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Conductivity (Seimen’s S) is directly proportional to area of the vessel and the concentration of the solution in it and is inversely proportional to the length of the vessel, then constant of proportionality is expressed in
(AIEEE 2002)
  • a)
    S m mol-1
  • b)
    S2 m2 mol-2
  • c)
    S m2 mol-1
  • d)
    S2 m2 mol
Correct answer is option 'C'. Can you explain this answer?
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Explanation:

Direct Proportionality:
- Conductivity is directly proportional to the area of the vessel and the concentration of the solution in it.
- This can be represented as: Conductivity ∝ Area * Concentration

Inverse Proportionality:
- Conductivity is inversely proportional to the length of the vessel.
- This can be represented as: Conductivity ∝ 1/Length

Combining the Proportionalities:
- Combining the direct and inverse proportionalities, we get: Conductivity ∝ (Area * Concentration) / Length
- This can be further simplified as: Conductivity ∝ (Area * Concentration) / Length

Constant of Proportionality:
- The constant of proportionality is the factor that relates the conductivity to the area, concentration, and length.
- Since Conductivity = Constant * (Area * Concentration) / Length
- The constant of proportionality is expressed in S m2 mol-1 (Option C)
Therefore, the correct answer is option C - S m2 mol-1.
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