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JEE Mains · Chemistry · STD 12 - 2. Electrochemistry

For strong electrolyte \(\Lambda_{m}\) increases slowly with dilution and can be represented by the equation
\(\Lambda_{ m }=\Lambda_{ m }^{\circ}- Ac ^{1 / 2}\)
Molar conductivity values of solution of strong electrolyte AB at \(18^{\circ} C\) are given below :
\(c \left[ mol~L ^{-1}\right]\)0.040.090.160.25
\(\Lambda_{ m }\left[ S~cm^2~mol^{-1}\right]\)96.195.795.394.9
The value of constant A based on the above data [in \(S~cm^2~mol^{-1} /( mol / L )^{1 / 2}\) ] unit is __________ .

  1. A 2
  2. B 4
  3. C 6
  4. D 8
Verified Solution

Answer & Solution

Correct Answer

(B) 4

Step-by-step Solution

Detailed explanation

Using equation : \(\Lambda_{ m }=\Lambda^0{ }_{ m }- A \sqrt{ c }\) \(96.1=\Lambda_{ m }^0- A \sqrt{0.04}\) \(96.1=\Lambda_{ m }^0- A \times 0.2 \quad\ldots(1)\) \(95.7=\Lambda_{ m }^0- A \times \sqrt{0.09}\) \(95.7=\Lambda_m^0- A \times 0.3 \quad\ldots(2)\) From eq. (1) and eq.…
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