0.1 mole, per litre solution present in conductivity cell where electrode of 100 `cm^(2)` area placed at 1 cm and resistance observe is `5xx10^(3)` ohm, what is molar conductivity of solution?

Options

A. `5xx10^(2)S cm^(2) "mole"^(-1)`
B. `10^(4)S cm^(2) "mole"^(-1)`
C. `200 S cm^(2)"mole"^(-1)`
D. `0.02 S cm^(2) "mole"^(-1)`

Answer

D

Explanation

Molar conductivity `{:(Delta_(m)=(kxx1000)/(M)" ""M=Molarity"),((2xx10^(-6)xx100)/(0.1)" ""k=specific conductivity"),(=(2)/(100)cm^(2)"mole"^(-1)" "k=1/R"x cell constant"),(" "=1/Rxxl/A),(" "=(1)/(5xx10^(3)Omega)xx(1cm)/(100cm^(2))),(" "=2xx10^(-6)omega^(-1)cm^(-1)):}`