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Thermodynamic Quantities for the Ionization Reactions of Buffers

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260 GOLDBERG, KISHORE, AND LENNEN<br />

Values from literature—Continued<br />

pK rH°/(kJ mol 1 ) T/K I Methods and comments Reference<br />

9.1013 318.15 0<br />

9.0766 323.15 0<br />

9.0537 328.15 0<br />

9.0310 333.15 0<br />

14.3 293.15 ? Calorimetry. The value given here was calculated from <strong>the</strong><br />

experimental results <strong>of</strong> Harries et al. 68HAR toge<strong>the</strong>r with <strong>the</strong><br />

value <strong>of</strong> rH° <strong>for</strong> <strong>the</strong> ionization <strong>of</strong> water at T298.15 K calculated<br />

from Eq. 9 <strong>of</strong> Ol<strong>of</strong>sson and Hepler 75OLO/HEP. Harries<br />

68HAR did not specify <strong>the</strong> ionic strength.<br />

9.242 13.5 298.15 0 Electrochemical cell with liquid junction. Mesmer and Baes<br />

9.088 323.15 0<br />

8.998 348.15 0<br />

8.952 373.15 0<br />

8.938 398.15 0<br />

8.950 423.15 0<br />

8.983 448.15 0<br />

9.041 473.15 0<br />

9.135 498.15 0<br />

9.291 523.15 0<br />

9.550 548.15 0<br />

9.970 573.15 0<br />

72MES/BAE obtained pK values <strong>for</strong> <strong>the</strong> reaction<br />

BOH 3OH BOH) 4 at temperatures over <strong>the</strong> range 323<br />

T/K563. The values given here were calculated from <strong>the</strong><br />

equation given by Mesmer and Baes 72MES/BAE in <strong>the</strong>ir abstract<br />

and by using <strong>the</strong>rmodynamic data from Ol<strong>of</strong>sson and Hepler<br />

75OLO/HEP see <strong>the</strong>ir Eq. 9b <strong>for</strong> <strong>the</strong> ionization <strong>of</strong> water.<br />

Mesmer and Baes 72MES/BAE also give data leading to<br />

rC p /(J K 1 mol 1 )197 at T298.15 K.<br />

68HAR<br />

72MES/BAE<br />

16.3 298.15 2.0 M Calorimetry 73BAR/RED<br />

Values adjusted to TÄ298.15 K and IÄ0<br />

pK rH°/(kJ mol 1 ) rC p /(J K 1 mol 1 ) Reference<br />

9.236 14.0 200 34OWE2<br />

9.237 13.2 307 35OWE<br />

9.237 13.4 301 43OWE/KIN<br />

9.234 14.2 200 44MAN/DEL<br />

14.3 68HAR<br />

9.242 13.5 197 72MES/BAE<br />

16.3 73BAR/RED<br />

Comments: We have selected <strong>the</strong> value pK9.237 based on <strong>the</strong> results <strong>of</strong> Owen et al. 34OWE2, 35OWE, 43OWE/KIN. The differences between this<br />

selected value and <strong>the</strong> results <strong>of</strong> Manov et al. 44MAN/DEL and <strong>of</strong> Mesmer and Baes 72MES/BAE, while small, are slightly larger than one would like<br />

to see <strong>for</strong> this fundamental system. We adopt rH°/(kJ mol 1 )13.8 based on <strong>the</strong> work <strong>of</strong> <strong>the</strong> above studies excepting <strong>the</strong> discordant value from Barres<br />

et al. 73BAR/RED. The difficulties inherent in obtaining an accurate value <strong>of</strong> rC p from <strong>the</strong> second derivative <strong>of</strong> pK values determined as a function <strong>of</strong><br />

temperature are apparent from <strong>the</strong> above results. We have adopted <strong>the</strong> value rC p /(J K 1 mol 1 )240. While <strong>the</strong> apparent molar heat capacity <strong>of</strong> H3BO 3<br />

has been determined 95HNE/MAJ, <strong>the</strong> ion H 2BO 3 has not been <strong>the</strong> subject <strong>of</strong> a similar study. Carefully done calorimetric measurements as a function <strong>of</strong><br />

temperature would also be useful in firmly establishing <strong>the</strong> value <strong>of</strong> rH° and <strong>of</strong> rC p . Additional studies, per<strong>for</strong>med under a variety <strong>of</strong> conditions, are cited<br />

by Martell et al. 2001MAR/SMI and by Pettit and Powell 2000PET/POW.<br />

TABLE 7.16. CABS<br />

O<strong>the</strong>r names 4-cyclohexylamino-1-butanesulfonic acid; CAS No. 161308-34-5<br />

Empirical <strong>for</strong>mula C 10H 21NO 3S<br />

Molecular weight 235.34<br />

<strong>Ionization</strong> Reaction<br />

Structure:<br />

J. Phys. Chem. Ref. Data, Vol. 31, No. 2, 2002<br />

HL H L , where HLC 10H 21NO 3S<br />

There do not appear to be any <strong>the</strong>rmodynamic data in <strong>the</strong> literature <strong>for</strong> <strong>the</strong> ionization <strong>of</strong> CABS.

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