D. 11.52 S cm²/mol
The formula to calculate the molar conductivity (Λm) of a solution is:
⟶ Λm = κ × 1000/c
where,
We have:
Plugging the required values, we have:
⟶ Λm = 5.76 × 10⁻³ S cm⁻³ × 1000/0.5 mol dm⁻³
⟶ Λm = 5760 × 10⁻³ S cm⁻³/0.5 mol dm⁻³
⟶ Λm = 11500 × 10⁻³ S cm²/mol
⟶ Λm = 11.52 S cm²/mol.
Hence, the molar conductivity of the solution is 11.52 S cm²/mol.
Therefore, (D) 11.52 S cm²/mol is the required answer.