Answer :
The osmotic pressure is greater in the FeCl3 solution. The FeCl3 is an ionic compound, so it dissociates into Fe3+ and 3Cl-, creating 4 overall particles, while the glucose remains as 1 particle. The water increases in the FeCl3 to compensate for that added particle concentration.
Explanation:
Osmotic pressure is defined as the minimum pressure which has to applied on the solution to prevent the entry of the solvent in the solution through a semi-permeable membrane.
It is a type of colligative property which means it depends on the amount of the solution. More the amount, more will be the osmotic pressure.
Mathematically,
[tex]\pi =icRT[/tex]
[tex]\pi [/tex] = Osmotic pressure
i = Vant's Hoff factor which is 1 for non-electrolyte solutions
c = Concentration of solution
R = Solution constant
T = temperature
- For [tex]FeCl_3[/tex]
As Ferric chloride is an electrolyte, so it will completely dissociate into its ions.
1 mole of ferric chloride will dissociate into 1 [tex]Fe^{3+}[/tex] ion and 3 [tex]Cl^-[/tex] ions.
[tex]FeCl_3\rightarrow Fe^{3+}+3Cl^-[/tex]
Here, value of i = 4
- For Glucose
Glucose is a non-electrolyte and hence will not dissociate into the respective ions. So, value of i = 1
Osmotic pressure will be high for high value of 'i'. Therefore, osmotic pressure of [tex]FeCl_3[/tex] will be high as compared to the glucose in same amount of water.