Develop a Gibbs-Duhem equation for strong electrolyte-water systems, and use this equation and the data in Illustration

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Develop a Gibbs-Duhem equation for strong electrolyte-water systems, and use this equation and the data in Illustration 9.10-1 to compute the activity coefficient of water in aqueous hydrochloric acid solutions at 25°C.

Illustration 9.10-1

Use of Electrolyte Solution Models The data below are for the activity coefficients of HCl in aqueous hydrochloric acid solutions as a function of HCl molality at 25°C. Compare the predictions of the Debye-Huckel model (Eqs. 9.10-15 and 9.10-16), and the extended Debye-Huckel models (Eqs. 9.10-17 and 9.10-18) with these data. 

MHCI 0.0005 0.001 0.005 0.01 0.05 Y 0.975 0.965 0.928 0.904 0.830 211  = 1 angstrom = 10-0 m; L = MHCI 0.1

In Y = -a|z+z-| (9.10-15)

I =  i=ions (9.10-16)

In t In Y+ = = alt=\VI 1 +  a|ztz_|VI 1+  +1 (9.10-17) (9.10-18)

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