The molality of (NH4)2SO4 solution that has the same ionic strength as...
Calculation of Ionic Strength:
Ionic strength is the measure of the concentration of ions in a solution. It is calculated using the formula:
Ionic strength (I) = 1/2 ∑ ci zi^2
Where,
ci = concentration of the ith ion
zi = charge on the ith ion
For 1 mol kg^-1 solution of KCl, the concentration of K+ and Cl- ions is 1 mol kg^-1 each. Therefore,
Ionic strength (I) = 1/2 [ (1 mol kg^-1) (1^2) + (1 mol kg^-1) (1^2) ]
I = 1 mol kg^-1
Calculation of Molality of (NH4)2SO4 solution:
To find the molality of (NH4)2SO4 solution that has the same ionic strength as 1 mol kg^-1 solution of KCl, we need to first calculate the concentration of ammonium and sulfate ions in the solution.
(NH4)2SO4 dissociates to give 2 NH4+ ions and 1 SO4^2- ion. Therefore, the total concentration of ions in the solution is:
Concentration of ions = 2[NH4+] + [SO4^2-]
Let x be the molality of (NH4)2SO4 solution. Then,
Concentration of NH4+ ions = 2x mol kg^-1
Concentration of SO4^2- ion = x mol kg^-1
Using the formula for ionic strength, we can write:
I = 1/2 [ (2x mol kg^-1) (1^2) + (x mol kg^-1) (2^2) ]
1 = 2x + 2x
x = 1/3 mol kg^-1
Therefore, the molality of (NH4)2SO4 solution that has the same ionic strength as 1 mol kg^-1 solution of KCl is 1/3 mol kg^-1.
The molality of (NH4)2SO4 solution that has the same ionic strength as...