Question

The ionic conductance of \( \text{Ba}^{2+} \) and \( \text{Cl}^- \) respectively are 127 and 76 \( \text{S} \, \text{cm}^{-1} \) at infinite dilution. The equivalent conductance of \( \text{BaCl}_2 \) at infinite dilution will be:

• A. 330 \( \Omega^{-1} \text{cm}^2 \)
• B. 203 \( \Omega^{-1} \text{cm}^2 \)
• C. 139 \( \Omega^{-1} \text{cm}^2 \)
• D. 51 \( \Omega^{-1} \text{cm}^2 \)

Hint:

The equivalent conductance at infinite dilution is the sum of the conductances of the ions involved.

Answer 1

The Correct Option is C

Step 1: Calculate equivalent conductance.
The equivalent conductance of a salt at infinite dilution is the sum of the conductances of its ions: \[ \Lambda = \lambda_{\text{Ba}^{2+}} + \lambda_{\text{Cl}^-} = 127 + 76 = 139 \, \Omega^{-1} \text{cm}^2 \] Thus, the correct answer is (3).