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Starting from Outwald dilution law, derive a suitable expression to obtain the equivalent conductance value at infinite dilution (Ao) and dissociation constant (K) of acetic acid from conductance measurement.?
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Starting from Outwald dilution law, derive a suitable expression to ob...
Outwald Dilution Law:

The Outwald dilution law states that the equivalent conductance of an electrolyte at infinite dilution is equal to the sum of the equivalent conductance of its cations and anions at infinite dilution.

Derivation of the Expression:

- According to Outwald dilution law, the equivalent conductance (Λ) at infinite dilution (Λo) is given by:
Λo = Λc+ + Λa-

- For a weak electrolyte like acetic acid (CH3COOH), it undergoes partial dissociation in solution:
CH3COOH ⇌ CH3COO- + H+

- The degree of dissociation (α) is given by:
α = √(K/C)

- Where K is the dissociation constant and C is the molar concentration of the acid.

- The equivalent conductance of acetic acid at infinite dilution is given by:
Λo(CH3COOH) = Λo(CH3COO-) + Λo(H+)

- Substituting the values of Λo from Outwald dilution law:
Λo(CH3COOH) = Λo(CH3COO-) + Λo(H+)
Λo(CH3COOH) = Λ(CH3COO-) + Λ(H+)

- Using the relation between equivalent conductance and degree of dissociation:
Λ(CH3COO-) = Λo(CH3COO-) / α
Λ(H+) = Λo(H+) / α

- Substituting these values into the previous equation:
Λo(CH3COOH) = Λo(CH3COO-) / α + Λo(H+) / α
Λo(CH3COOH) = Λo(CH3COO-) + Λo(H+)

- Finally, by comparing this equation with the Outwald dilution law equation, we can determine the values of Λo(CH3COO-) and Λo(H+) which can be used to calculate the dissociation constant (K) of acetic acid.
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Starting from Outwald dilution law, derive a suitable expression to obtain the equivalent conductance value at infinite dilution (Ao) and dissociation constant (K) of acetic acid from conductance measurement.?
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