Continuous variations method Jobs method Prelab questions 1
Continuous variations method (Job\'s method) Pre-lab. questions: 1- A divalent metal ion (M2+) reacts with a ligand (L) to form a 1:1 complex. Calculate the Concentration of M2+ in a solution prepared by mixing equal volumes of 0.20 M (M2+) and 0.2 M (L). KF = 1.0 X 108 2-Derive the equation n = X/(1-X)
Solution
Let the metal ion react with the ligand according to the following equation:
M2+ +L --->[ML]2+ (1:1 ratio)
Kf=formation constant=[ML]2+/[M2+][L]
For equal volume,V of M and L
mol of M and L=[M]=[L]=0.2M*V
[M]=[L]=0.2MV/2V=0.1M
ICE table
keq=1/kf=[M][L]/[ML2+]=x^2/0.1-x
1/1.0*10^8=x^2/0.1-x
10^-8=x^2/0.1 [x<<<0.1]
10^-8=x^2/0.1
x=0.316*10^-8M=
[M2+] =x=3.16*10^-9M (Answer)
| [M2+] | [L] | [ML]2+ | |
| initial | 0.1M | 0.1M | 0 |
| change | 0.1-0.1 | 0.1-0.1 | 0.1 |
| completion | 0 | 0 | 0.1 |
| equilibrium | x | x | 0.1-x |
