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. 

Transcribed Image Text:

MHCI 0.0005 0.001 0.005 0.01 0.05 Y± 0.975 0.965 0.928 0.904 0.830 211 Å = 1 angstrom = 10-¹0 m; L = MHCI 0.1 0.5 1.0 liter = 3 5 10-3 m³. Y+ 0.796 0.757 0.809 1.316 2.38 MHCI 8 10 12 14 16 Y+ 5.90 10.44 17.25 27.3 42.4