At 298, the limited molar conductivity at infinite dilution of sodium benzoate, hydrochloric acid and sodium chloride are 8.24 ï‚´ 10ï€3 S m2 molï€1, 4.26 ï‚´ 10ï€2 S m2 molï€1 and 1.26 ï‚´ 10ï€2 respectively. Calculate the limiting molar conductivity of aqueous benzoic acid.
The limiting molar conductivity (\( \Lambda^\circ \)) of a substance at infinite dilution can be calculated using the Kohlrausch's law of independent migration of ions. According to this law, the \( \Lambda^\circ \) of an electrolyte is the sum of the \( \Lambda^\circ \) values of its constituent ions.
The ionic equation for the dissociation of sodium benzoate (\( \text{C}_6\text{H}_5\text{COONa} \)) in water is as follows:
\( \text{C}_6\text{H}_5\text{COONa} \rightarrow \text{C}_6\text{H}_5\text{COO}^- + \text{Na}^+ \)
So, the limiting molar conductivity of sodium benzoate (\( \Lambda^\circ_{\text{C}_6\text{H}_5\text{COONa}} \)) is the sum of the \( \Lambda^\circ \) values for the \( \text{C}_6\text{H}_5\text{COO}^-
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