Question

If the molar conductivity of 0.02M solution of KCl at 298K is$0.0248{\mathrm{Scm}}^{-1}$. Calculate its molar conductivity.

• A. $112{\mathrm{Scm}}^2{\mathrm{mol}}^{-1}$
• B. $124{\mathrm{Scm}}^2{\mathrm{mol}}^{-1}$
• C. $136{\mathrm{Scm}}^2{\mathrm{mol}}^{-1}$
• D. $148{\mathrm{Scm}}^2{\mathrm{mol}}^{-1}$

Answer 1

The correct option is B

$124{\mathrm{Scm}}^2{\mathrm{mol}}^{-1}$

Explanation for correct answer:-

Option (B) $124{\mathrm{Scm}}^2{\mathrm{mol}}^{-1}$

Step: 1 Given data:

$\mathrm{\kappa }\left(\mathrm{conductivity}\right)=0.0248{\mathrm{Scm}}^{-1};\mathrm{T}\left(\mathrm{temperature}\right)=298\mathrm{K};\mathrm{C}\left(\mathrm{molarity}\right)=0.2\mathrm{M}$

Step: 2 Formula for calculating molar conductivity

$\mathrm{\Delta m}=\frac{1000\times \mathrm{\kappa }}{\mathrm{C}}$

Step: 3 Calculating the molar conductivity

$\mathrm{\Delta m}=\frac{1000\times 0.0248}{0.2}=124{\mathrm{Scm}}^2{\mathrm{mol}}^{-1}$

Final Answer

Therefore, the molar conductivity is option (B)$124{\mathrm{Scm}}^2{\mathrm{mol}}^{-1}$.