Volume of a colloidal particle, `V_C` as compared to the volume of a solute particle in a true solution, `V_S` could be

Options

A. `V_C/V_S~~1`
B. `V_C/V_S~~10^23`
C. `V_C/V_S~~10^-3`
D. `V_c/V_S~~10^3`

Answer

D

Explanation

For true solution:
The diameter range is `1 dotA`
For colloidal solution:
Diameter range is `10 dotA` to 1000 `dotA`
Consider, particle as sphere and its volume is given as follow:
`V=4/3 pir^3 i.e., V prop r^3`
`V_C/V_S = (r_C/r_S)^3`
Using their lower limit values,
`r_C=d_C/2=10/2=5 dotA`
`r_S=d_S/2=1/2=0.5 dotA`
`V_C/V_S=(5/0.05)^3=125/0.125=1000`
`V_C/V_S~~10^3`