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The relationship between equivalent conductivity (Λ\Lambda) and specific conductivity (κ\kappa) is given by the formula:
Λ=κ×1000C\Lambda = \frac{\kappa \times 1000}{C}
Where:
- Λ\Lambda: Equivalent conductivity (S cm² eq−1^{-1})
- κ\kappa: Specific conductivity (S cm−1^{-1})
- CC: Concentration of the electrolyte (eq L−1^{-1})
Explanation:
- Specific Conductivity (κ\kappa):
- It is the measure of a solution’s ability to conduct electricity, considering its entire volume. It depends on the number of ions, their charge, and mobility in the solution.
- Equivalent Conductivity (Λ\Lambda):
- It represents the conductivity contributed by one equivalent of the electrolyte dissolved in the solution.
- The Factor of 10001000:
- Since concentration CC is expressed in equivalents per liter, and specific conductivity is in S cm−1^{-1}, the 10001000 factor adjusts the unit of volume from liters to milliliters for consistency.
Practical Use:
- At infinite dilution, Λ\Lambda reaches its maximum value (Λ∞\Lambda^\infty) because all ions are fully dissociated and freely moving.
- Studying Λ\Lambda as a function of concentration helps in understanding ion mobility and electrolyte behavior.
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