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A cell whose observed conductance is 0.02 S is filled with a solution of specific conductance 0.01 S/cm. Its cell constant is

  • A.2.0 cm\( ^{-1} \)
  • B.0.0002 cm\( ^{-1} \)
  • C.5.0 cm\( ^{-1} \)
  • D.0.5 cm\( ^{-1} \)

Answer: D

Correct answer: 0.5 cm\( ^{-1} \)

The cell constant relates the measured conductance to the specific conductance:

\[ \kappa = G \times \text{cell constant} \quad \Rightarrow \quad \text{cell constant} = \frac{0.01}{0.02} = 0.5 \ \mathrm{cm^{-1}} \]

It is the ratio of the electrode separation to their area and is a property of the cell alone, determined once with a standard potassium chloride solution and used thereafter for every measurement in that cell.

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