Three graphs for R(CH_2)_nCOONa are shown. Th | vedclass

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(A) The given graphs represent the variation of molar conductivity $(\Lambda_m^c)$ with the square root of concentration $(\sqrt{c})$ for surfactants.

Vedclass · Accepted Answer

$I-16, II-12, III-8$

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(A) The given graphs represent the variation of molar conductivity $(\Lambda_m^c)$ with the square root of concentration $(\sqrt{c})$ for surfactants. The sharp decrease in conductivity corresponds to the Critical Micelle Concentration $(CMC)$.As the length of the hydrophobic tail (represented by '$n$' in $R(CH_2)_nCOONa$) increases,the hydrophobicity increases,which facilitates micelle formation at lower concentrations.Therefore,$CMC \propto \frac{1}{	ext{Size of tail}}$.Looking at the graphs,the $CMC$ values (the point of the sharp break) follow the order: $I This implies the tail size follows the order: $I > II > III$.Matching this with the given options,graph $I$ corresponds to the largest '$n$' $(16)$,graph $II$ to $12$,and graph $III$ to $8$.

Three graphs for $R(CH_2)_nCOONa$ are shown. The correct values of '$n$' for graphs $I, II,$ and $III$ may be matched as:

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