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(D) The Critical Micelle Concentration $(CMC)$ of a surfactant decreases as the length of the hydrophobic hydrocarbon chain increases.This is because

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$CH_3(CH_2)_{15}N^{+}(CH_3)_3Br^{-}$

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(D) The Critical Micelle Concentration $(CMC)$ of a surfactant decreases as the length of the hydrophobic hydrocarbon chain increases.This is because a longer chain increases the hydrophobic effect and the van der Waals forces of attraction between the hydrocarbon tails,which stabilizes the micelle structure.Comparing the given options:$A$: $C_9$ chain$B$: $C_{12}$ chain$C$: $C_{14}$ chain$D$: $C_{16}$ chainSince $CH_3(CH_2)_{15}N^{+}(CH_3)_3Br^{-}$ has the longest hydrocarbon chain $(C_{16})$,it will have the strongest hydrophobic interactions and will form micelles at the lowest molar concentration.

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

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