Resistance of conductivity cell Filled with a solution of an electroly...
Calculation of Molar Conductivity of 0.02 M solution of electrolyteGiven Data:
- Resistance of conductivity cell filled with 0.1 M solution = 100 ohm
- Conductivity of 0.1 M solution = 1.29 S/m
- Resistance of conductivity cell filled with 0.02 M solution = 520 ohm
Calculation:The resistance of the conductivity cell filled with a solution of electrolyte is inversely proportional to the conductivity of the solution. Therefore, we can write the following equation:
R = (1/κ) x k
where R is the resistance of the conductivity cell, κ is the conductivity of the solution, and k is a constant.
Calculation for 0.1 M solution:Using the above equation, we can find the value of k for the 0.1 M solution as follows:
100 = (1/1.29) x k
k = 129
Now, we can use this value of k to find the conductivity of the 0.02 M solution as follows:
Calculation for 0.02 M solution:520 = (1/κ) x 129
κ = 0.025 S/m
The molar conductivity of a solution can be calculated by dividing the conductivity of the solution by the concentration of the electrolyte. Therefore, we can find the molar conductivity of the 0.02 M solution as follows:
Molar Conductivity of 0.02 M solution:Molar conductivity = κ / c
where c is the concentration of the electrolyte.
Molar conductivity = 0.025 / 0.02
Molar conductivity = 1.25 S m² mol⁻¹
Therefore, the molar conductivity of the 0.02 M solution of electrolyte is 1.25 S m² mol⁻¹.