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For a weak electrolyte such as acetic acid, the relation among conductance λ, equilibrium constant (K) and concentration (C) can be expressed as:
Question

For a weak electrolyte such as acetic acid, the relation among conductance λ, equilibrium constant (K) and concentration (C) can be expressed as: (λ0is the conductance at infinite dilution)


A.

1λ=1λ0cλKλ0\frac{1}{\lambda} = \frac{1}{\lambda^0} - \frac{c\lambda}{K\lambda^0}​​

B.

1λ=1λ0+cλKλ02\frac{1}{\lambda} = \frac{1}{\lambda^0} + \frac{c\lambda}{K\lambda^{0^2}}​​

C.

1λ0=1λ+cλKλ02\frac{1}{\lambda^0} = \frac{1}{\lambda} + \frac{c\lambda}{K\lambda^{0^2}}​​

D.

1λ=cλKλ02\frac{1}{\lambda} = \frac{c\lambda}{K\lambda^{0^2}}​​

Correct option is B

According to the Arrhenius theory of electrolytic dissociation, there exists an equilibrium between the undissociated molecule AB and the ions 

which result from the dissociation of the molecule. Thus,

This equilibrium is characterized by the equilibrium constant, defined as

according to which the degree of dissociation increases as c decreases.

increased, the concentrations of the ions 

are also increased. Thus, the increase of conductance for a weak electrolyte is primarily due to the increase in the number of ions on dilution.

Expression of degree of dissociation

Arrhenius suggested that the degree of dissociation of an electrolyte can be calculated using the expression




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