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Molar conductivity (^^m) is defined as c...

Molar conductivity `(^^_m)` is defined as conducting power of the ions produced by 1 mole of an electrolyte in a solution. `^^_m =(K)/(C)` where K is conductivity (in `S-cm^(-1)`), `^^_m` is molar conductivity (in `Scm^(2) mol^(-1)`) and C is molar concontration (in `"mole"//cm^(3)`)
The molar conductivity of 0.04 M solution of `MgCl_2` is `200Scm^2 mol^(-1)` at 298 K. A cell with electrodes that are `2.0cm^(2)` in surface area and 0.50 cm apart is filled with `MgCl_2` solution.
The cell constant is

A

`156.25 A`

B

`0.16 A `

C

`160 A `

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
`R = P. (1)/(a) , P = 1//K , R = (1)/( 8 xx 10^(-3)) xx (0.50)/(2) , R = 31.25 Omega , I = (V)/(R) , I=(5)/(31.25 ) = 0.16`
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