Question:
The limiting molar conductances of NaCl, HCl and CH\(_3\)COONa at 300 K are 126.4, 425.9 and 91.0 S cm\(^2\) mol\(^-1\) respectively. The limiting molar conductance of acetic acid at 300 K is:
The limiting molar conductances of NaCl, HCl and CH\(_3\)COONa at 300 K are 126.4, 425.9 and 91.0 S cm\(^2\) mol\(^-1\) respectively. The limiting molar conductance of acetic acid at 300 K is:
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The limiting molar conductance is the maximum conductance when the concentration of the electrolyte approaches zero.
Updated On: Mar 7, 2025
- \(266 \, {S cm}^2 \, {mol}^{-1}\)
- \(390.5 \, {S cm}^2 \, {mol}^{-1}\)
- \(461.3 \, {S cm}^2 \, {mol}^{-1}\)
- \(208 \, {S cm}^2 \, {mol}^{-1}\)
- \(108 \, {S cm}^2 \, {mol}^{-1}\)
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The Correct Option is B
Solution and Explanation
We use the formula for the limiting molar conductance of acetic acid:
\[
\Lambda_m = \Lambda_m ({NaCl}) + \Lambda_m ({HCl}) - \Lambda_m ({CH}_3{COONa})
\]
Substituting the given values:
\[
\Lambda_m = 126.4 + 425.9 - 91.0 = 390.5 \, {S cm}^2 \, {mol}^{-1}
\]
Thus, the limiting molar conductance of acetic acid is \(390.5 \, {S cm}^2 \, {mol}^{-1}\).
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