1. Tardigrade
  2. Question
  3. Chemistry
  4. The molar conductivity of a conductivity cell filled with 10 moles of 20 mL NaCl solution is Lambda m 1 and that of 20 moles another identical cell heaving 80 mL NaCl solution is Lambda m 2, The conductivities exhibited by these two cells are same. The relationship between Lambda m 2 and Lambda m 1 is

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. The molar conductivity of a conductivity cell filled with $10$ moles of $20\, mL\, NaCl$ solution is $\Lambda_{ m 1}$ and that of $20$ moles another identical cell heaving $80 \, mL \, NaCl$ solution is $\Lambda_{ m 2}$, The conductivities exhibited by these two cells are same. The relationship between $\Lambda_{ m 2}$ and $\Lambda_{ m 1}$ is

JEE MainJEE Main 2022Electrochemistry

Solution:

$ \Lambda_{ m }=\kappa \times \frac{1000}{ M } $
$ \Rightarrow \Lambda_{ m } \propto \frac{1}{ M }$
$ \frac{\Lambda_{ m _1}}{\Lambda_{ m _2}}=\frac{ M _2}{ M _1}=\frac{\frac{20}{80}}{\frac{10}{20}}=\frac{1}{4} \times \frac{2}{1}=\frac{1}{2} $
$\Rightarrow \Lambda_{ m _2}=2 \Lambda_{ m _1}$