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 ^(3)`
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 to `10Å` and for colloidal solution, diameter range is 10 to `1000Å.` Taking the lower limits,
`(V _(c))/(V _(s)) = ((4)/(3 ) pi r _(c ^(3)))/((4)/(3) pi r _(s) ^(3)) = ((r_(c))/(r _(s)))^(3)`
Putting ratio of diameters in place of `(r _(c))/(r _(s))`
Ratio of diameters `= ((10)/(1)) ^(3) = 10 ^(3)`
`therefore (V _(c))/(V _(s)) ~~ 10 ^(3)`