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Conductivity (unit Siemen’s S) is directly proportional toarea of the vessel and the concentration of the solution in itand is inversely proportional to the length of the vesselthen the unit of the constant of proportionality is                [2002]
  • a)
    Sm mol–1
  • b)
    Sm2 mol–1
  • c)
    S–2m2 mol
  • d)
    S2m2 mol–2.
Correct answer is option 'B'. Can you explain this answer?
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Conductivity (unit Siemen’s S) is directly proportional toarea o...
Explanation:

Direct Proportionality:
- Conductivity ∝ Area * Concentration
- The unit of area is m^2 and the unit of concentration is mol/m^3, so the unit of conductivity is S/m.

Inverse Proportionality:
- Conductivity ∝ 1/Length
- The unit of length is meters, so the unit of conductivity is S/m.

Combining both:
- S/m = k * (m^2 * mol/m^3) / m
- S = k * m * mol/m^2
Therefore, the unit of the constant of proportionality is Sm^2 mol^-1. Hence, the correct answer is option B.
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Conductivity (unit Siemen’s S) is directly proportional toarea of the vessel and the concentration of the solution in itand is inversely proportional to the length of the vesselthen the unit of the constant of proportionality is [2002]a)Sm mol–1b)Sm2 mol–1c)S–2m2 mold)S2m2 mol–2.Correct answer is option 'B'. Can you explain this answer?
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