The correct answer is 6.25 x 10-4 S m2 mol-1
We have
\(\kappa=\frac{1}{R}\). Cell Constant
For 0.2 M solution:
1.3Sm-1 = 1/50. Cell Constant
Cell constant = (1.3 x 50)
= 65m-1
For 0.4 M solution:
\(\kappa= \frac{1}{260}\times65\)
= 0.25Sm-1
Now,
\(Λ_m=\frac{\kappa}{Molarity}\)
= 0.25Sm-1/0.4mL-1
= 0.625 S m2 mol-1
= 6.25 x 10-4 S m2 mol-1
Alternative Method
