Question

The resistance of 0.01 N solution of an electrolyte was found to be 210 ohms at 298 K using a conductivity cell constant of $0.66{ cm }^{ -1 }$ . The value of equivalent conductance of solution is:

Answer 1

Hint : Specific conductance or conductivity is the conductance of a given solution enclosed in a cell having two electrodes of unit area and is separated by 1cm. Conductivity is also temperature-dependent. The SI unit conductivity is siemens per meter. Conductivity is the reciprocal of resistivity.

Complete step by step solution: Let us know a few terms, in order to solve the question!

Specific Conductance is a measure of how well water can conduct an electrical current.

Cell constant, known as K, refers to a theoretical electrode consisting of two 1cm square plates 1 cm apart. Cell constant of a particular cell is determined as the ratio of the distance between the electrodes of the cell to the area of the electrodes.

Equivalent Conductance: Volume of solution containing one equivalent of an electrolyte is known equivalent conductivity.

Let us consider the problem,
Let us consider the specific conductance given by the equation.

$k=\frac { K }{ R }$

Where,
K is the cell constant
R is the resistance
This implies that,

$4k=\frac { 0.88 }{ 220 }$

Implies that

$4\times { 10 }^{ -3 }on{ m }^{ -1 }c{ m }^{ -1 }$

Hence, equivalent conductance of electrolyte is

$\lambda =\frac { 1000K }{ C }$

$\frac { 1000\times 4\times { 10 }^{ -3 } }{ 0.1 }$

Therefore, the value of equivalent conductance of solution is:
$40oh{ m }^{ -1 }c{ m }^{ 2 }e{ q }^{ -1 }$

Note : Conductivity increases with increasing amount and mobility of ions. These ions, which come from the breakdown of compounds, conduct electricity because they are negatively or positively charged when dissolved in water.