Question:

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

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The equivalent conductance of a salt at infinite dilution is the sum of the ionic conductances of its constituent ions.
Updated On: Apr 22, 2026
  • 139.5
  • 203
  • 279
  • 101.5
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The Correct Option is B

Solution and Explanation

Step 1: Understanding the ionic conductance at infinite dilution.
The equivalent conductance at infinite dilution for a salt like BaCl\(_2\) is the sum of the ionic conductances of the ions: \[ \Lambda^0_{BaCl_2} = \Lambda^0_{Ba^{2+}} + \Lambda^0_{Cl^-} \]

Step 2: Substituting the given values.

Given
\( \Lambda^0_{Ba^{2+}} = 127 \, \text{ohm}^{-1}\text{cm}^2 \) and,
\( \Lambda^0_{Cl^-} = 76 \, \text{ohm}^{-1}\text{cm}^2 \),
we add them:
\[ \Lambda^0_{BaCl_2} = 127 + 76 = 203 \, \text{ohm}^{-1}\text{cm}^2 \]

Step 3: Conclusion.

The correct answer is (2) 203
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