The limiting molar conductivities, at 25°C, of few ionic compounds are given in the table below. The limiting molar conductivity of Agl, in units of milli-Siemens (metre)2 mol-1, at 25°C is

Ionic Compound Molar conductivity (milli-Siemens (metre)2 mo-1)
Nal 12.69
NaNO3 12.16
AgNO3 13.34

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  1. 13.87
  2. 12.73
  3. 11.63
  4. 10.78

Answer (Detailed Solution Below)

Option 1 : 13.87
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Detailed Solution

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Concept:

  • Kohlrausch’s Law: The equivalent conductance of an electrolyte at infinite dilution is equal to the sum of the equivalent conductances of the component ions.
  • The molar conductivity of a solution at infinite dilution is known as limiting molar conductivity.
  • In other words, When the concentration of the electrolyte approaches zero, the molar conductivity is known as limiting molar conductivity.

Explanation:

The limiting molar conductivity of Agl, in units of milli-Siemens (metre)2 mol-1, at 25°C is

Ionic Compound Molar conductivity (milli-Siemens (metre)2 mo-1)
Nal 12.69
NaNO3 12.16
AgNO3 13.34

 

= 12.69 ......(1)

= 12.16 .........(2)

 = 13.34.......(3)

Now, 

On applying operation, eq. (1+3-2), we get

=12.69 + 13.34 - 12.16

13.87 (milli-Siemens (metre)2 mo-1)

Conclusion:

Hence, the limiting molar conductivity of Agl, in units of milli-Siemens (metre)2 mol-1, at 25°C is 13.87

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