Subjective Type

Express the relation among cell constant, resistance of the solution in the cell and conductivity of the solution. How is molar conductivity of a solution related to its conductivity?

Solution

$$G= \cfrac{1}{R}$$
$$K= G\times G^{\ast }$$
Substitue the value of conductance in the above equation
$$K=\cfrac{1}{R}\times G^{\ast }$$
$$R= \cfrac{1}{G}$$
Molar conductivity is defined as the conductivity of an electrolyte solution divided by the molar concentration of the electrolyte, and so measures the efficiency with which a given electrolyte conducts electricity in solution.
$$\wedge= K\times V$$
G is conductance.
K is conductivity.
$$G^{\ast}$$ is cell constant.
$$\wedge$$ is molar conductivity.
$$GG^*=K$$
Where, G=conductance, $$G^*$$=cell constant, K = conductivity
$$G^*\times \cfrac{1}{2}=K\Rightarrow G^* = RK$$
$$\Lambda_m = \cfrac{k\times 1000}{C}Scm^2mol^{-1}$$

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