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Electrolytic Cell

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Read the following statetnent and predict the corresponding law? 'At infinite dilution when dissociation is complete, each ion makes a definite contribution towards total equivalent conductance of the electrolyte irrespective of the nature of the ion.

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Solution

Ostwald’s dilution law: It gives the relation between the dissociation constant (Kd) and the degree of dissociation (∝) of a weak electrolyte.
Kohlrousch’s law : At infinite dilution when dissociation is complete , each on makes a definite contribution towards total equivalent conductance of the electrolyte irrespective of the nature of the ion.
Nernst equation : In electrochemistry , the Nernst equation is an equation that relates the reduction potential of a half-cell (or the total voltage , i.e the emf of the full cell) at any point in time to the standard electrode potential , temperature , activity and reaction quotient of the underlying reaction and species used.
Ohm’s law : It states that the current through a conductor between two points is directly proportional to the voltage across the two points.

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Q. Read the following statement and predict the corresponding law.

'At infinite dilution when dissociation is complete, each ion makes a definite contribution towards total equivalent conductance of the electrolyte irrespective of the nature of the ion'.

Q. At infinite dilution, each ion of an electrolyte contributes a characteristic ionic conductance towards equivalent conductance of electrolyte which is independent of the nature of other ion present in solution. This statement was given by:

Q. Molar conductance is used to define as the conducting power of all the ions produced by one mole of the electrolyte in the given solution.

Λ m = \frac{1000 \times K}{C}

Where, K = specific conductance, C = Molar concentration of the solution.
At infinite dilution, each ion makes a definite contribution for the conductance of electrolyte. At infinite dilution, the molar conductance of an electrolyte is the sum of the ionic conductance of constituent ions.

Λ A B_{m}^{\infty} = x A_{+}^{\infty} + y A_{+}^{\infty}

where,x and y are the number of cations and anions per formula unit of the electrolyte. By measuring the conductance we can measure degree of dissociation and dissociation constants.

α = \frac{Λ^{C}}{Λ^{\infty}}; K_{a} = \frac{a^{2} C}{(1 - α)}; K_{b} = \frac{α^{2} C}{(1 - α)}

By conductance measurements we can calculate the solubility product of a sparingly soluble salt. For a sparingly soluble salt, the saturated solution will be an extremely dilute solution and

A^{C}

A^{\infty}

A^{\infty}

(by Kohlrausch’s law) the concentration of saturated solution is calculated from which Ksp is calculated.
The value of

Λ^{C}

for 0.001M aqueous solution of

N H_{3}

S m^{2} m o l^{- 2}

)

Q. Which of the following expressions correctly represents the equivalent conductance at infinite dilution of

A l_{2} (S O_{4})_{3}

Λ_{A l^{3 +}}^{o}

Λ_{S O_{4}^{2 -}}^{o}

are the equivalent conductances at infinite dilution of the respective ions?

Q. Which of the following expressions correctly represents the equivalent conductance at infinite dilution of

A l_{2} (S O_{4})_{3}

\land_{A l^{3 +}}^{\circ}

\land_{S O_{4}^{2 -}}^{\circ}

are the equivalent conductances at infinite dilution of the respective ions?

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