Concept explainers
(a)
Interpretation:
A verification whether the molar conductivity follows the Kohlrausch law has to be done. The value of the limiting molar conductivity has to be calculated.
Concept Introduction:
Kohlrausch law:
The molar conductivity of an electrolyte at infinite dilution is equal to the sum of the individual conductances of the anions and cations.
(a)
Answer to Problem 5.56P
The limiting molar conductivity is found to be
Explanation of Solution
According to Kohlrausch law, Molar conductivity of a strong electrolyte weakly depends on concentration. On dilution, there is a regular increase in the molar conductivity, due to the decrease in solute-solute interaction.
Molar conductivity can be mathematically represented as
Where,
Substituting the first set of values and cell constant in the above equation and solving for
Similarly, the rest of the calculation can be done as shown above.
It is clear from the table that molar conductivity of a strong electrolyte weakly depends on concentration as all the values came nearly same. Also it shows that on dilution, there is a regular increase in the molar conductivity.
The graph between
Where,
Figure.1
Upon extrapolation the graph, where it will touch on the Y-axis that will be the limiting molar conductivity. Hence, the limiting molar conductivity is around
(b)
Interpretation:
The value of coefficient
Concept Introduction:
Kohlrausch law:
The molar conductivity of an electrolyte at infinite dilution is equal to the sum of the individual conductances of the anions and cations.
(b)
Answer to Problem 5.56P
The value of coefficient
Explanation of Solution
The slope of the graph between
Figure.2
Slope of the graph:
After considering carefully, the unit of
Therefore, the value of coefficient
(c)
Interpretation:
The molar conductivity, conductivity and the resistance of
Concept Introduction:
Kohlrausch law:
The molar conductivity of an electrolyte at infinite dilution is equal to the sum of the individual conductances of the anions and cations.
(c)
Answer to Problem 5.56P
The molar conductivity, conductivity and the resistance of
Explanation of Solution
(I)
Given Data:
The limiting molar conductivity of
Now, molar conductivity
Therefore, the molar conductivity of
(II)
Calculation of conductivity:
Molar conductivity can be mathematically represented as
Where,
Hence, the conductivity can be calculated as
Therefore, the conductivity of
(III)
The conductivity can be further simplified as
Hence, the resistance can be calculated as
Therefore, the resistance of
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