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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

`8 xx 10^(-3) S cm^(-1)`

B

`32S cm^(-1)`

C

`0.032 S cm^(-1) `

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
`^^_M = (K xx 1000)/(M) , K = M xx (^^_M)/(1000) = (0.04 xx 200)/(1000) = 8 xx 10^(-3)`
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Knowledge Check

  • For an electrolytic solution of 0.05 mole "litre"^(-1) , the conductivity has been found to be 0.0110S cm^(-1) . The molar conductivity ( in Scm^(2)"mole"^(-1) ) is

    A
    0.055
    B
    550
    C
    0.22
    D
    220

  • For an electrolytic solution of 0.05 mole "litre"^(-1) , the conductivity has been found to be 0.0110 S cm^(-1) . The molar conductivity (in Scm^(2) "mole"^(-1) ) is

    A
    0.055
    B
    550
    C
    0.22
    D
    220

  • The conductivity of 0.01 mol L^(-1) KCl solution is 1.41xx10^(-3) S cm^(-1) . What is its molar conductivity ( in Scm^(2) mol^(-1) ) ?

    A
    14. 1
    B
    141
    C
    1410
    D
    1.41

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