The unit of cell constant is

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  1. Ohm-1 cm-1
  2. Cm
  3. Ohm-1 cm
  4. Cm-1

Answer (Detailed Solution Below)

Option 4 : Cm-1
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CONCEPT:

Cell Constant (G*)

  • The cell constant, often denoted as G* (or K), is a proportionality factor that relates the conductance of an electrolytic solution to its conductivity.
  • It is defined by the equation:

    G* = L/A

    • where L is the distance between the electrodes (cm)
    • A is the cross-sectional area of the electrodes (cm²)

EXPLANATION:

  • The cell constant has units that ensure the conductivity (which has units of S cm-1) multiplied by the cell constant gives conductance (which has units of S).
  • Given the formula G* = L/A:
    • Distance (L) has units of cm
    • Area (A) has units of cm²
    • Thus, G* has units of cm-1, as it is the ratio of a length to an area.

Therefore, the unit of cell constant is cm-1.

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