Model III Data

The System

The sources of data used to determine mixture parameters W, Q and U in the activity coefficient equations for this ternary (3 ion) system are listed in Table 6 of Clegg et al. (1997). Fits of the model are described in that paper, and in section 3.17 of Clegg et al. (1998b). The following types of data were considered:

Saturation with respect to the solids Na2SO4.10H2O(s), Na2SO4(s), NaNO3(s), and NaNO3.Na2SO4.H2O(s) in the ternary solution.
Osmotic coefficients from electrodynamic balance measurements (not fitted).

References:
S. L. Clegg, P. Brimblecombe, Z. Liang and C. K. Chan (1997) Aerosol Science and Technology 27, 345-366.
S. L. Clegg, P. Brimblecombe and A. S. Wexler (1998b) J. Phys. Chem. A 102, 2155-2171.

Weights

The values listed in the tables below are based upon those used in the fits of the model. However, they have been normalised for each type of measurement so that the maximum weight for a data point in each table is always unity. Points given zero weight are those which either appear to be in error, or are used for comparison only (and were not fitted). Points with a weight of "-" are outside the temperature or concentration limits of the current model, and have not been assessed for accuracy.

The Data

The experimental data used to fit the activity coefficient model are listed in the tables below. Notes at the end of each one define the tabulated quantities, and identify the sources of the measurements. Electrodynamic balance measurements (yielding osmotic coefficients of supersaturated solutions) used by Clegg et al. (1997) are given in Table 2.

(1) Solubilities of Solid Phases

  mNaNO3  mNa2SO4      t      solid    ref.     weight   
  0.0000  1.9834     25.00      10    a(3060)     0.0            
  0.6295  1.8150     25.00      10    a(3060)     0.0            
  1.7496  1.5347     25.00      10    a(3060)     0.0            
  2.5936  1.6512     25.00      10    a(3060)     0.0            
  3.0866  1.6364     25.00      10    a(3060)     0.0            
  3.6064  1.6347     25.00      10    a(3060)     0.0            
  4.1395  1.6703     25.00      10    a(3060)     0.0            
  4.1752  1.6846     25.00      10    a(3060)     0.0            
  4.1752  1.6846     25.00       3    a(3060)     0.0            
  4.1785  1.6612     25.00      10    a(3060)     0.0            
  4.1785  1.6612     25.00       3    a(3060)     0.0            
  5.1341  1.3205     25.00      10    a(3060)     0.0            
  5.1341  1.3205     25.00       3    a(3060)     0.0            
  5.9024  1.0341     25.00       1    a(3060)     0.0            
  5.9024  1.0341     25.00       3    a(3060)     0.0            
  6.6788  0.8961     25.00       1    a(3060)     0.0            
  6.6788  0.8961     25.00       3    a(3060)     0.0            
  7.5166  0.8352     25.00       1    a(3060)     0.0            
  7.5166  0.8352     25.00       3    a(3060)     0.0            
  8.6904  0.7110     25.00       1    a(3060)     0.0            
  8.6904  0.7110     25.00       3    a(3060)     0.0            
  9.9721  0.6846     25.00       1    a(3060)     0.0            
  9.9721  0.6846     25.00       3    a(3060)     0.0            
  9.9771  0.7136     25.00       1    a(3060)     0.0            
  9.9771  0.7136     25.00       3    a(3060)     0.0            
 10.0993  0.6727     25.00       1    a(3060)     0.0            
 10.0593  0.6859     25.00       1    a(3060)     0.0            
 10.3270  0.4271     25.00       1    a(3060)     0.0            
 10.9093  0.1025     25.00       1    a(3060)     0.0            
 10.8176  0.0000     25.00       1    a(3060)     0.0            
 10.5358  0.2128     25.00       1     b          0.5000 
 10.2769  0.4149     25.00       1     b          0.5000                    
 10.2769  0.4149     25.00       3     b          0.3333            
 10.2729  0.4121     25.00       1     b          0.5000            
 10.2729  0.4121     25.00       3     b          0.3333                                      
 10.0917  0.4603     25.00       3     b          0.3333            
  9.5395  0.4953     25.00       3     b          0.3333            
  7.9028  0.7739     25.00       3     b          0.3333            
  6.2338  1.2234     25.00       3     b          0.3333            
  5.8632  1.3438     25.00       3     b          0.3333            
  5.4685  1.5002     25.00       3     b          0.3333            
  5.2731  1.5776     25.00       3     b          0.3333            
  5.2731  1.5776     25.00       2     b          1.0000            
  5.2643  1.5632     25.00       3     b          0.3333            
  5.2643  1.5632     25.00       2     b          1.0000            
  5.0622  1.6256     25.00       2     b          1.0000            
  4.8701  1.7018     25.00       2     b          1.0000 
  4.8701  1.7018     25.00      10     b          0.5000 
  4.8231  1.7106     25.00       2     b          1.0000 
  4.8231  1.7106     25.00      10     b          0.5000 
  3.8975  1.6281     25.00      10     b          0.5000 
  2.0910  1.6384     25.00      10     b          0.5000 
  0.0000  1.9511     25.00      10     b          0.5000 
 10.9046  0.0000     25.00       1     c          0.5000           
 10.3925  0.4171     25.00       1     c          0.5000         
 10.3925  0.4171     25.00       3     c          0.3333                                   
 10.3666  0.3955     25.00       1     c          0.5000         
 10.3666  0.3955     25.00       3     c          0.3333         
  8.3602  0.6152     25.00       3     c          0.0            
  6.0914  1.3045     25.00       3     c          0.3333         
  5.2417  1.6319     25.00       2     c          1.0000         
  5.2417  1.6319     25.00       3     c          0.3333         
  5.1496  1.6436     25.00       2     c          1.0000         
  5.1496  1.6436     25.00       3     c          0.3333         
  4.8942  1.7125     25.00       2     c          1.0000         
  4.7823  1.7350     25.00       2     c          1.0000         
  4.7823  1.7350     25.00      10     c          0.5000         
  4.6866  1.7673     25.00       2     c          1.0000         
  4.6866  1.7673     25.00      10     c          0.5000         
  4.8262  1.7823     25.00       2     c          1.0000                                     
  4.8262  1.7823     25.00      10     c          0.5000         
  3.9767  1.7358     25.00      10     c          0.5000         
  2.9446  1.6791     25.00      10     c          0.5000         
  1.1230  1.7786     25.00      10     c          0.5000         
  0.0000  1.9569     25.00      10     c          0.5000         
 10.9046  0.0000     25.00       1     d          0.5000         
 10.2848  0.4207     25.00       1     d          0.5000         
 10.2848  0.4207     25.00       3     d          0.3333         
  8.5634  0.6456     25.00       3     d          0.3333         
  8.2062  0.6982     25.00       3     d          0.3333         
  7.1949  0.9199     25.00       3     d          0.3333         
  6.3807  1.1478     25.00       3     d          0.3333         
  5.1045  1.6392     25.00       2     d          1.0000         
  5.1045  1.6392     25.00       3     d          0.3333         
  4.7367  1.7221     25.00       2     d          1.0000         
  4.7367  1.7221     25.00      10     d          0.5000         
  3.9584  1.6487     25.00      10     d          0.5000         
  2.4904  1.6759     25.00      10     d          0.5000         
  1.4567  1.7086     25.00      10     d          0.5000         
  0.0000  1.9569     25.00      10     d          0.5000         
  0.0000  1.9719     25.00      10     e          0.5000         
  2.1670  1.6678     25.00      10     e          0.5000         
  4.5035  1.8103     25.00      10     e          0.5000         
  4.5035  1.8103     25.00       2     e          1.0000         
  5.0241  1.6736     25.00       2     e          0.0            
  5.0241  1.6736     25.00       4     e          0.0            
  5.1008  1.5792     25.00       4     e          0.0            
  6.5663  1.1088     25.00       4     e          0.0            
  6.5663  1.1088     25.00       3     e          0.0            
  6.8625  1.0129     25.00       3     e          0.3333         
  7.3087  0.8604     25.00       3     e          0.3333         
  8.9723  0.5902     25.00       3     e          0.3333         
  9.4971  0.5356     25.00       3     e          0.3333         
 10.6992  0.4358     25.00       3     e          0.0            
 10.6992  0.4358     25.00       1     e          0.5000         
 10.6327  0.0000     25.00       1     e          0.5000         
  0.0000  1.9672     25.00      10     f          0.5000  
  1.1735  1.6446     25.00      10     f          0.0     
  4.5290  1.8159     25.00      10     f          0.5000  
  4.5290  1.8159     25.00       2     f          1.0000         
  4.6784  1.7953     25.00       2     f          1.0000         
  5.1001  1.6634     25.00       2     f          1.0000         
  5.1001  1.6634     25.00       3     f          0.3333                         
  5.6129  1.4019     25.00       3     f          0.3333         
  6.5977  1.0920     25.00       3     f          0.3333         
  8.5152  0.6954     25.00       3     f          0.3333         
 10.5577  0.4145     25.00       3     f          0.3333         
 10.5577  0.4145     25.00       1     f          0.5000         
 10.7269  0.0000     25.00       1     f          0.5000

Notes and References

Prefix m denotes molality; t - experimental temperature (^oC); solid - identity of the solid which the solution is saturated with respect to; ref. - source of data; weight - the weight given to the data point in the fit of the model (normalised).
Solids: 10 = Na2SO4.10H2O(s), 2 = Na2SO4(s), 1 = NaNO3(s), 3 = NaNO3.Na2SO4.H2O(s), 4 = 3NaNO3.4Na2SO4(s), 0 = ice.
Sources: a - H. L. Silcock, Solubilities of Inorganic and Organic Compounds, Vol. 3, Pergamon, Oxford, 1979, (the table numbers are given in parentheses); b - A. Chretien (1929) Ann. Chim. 12, 9-155; c - H. W. Foote (1925) Amer. J. Sci. 9, 441-447; d - A. Benrath (1928) Z. Anorg. Allg. Chem. 170, 257-287; e - A. Massink (1917) Z. Physik. Chem. 92, 351-380; f - M. A. Hamid (1926) J. Chem. Soc. 199-205.
The solid 3NaNO3.4Na2SO4(s) may have been misidentified by the authors.

(2) Osmotic Coefficients from Electrodynamic Balance Measurements

  mNaNO3  mNa2SO4     t     osm      np   ref.  weight     
  2.8637   0.9546    25    1.1682    1     g      -       
  4.3610   1.4537    25    0.7882    1     g      -       
  4.7836   1.5945    25    0.7902    1     g      -       
  5.3330   1.7777    25    0.8091    1     g      -       
  6.3861   2.1287    25    0.8245    1     g      -       
  7.2384   2.4128    25    0.8544    1     g      -       
  8.6947   2.8983    25    0.8661    1     g      -       
  9.6728   3.2243    25    0.8525    1     g      -       
 10.8368   3.6123    25    0.8291    1     g      -       
 12.3053   4.1018    25    0.7851    1     g      -       
 14.5793   4.8598    25    0.7241    1     g      -       
 16.8300   5.6100    25    0.6712    1     g      -       
  4.4594   1.4865    25    0.7972    2     g      -       
  4.5805   1.5268    25    0.7998    2     g      -       
  4.9951   1.6650    25    0.7695    2     g      -       
  5.5310   1.8437    25    0.7853    2     g      -       
  6.1180   2.0393    25    0.8187    2     g      -       
  6.8505   2.2835    25    0.8224    2     g      -       
  8.0670   2.6890    25    0.8533    2     g      -       
  9.2873   3.0958    25    0.8467    2     g      -       
  9.9780   3.3260    25    0.8489    2     g      -       
 11.2913   3.7638    25    0.8218    2     g      -       
 12.8528   4.2843    25    0.7698    2     g      -       
 14.2905   4.7635    25    0.7274    2     g      -       
 15.4455   5.1485    25    0.6998    2     g      -       
 16.1085   5.3695    25    0.6886    2     g      -       
 2.6033    2.6033    25    0.7972    1     g      -       
 2.6370    2.6370    25    0.8132    1     g      -       
 2.7490    2.7490    25    0.8157    1     g      -       
 3.0631    3.0631    25    0.7992    1     g      -       
 3.4384    3.4384    25    0.8500    1     g      -       
 3.9130    3.9130    25    0.8802    1     g      -       
 4.3814    4.3814    25    0.8941    1     g      -       
 4.9254    4.9254    25    0.8982    1     g      -       
 5.5120    5.5120    25    0.8842    1     g      -       
 6.3120    6.3120    25    0.8514    1     g      -       
 6.8585    6.8585    25    0.8370    1     g      -       
 7.8040    7.8040    25    0.8020    2     g      -       
 2.4571    2.4571    25    0.7878    2     g      -       
 2.5163    2.5163    25    0.8014    2     g      -       
 2.6723    2.6723    25    0.8068    2     g      -       
 2.9533    2.9533    25    0.8231    2     g      -       
 3.2244    3.2244    25    0.8378    2     g      -       
 3.5127    3.5127    25    0.8558    2     g      -       
 3.8384    3.8384    25    0.8714    2     g      -       
 4.3352    4.3352    25    0.8992    2     g      -       
 4.7206    4.7206    25    0.9039    2     g      -       
 5.2325    5.2325    25    0.8879    2     g      -       
 5.8035    5.8035    25    0.8753    2     g      -       
 6.5295    6.5295    25    0.8430    2     g      -       
 7.0805    7.0805    25    0.8362    2     g      -       
 7.6495    7.6495    25    0.8207    2     g      -