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

The relationship between ${\mathrm{\Lambda }}_{\mathrm{m}2}$ and ${\mathrm{\Lambda }}_{\mathrm{m}1}$ is

• Correct answer
  A

  ${\mathrm{\Lambda }}_{\mathrm{m}2}=2{\mathrm{\Lambda }}_{\mathrm{m}1}$
• B

  ${\mathrm{\Lambda }}_{\mathrm{m}2}={\mathrm{\Lambda }}_{\mathrm{m}1}/2$
• C

  ${\mathrm{\Lambda }}_{\mathrm{m}2}={\mathrm{\Lambda }}_{\mathrm{m}1}$
• D

  ${\mathrm{\Lambda }}_{\mathrm{m}2}=4{\mathrm{\Lambda }}_{\mathrm{m}1}$

Hence, the correct answer is option: 'A'.