Calculate ionic strength of a solution obtained by mixing aqueous solu...
Calculation of Ionic Strength:
To calculate the ionic strength of a solution, we need to determine the concentration of each ion present and the valence of each ion. The ionic strength is calculated using the formula:
Ionic Strength (I) = (1/2) * ∑(ci * zi^2)
where ci is the concentration of each ion and zi is the valence of each ion.
Calculating Concentrations:
First, we need to determine the concentration of each ion in the solution.
- AlCl3: The concentration of AlCl3 is given as 0.02 M. Since AlCl3 dissociates into one Al3+ ion and three Cl- ions, the concentration of Al3+ is also 0.02 M, and the concentration of Cl- is (3 * 0.02) M = 0.06 M.
- K2SO4: The concentration of K2SO4 is given as 0.04 M. Since K2SO4 dissociates into two K+ ions and one SO42- ion, the concentration of K+ is (2 * 0.04) M = 0.08 M, and the concentration of SO42- is 0.04 M.
- Urea: The concentration of urea (CH4N2O) is given as 0.02 M. Urea does not dissociate into ions in water, so the concentration of each ion is zero.
Calculating Ionic Strength:
Using the concentrations obtained above, we can calculate the ionic strength.
- For Al3+: (1/2) * (0.02 M * 3^2) = (1/2) * 0.18 M = 0.09 M
- For Cl-: (1/2) * (0.06 M * 1^2) = (1/2) * 0.06 M = 0.03 M
- For K+: (1/2) * (0.08 M * 2^2) = (1/2) * 0.32 M = 0.16 M
- For SO42-: (1/2) * (0.04 M * 1^2) = (1/2) * 0.04 M = 0.02 M
- For urea: Since urea does not dissociate into ions, its contribution to the ionic strength is zero.
Now, we can sum up the contributions from each ion:
Ionic Strength (I) = 0.09 M + 0.03 M + 0.16 M + 0.02 M + 0 M = 0.30 M
Explanation:
The ionic strength of a solution is a measure of the total concentration of ions present in the solution. It takes into account both the concentration and valence of each ion.
In this case, we calculated the concentrations of Al3+, Cl-, K+, and SO42- ions based on the given concentrations of AlCl3 and K2SO4. We also considered the fact that urea does not dissociate into ions. Then, we used the formula for calculating ionic strength to determine the ionic strength of the solution.
The ionic strength of the solution obtained by mixing the given solutions is