A detergent `(C_(12)H_(25)SO^(4)^(-)Na^(+))` solution becomes colloidal sol at a concentration of `10^(-3)`M . On an average `10^(13)` colloidal partcles are present in `1mm^(3)` . What is the average number of ions which are contained by one colloidal particle (micelle)?

Options

A. `6xx10^(7)`
B. 10
C. 60
D. None of these

Answer

C

Explanation

No. of sodium lauryl sulphate molecules `(CH_(3)(CH_(2))_(11) SO_(4)^(-) Na^(+))` in 1 litre solution
`= 10^(-3) xx 6xx 10^(23)`
`= 6xx10^(20)`
No. of sodium lauryle sulphate molecules per mm `= 6 xx10^(14)`
No. of colloidal particles per `mm^(3)=10^(13)`
No. of molecules per colloidal particle
`=(6xx10^(14))/(10^(13))`=