate the hydrogen ion concentration in 0.1 M acetic acid solution when the acetic acid is 2% dissociated in the solution.

Answer»

The dissociation of acetic acid is represented below : 

CH3COOH ⇌ CH3 – COO- + H+

Given : 

Dissociation = 2%, C = 0.1 M 

[H3O+] = ? 

The concentration of hydrogen ion, [H+], is given by the following formula : 

[H3O+] = αC 

α = Degree of dissociation = \(\frac{Percent\,dissociation}{100}\)

= \(\frac{2}{100}\)= 0.02 

[H3O+] = Hydrogen ion concentration = ? 

C = Molar concentration of acetic acid 

= 0.1 M = 0.1 mol dm-3 

∴ [H3O+] = C × α = 0.1 × 0.02 

= 0.002 = 2.0 × 10-3 mol dm-3 

∴ Hydrogen ion concentration = 2.0 × 10-3 mol dm-3

40.

The solubility product of Fe(OH)3 is :(a) \([\mathrm{F}_{\mathrm{e}}^{2+}][OH^-]^3\)(b) \([\mathrm{F}_{\mathrm{e}}^{3+}][OH^-]^2\)(c) \( [\mathrm{F}_{\mathrm{e}}^{3+}][OH^-]^3\)(d) \([\mathrm{F}_{\mathrm{e}}^{3+}]^3[OH^-]^3\)

Answer»

Option : (c) \( [\mathrm{F}_{\mathrm{e}}^{3+}][OH^-]^3\)

41.

A solution becomes unsaturated when :(a) ionic product = solubility product (b) ionic product &lt; solubility product (c) ionic product &gt; solubility product (d) ionic product ≥ solubility product

Answer»

correct Option is : (B) ionic product < solubility product

A solution is called unsaturated if its ionioc product less than solubility product.

Option : (b) ionic product < solubility product

42.

The solubility product of PbS in 4.2 × 10-28 at 300 K. The sulphide ions concentration required to precipitate PbS from a solution containing 0.001 M of lead ion is :(a) ≥ 2.1 × 10-14 mol/dm3(b) ≥ 4.2 × 10-14 mol/dm3(c) ≥ 4.2 × 10-25 mol/dm3(d) ≤ 4.2 × 10-28 mol/dm3

Answer»

Option : (c) ≥ 4.2 × 10-25 mol/dm3

43.

Among the following hydroxides, the one which has the lowest value of solubility product at temperature 298 K is :(a) Mg(OH)2 (b) Ca(OH)2 (c) Ba(OH)2 (d) Be(OH)2

Answer»

Correct Option is : (D) \(Be(OH)_2\)

\(Be(OH)_2\) has has the lowest value of \(K_{sp}\) at ordinary temperature , because the solubility of a hydroxide of group 2 elements increases down the group . Therefore Be(OH) has lowest \(K_{sp}\) value.

Option : (d) Be(OH)2

44.

Explain a buffer action of a basic buffer.

Answer»

Mechanism of action of a basic buffer :

(1) A basic buffer solution is a solution containing a weak base and its salt with a strong acid. The weak base dissociates feebly, but the salt dissociates completely. 

Moreover, due to the presence of the common ion, largely supplied by the salt,the dissociation of the base is further suppressed.

(NH4OH + NH4Cl) :

NH4Cl(aq)\(NH^+_{4(aq)}\)+ \(CI^-_{(aq)}\) (Complete)

(2) When a small quantity of a strong acid is added to the solution, the hydrogen ions combine with the base producing corresponding cations and water. 

Thus,

The addition of an acid does not change the pH of the buffer.

\(H^+_{(aq)}\) + NH4OH(aq) ⇌ \(NH^+_{4(aq)}\)+ H2O(1)

This removal of added H+ is called reserved basicity.

(3) When a small quantity of a strong base is added, the hydroxide ions combine with \(NH^+_4\) ions to form undissociated NH4OH. As a result, the hydrogen or hydroxyl ion concentration does not change. 

Thus,

The pH of the solution does not change.

\(OH^-_{(aq)}\)\(NH^+_4\)⇌ NH4OH(aq)

This removal of added OH- is called reserved acidity.

45.

NH4OH is 4.3% ionised at 298 K in 0.01 M solution. Calculate the ionization constant and pH of NH4OH.

Answer»

Given : 

Percent dissociation = 4.3, 

C = 0.01 M, 

Kb = ?, 

pH = ? 

The degree of dissociation and dissociation constant of NH4OH are related to each other by the formula :

Kb = α2C

Kb = Dissociation constant of NH4OH = ?

α = Degree of dissociation of NH4OH = 4.3%

= 4.3 × 10-2

C = Molar concentration of NH4OH = 0.01 M

∴ Kb = (4.3 × 10-2)2 × 0.01

= 18.49 × 10-4 × 10-2

∴ Kb = 1.849 × 10-5

Since NH4OH is a monoacidic base,

[OH-] = αC

= 4.3 × 10-2 × 0.01

= 4.3 × 10-4 mol dm-3

pOH = -log10[OH-]

= -log104.3 × 10-4

= -[0.6335 – 4] = 3.3665

pH + pOH = 14

pH = 14 – 3.3665 = 10.6335

Kb = 1.849 × 10-5, pH = 10.6335

46.

The addition of solid sodium carbonate to pure water results in :(a) an increase in H+ ion concentration (b) an increase in pH (c) no change in pH (d) a decrease in OH- concentration

Answer»

(B) an increase in pH

\(Na_2CO_3+H_2O\longrightarrow 2NaOH+H_2O+CO_2\)

on hydrolysis of \(Na_2CO_3\) gives \(NaOH\) solution, water and Carbon dioxide gas.

We know that, \(NaOH\) is a strong base.

it means the \(P^H\) of pure water increase.

Option : (b) an increase in pH

47.

According to Lowry-Bronsted concept, base is a substance which acts as – (a) a proton donor (b) an electron donor (c) a proton acceptor (d) an electron acceptor

Answer»

(c) a proton acceptor

According to Lowry-Bronsted concept,

Acid is a substance which has the tendency to give a proton \((H^+)\) and a base is a substance which has tendency to accept a proton.

Therefore, base is a proton acceptor.

Option : (c) a proton acceptor.

48.

It is enough to add a few mL of a buffer solution to maintain its pH. Which property of buffer is used here ?

Answer»

The important property of reserve acidity and reserve basicity of a buffer solution is used to maintain constant pH. Weak acid or weak base along with ions (cations or anions) from salt react with excess of added acid (H+) or base [OH-] and maintain pH constant.

49.

Write one property of a buffer solution.

Answer»

Properties (or advantages) of a buffer solution :

  • The pH of a buffer solution is maintained appreciably constant. 
  • By addition of a small amount of an acid or a base pH does not change. 
  • On dilution with water, pH of the solution doesn’t change.
50.

Explain autoionisation of water. Derive a relation for ionic product of water.

Answer»

Pure water ionises to a very less extent.

The ionisation equilibrium is represented as follows,

H2O(1) + H2O(1) ⇋ H3O+(aq) + OH-(aq)

The equilibrium constant K for the above equilibrium is represented as,

K = \(\frac{[H_3O^+][OH^-]}{[H_2O]^2}\)

∴ K × [H2O]2 = = [H3O+] × [OH-]

Since K and active mass of pure water [H2O] are constant we can write,

K x [H2O] = Kw'

∴ Kw = [H3O+] x [OH-]

Where Kw is called ionic product of water. 

At 25 °C,

Kw = 1 × 10-14.