
The conductivities at infinite solution of , and are . If equivalent conductance of solution of is , then degree of dissociation of at this dilution is:
A.
B.
C.
D.
Answer
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Hint: We can say equivalent conductivity as the conducting power of all the ions produced by dissolving one gram equivalent of an electrolyte present in solution. We can calculate the degree of dissociation using and . We can calculate the using the values of , and .
Complete step by step answer:
Given data contains,
The conductivity of is .
The conductivity of is .
The conductivity of is .
The reaction of ammonium chloride with sodium hydroxide results in the formation of ammonium hydroxide and sodium chloride. We can write the chemical equation as,
At infinite dilution, the conductivity of is,
Now,
The equivalent conductance of is calculated by adding the conductivities of , and subtracting the obtained conductivity with conductivity of .
Let us now substitute the values the conductivities of , and to get .
The value of is .
The equivalence conduction of solution of is .
Equivalent conductance is .
We can calculate the degree of dissociation with and . The formula to calculate the degree of dissociation is given as,
Here, represents the degree of dissociation of .
Equivalent conductance is .
The value of is .
Using the values of and , we can calculate the degree of dissociation as,
The degree of dissociation of is .
Therefore, the option (B) is correct.
Note: We can say that conductivity (or) specific conductivity is the capacity of solution to conduct electricity. We can represent the SI unit of conductivity as S/m. The unit that is used to express molar conductivity is . We can obtain the limiting molar conductivity of any electrolytes with the help of Kohlraush’s law.
Complete step by step answer:
Given data contains,
The conductivity of
The conductivity of
The conductivity of
The reaction of ammonium chloride with sodium hydroxide results in the formation of ammonium hydroxide and sodium chloride. We can write the chemical equation as,
At infinite dilution, the conductivity of
Now,
The equivalent conductance of
Let us now substitute the values the conductivities of
The value of
The equivalence conduction of solution of
Equivalent conductance
We can calculate the degree of dissociation with
Here,
Equivalent conductance
The value of
Using the values of
The degree of dissociation of
Therefore, the option (B) is correct.
Note: We can say that conductivity (or) specific conductivity is the capacity of solution to conduct electricity. We can represent the SI unit of conductivity as S/m. The unit that is used to express molar conductivity is
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