b) Conductivity measurements were one of the first methods used to determine the ionization constant of water (Kw). The ionization constant of water is given by the following equation: Kw = (a+)(aon-) = ) 1 M Given that: т a = Y+ X ma m° = 1 mol kg. Quantities a, y+ and m denote activity, mean activity coefficient and concentration. • log y+ = -|Z,Z_]A/Im, A = 0.509 for aqueous solution at 25 °C. • Assume that Y+ = 1 and water is a weak electrolyte with degree of dissociation of a. %3D Using the expression provided, show that the molar conductivity of pure water (A) can be 1/2 written as A(H20) = (1 M)K²[1,(H*)+ 1.(OH¯)]. Quantity Ao denotes molar ionic conductivity at infinite dilution. [A(H,0) = 5.5 × 10-6 S m-1 and Kw = 10-14] %3D %3D Kohlrausch and Heydweiller measured the conductivity of water in 1894 and determined that A(H20) = 5.5 × 10-6 S m-1 at 298 K. Using the information provided in Table 1, %3D determine Kw.

b) Conductivity measurements were one of the first methods used to determine the ionization constant of water (Kw). The ionization constant of water is given by the following equation: Kw = (a+)(aon-) = ) 1 M Given that: т a = Y+ X ma m° = 1 mol kg. Quantities a, y+ and m denote activity, mean activity coefficient and concentration. • log y+ = -|Z,Z_]A/Im, A = 0.509 for aqueous solution at 25 °C. • Assume that Y+ = 1 and water is a weak electrolyte with degree of dissociation of a. %3D Using the expression provided, show that the molar conductivity of pure water (A) can be 1/2 written as A(H20) = (1 M)K²[1,(H*)+ 1.(OH¯)]. Quantity Ao denotes molar ionic conductivity at infinite dilution. [A(H,0) = 5.5 × 10-6 S m-1 and Kw = 10-14] %3D %3D Kohlrausch and Heydweiller measured the conductivity of water in 1894 and determined that A(H20) = 5.5 × 10-6 S m-1 at 298 K. Using the information provided in Table 1, %3D determine Kw.

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

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