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A soap $(C_{17} H_{35} COONa)$ solution becomes a colloidal sol at a concentration of $1.2 \times 10^{- 3} M$ . On the average, $2.4 \times 10^{13}$ colloidal particles are present in $1 {mm}^{3}$ . What is the average number of stearate ions in one colloidal particle (micelle) : Take : Avogadro's number $= 6 \times 10^{23}$

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answer is 30.

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Detailed Solution

$1.2 \times 10^{- 3}$ moles per 1lt (or) $10^{6}$ mm of liq
? per mm
$7.2 \times 10^{14}$ soap molecular per mm
Then $2.4 \times 10^{3}$ colloidal particles $\approx 7.2 \times 10^{14}$ soap molecules
1 colloidal particle $≃$ ? = 30

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