Table 12-1 Activity coefficients for aqueous solutions at 25°C\" Ion size Ionic
ID: 557922 • Letter: T
Question
Table 12-1 Activity coefficients for aqueous solutions at 25°C" Ion size Ionic strength ( M) Ion (, pm) 0.001 0.005 0.01 0.05 0.1 Activity coefficient () 9000.967 0.933 0.914 0.86 0.83 8000.966 0.931 0.912 0.85 0.82 7000.965 0.930 0.909 0.845 0.81 Charge (z) = ±1 CH-CHCH2C0%, (CHJ2CHCH2C0%, (CH,CHJ4N+, (C3H7)2NH3 600 0.965 0.929 0.907 0.835 0.80 500 0.964 0.928 0.904 0.83 0.79 Co(NH3)4(NO2):, CH3C0%, CICH2C0%, (CH3)4N (CH3CH2)2NH2, H2NCH2CO2 H3NCH CO,H, (CH3)3NH+, CH3CH2NH3 OH , F , SCN", OCN , HS , ClO3, CIO4, BrO3, IO4, MnO4, HCO7, H2citrate, CHzNHj, (CH32NHz K, Cl, Br , I, CN, NO2, NO3 Rbf, Cs*, NH, TI, Ag 450 0.964 0.928 0.902 0.82 0.775 400 0.964 0.927 0.901 0.815 0.77 350 0.964 0.926 0.900 0.81 0.76 300 0.964 0.925 0.899 0.805 0.755 250 0.964 0.924 0.898 0.80 0.75 Activity coefficient (Y) 800 0.872 0.755 0.69 0.52 0.45 7000.872 0.755 0.685 0.50 0.425 Charge (z) = ±2 Mg2*, Be2+ Ca2+, Cu2+, Zn2+, Sn2+, Mn2+, Fe2+, Ni2+, Co2+, c,H(CO22 6000.870 0.749 0.675 0.485 0.40:5 Sr*, Ba2+, Cd2+, Hg2+, S2-, S,O2 , woi, H,C(CO2)2 (CH2CO22, (CHOHCO2)2 500 0.868 0.744 0.67 0.465 0.38 Hcitrate 450 0.867 0.742 0.665 0.455 0.37 400 0.867 0.740 0.660 0.445 0.355Explanation / Answer
How many grams of PbI2 can be dissolved in 1000 mL of a 0.100 M KI solution at 25 oC?
Activity of X = x * [X]
Where:
Activity coefficient () of “x”
[X] = molar concentration concentration of X
Note that Activity coefficient () depends on
Can be found in activity tables as well, with ionic strength of ions from 0.001 0.005 0.01 0.05 0.1
for
Pb+2 = 0.37
I- = 0.755
then
Now,
PbI2(s) = Pb+(aq) + 2I-(aq)
Ksp = Activity of Pb+2 * (Activity of I- ) ^2
Ksp = YPb2+ *[ Pb2+] * (YI- * [I-])
Ksp = 9.8*10^-9
Ksp = YPb2+ *[ Pb2+] * (YI- * [I-])
9.8*10^-9 =(0.37)(S) * (0.755)^2 * (0.1^2)
S = (9.8*10^-9)/((0.37*(0.755^2)*(0.1^2))
S = 0.000004646 M
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