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Arrhenius’s Theory And Ostwald's Dilution Law

Arrhenius’s Theory And Ostwald's Dilution Law

Arrhenius's theory is based on the colligative properties of solutions of acids, bases and salts. The theory of electrolyte dissociation was observed in the ionisation of water higher than sodium chloride and potassium chloride. Ostwald’s dilution law is based on the Arrhenius theory, which is related to the variation of the degree of ionisation of an electrolyte.

Table of Contents:

What is Arrhenius Theory?

Arrhenius's theory was introduced by Swedish scientist Svante Arrhenius in the year 1887. This theory states that the acids dissociate in the water and produce electrically charged ions, of which hydrogen ion (H+) is one. Similarly, bases dissociate in water producing hydroxide ions (OH−). Thus it states the splitting of acid or base into ions in solution. 

This process is reversible and induces electrical conductivity, elevates boiling point, and reduces vapour pressure and osmotic pressure. 

Degree Of Ionisation Or Dissociation

The degree of dissociation is calculated by the ratio of the total number of molecules which is ionised at the equilibrium state.

Image

Factors Affecting Ionisation Or Dissociation

  • If the nature of the electrolyte is stronger, then there is more ionisation.
  • If the dielectric constant of the solvent is higher, then there is more ionisation.
  • The lesser the concentration of the solution, the more the ionisation.
  • The higher the temperature of the solution, the more the ionisation.
  • The more solvation, the more ionisation.
  • If there are common ions present in the solution, then the ionisation decreases. 
  • The more solvation, the more ionisation.

Electrolyte

A substance that separates the ions in the solution is called an electrolyte. An electrolyte can be an acid, base or salt.

  • Strong electrolyte: This electrolyte dissociates completely into ions though it is in a concentrated solution. For example, NaOH, KOH, HCl, NaCl, etc. Most of the salts are always strong electrolytes.
  • Weak electrolyte: This electrolyte dissociates only to a small extent in a solution. For example, CH3COOH, NH4OH, etc.

Ostwald's Dilution Law

Ostwald's dilution law refers to the weak electrolyte’s dissociation constant with respect to the degree of dissociation. The law states that “The degree of dissociation of a weak electrolyte is inversely proportional to the square root of molar concentration or directly proportional to the square root of volume holding one mole of the solute for a weak electrolyte.” This applies only to weak electrolytes such as CH3COOH ( Acetic acid). The equation of Ostwald’s dilution law is given as follows:

Image

Limitations Of Ostwald’s Dilution Law

  • Ostwald’s dilution law is applicable only to weak electrolytes, while it is completely not applicable to strong electrolytes.
  • Ostwald’s dilution law is based on Arrhenius's theory. Thus, only some fraction of electrolytes are dissociated at normal dilution, but it is completely dissociated in infinite dilution. The strong electrolytes are completely dissociated at all dilutions, therefore does not give an accurate value of the degree of dissociation.
  • The law has applied the law of mass action; thus, a simple form of the law of mass action can not be applied in such a case.
  • The ions that are dissociated might be hydrated by the water molecules, which can alter the ion's concentration.

Practice Problems On Arrhenius's Theory And Ostwald's Dilution Law

Q1. Which of the following is a weak electrolyte?

a. CH3COOH 
b. NaOH
c. HCl
d. KOH

Ans: CH3COOH 

Q2. Which of the following is a strong electrolyte?

a. CH3COOH 
b. NaOH
c. NH4OH
d. None of the above

Ans: b. NaOH

Q3. Which of the following is correct about Ostwald's dilution law?

Image

Frequently Asked Questions

Q1. What is ionisation?
Answer:
Ionisation is a process in which an atom or molecule is charged into positive or negative charge by either gaining or losing electrons. 

Q2. What is dissociation?
Answer: 
Dissociation is a process in which the substance spontaneously splits into constituent charged particles. It is reversible in nature.

Q3. What is the equation for Ostwald's dilution law?
Answer: 
The equation for Ostwald's dilution law is given as Image.

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