1- Calculate activity coefficient of Mg2+ in a 0.0100 M MgCl2 solution.
a - By linear interpolation data in table 7-1
b - By using extended Debye-Huckel equation
a) From the data given we find,
Ionic strength(micro Molar) | Activity coeffcient | -log(activity coefficient) |
0.001 | 0.872 | 0.059483515 |
0.005 | 0.755 | 0.122053048 |
0.01 | 0.69 | 0.161150909 |
0.05 | 0.52 | 0.283996656 |
0.1 | 0.45 | 0.346787486 |
Plotting log(activity coefficient), log() versus ionic strength, we get
Based on the curve fit we find,
log() = 0.063 * Ionic strength + 0.474
At Ionic strength = 0.01M,
log() = 0.063*ln(0.01) + 0.474
= 0.183874
Therefore,
for Mg2+ from interpolation = exp(-0.183874)
for Mg2+ from interpolation = 0.83204
b) From Debye-Huckel theory,
log() = - A*z1*z2*I^0.5
where A = 0.509,
z1 is the charge on the ion 1
z1 is the charge of the ion 2
I is the ionic strength given by
I =0.5* Cizi^2
For MgCl2,
I = 0.5* (0.01*2^2+0.02*1^2)
= 0.03
log() = - 0.509*2*1*(0.03)^0.5
= - 0.176323
Therefore,
for Mg2+ from Debye Huckel theory = exp(-0.176323)
for Mg2+ from Debye Huckel theory = 0.838347
1- Calculate activity coefficient of Mg2+ in a 0.0100 M MgCl2 solution. a - By linear...
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