Question 9.10.2: Another Electrolyte Solution Example The following data are ...

Another Electrolyte Solution Example

The following data are available for the mean ionic activity coefficient of sodium chloride in water at 25°C.

Molality \gamma_{\pm} Molality \gamma_{\pm}
0.0 1.00 2.0 0.669
0.1 0.778 3.0 0.714
0.25 0.72 4.0 0.782
0.5 0.681 5.0 0.873
0.75 0.665 6.0 0.987
1.0 0.657

a. Compare the predictions of the Debye-Huckel limiting law with these data:

\ln \gamma_{\pm}=-1.178 \sqrt{I} (1)

where I is the ionic strength.

b. Compare the predictions of the following version of the extended Debye-Huckel limiting law with these data.

\ln \gamma_{\pm}=-\frac{1.178 \sqrt{I}}{1+\sqrt{I}} (2)

c. Correlate the data with the following expression, in which δ is an adjustable parameter.

\ln \gamma_{\pm}=-\frac{1.178 \sqrt{I}}{1+\sqrt{I}}+\delta I (3)

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The results are given in the figure below. Clearly, only Eq. 3, with a fitted value of δ = 0.137, gives an acceptable description of the experimental data over the whole concentration range.

9.10.2

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