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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.

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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 = (aµ+)(aoH-) = M ) Given that: т a = Y+ X m° = 1 mol kg. Quantities a, V+ 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. Using the expression provided, show that the molar conductivity of pure water (A) can be -1/2 written as A(H20) = (1 M)K²[^.(H*)+ A,(OH¯)]. Quantity 1, denotes molar ionic conductivity at infinite dilution. [A(H20) = 5.5 × 10-6 S m¬1 and Kw = 10-14] %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, determine Kw. Table 1 Cation A. (01 cm? mol) Anion Ao ( cm? mol-1) H3O* or H* 350.0 OH 199.2 NH4+ 73.5 Br 78.1 K+ 73.5 CI- 76.3 Na* 50.1 76.8 Ag* 62.1 NO3 71.4 Ca+ 118.0 CH3COO 40.8 Mg2+ 106.1 SO,2- 159.6
Transcribed Image Text: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 = (aµ+)(aoH-) = M ) Given that: т a = Y+ X m° = 1 mol kg. Quantities a, V+ 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. Using the expression provided, show that the molar conductivity of pure water (A) can be -1/2 written as A(H20) = (1 M)K²[^.(H*)+ A,(OH¯)]. Quantity 1, denotes molar ionic conductivity at infinite dilution. [A(H20) = 5.5 × 10-6 S m¬1 and Kw = 10-14] %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, determine Kw. Table 1 Cation A. (01 cm? mol) Anion Ao ( cm? mol-1) H3O* or H* 350.0 OH 199.2 NH4+ 73.5 Br 78.1 K+ 73.5 CI- 76.3 Na* 50.1 76.8 Ag* 62.1 NO3 71.4 Ca+ 118.0 CH3COO 40.8 Mg2+ 106.1 SO,2- 159.6
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