Under ambient conditions, which among the following surfactants...

Under ambient conditions, which among the following surfactants will form micelles in aqueous solution at lowest molar concentration?

Options

A ${CH}_{3}{\left({\text{ CH }}_{2}\right)}$ _{11}\overset{⊕}{N}{ $\left({CH}_{3}\right)}_{3}{Br}^{_}$
B ${CH}_{3} - {\left({CH}_{2}\right)}_{13} - {OSO}_{3}^{-}{Na}^{+}$
C ${CH}_{3}{\left({CH}_{2}\right)}_{15}\overset{⊕}{N}{\left({CH}_{3}\right)}_{3}\overset{⊝}{Br}$
D ${CH}_{3} — {\left({CH}_{2}\right)}_{8} — {COO}^{⊝}{Na}^{+}$

Correct answer

C. ${CH}_{3}{\left({CH}_{2}\right)}_{15}\overset{⊕}{N}{\left({CH}_{3}\right)}_{3}\overset{⊝}{Br}$

Step-by-step solution

CMC is inversely related to the length of hydrophobic chain.

{C}_{16}{H}_{33}{N}^{+}{\left(C{H}_{3}\right)}_{3}B{r}^{-} forms cationic micelle with longest hydrophobic chain and at lowest CMC value.

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