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Conductivity (Unit:siemen's S) is directly proportionally to the area of the vessel and the concentration of the solution in it and is inversely proportional to the length of vessel,then the unit of constant of proportionally is
  • a)
    S m mol⁻1
  • b)
    S m2 mol⁻1
  • c)
    S⁻2 m2 mol
  • d)
    S2 m2 mol⁻2
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Conductivity (Unit:siemen's S) is directly proportionally to the area ...
S= (k*area*conc)/length
Solving for k and putting the units of other quantities, we get the unit of k as S mol-1 m2
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Most Upvoted Answer
Conductivity (Unit:siemen's S) is directly proportionally to the area ...
Explanation:
1. Conductivity Formula:
- The formula for conductivity is given by:
Conductivity (S) = k * A / L * C
where k is the constant of proportionality, A is the area of the vessel, L is the length of the vessel, and C is the concentration of the solution.
2. Unit Analysis:
- The unit of conductivity is siemen's (S) which is equivalent to 1 ohm⁻¹.
- From the formula, the unit of k can be calculated as follows:
S = k * m² / m * mol⁻¹
k = S * m / m² * mol⁻¹
k = S m⁻¹ mol⁻¹
3. Conclusion:
- Therefore, the unit of the constant of proportionality (k) is S m⁻² mol⁻¹, which corresponds to option 'B'. This unit represents the relationship between conductivity, area, length, and concentration in the given formula.
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