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Thermodynamic Quantities for the Ionization Reactions of Buffers

Thermodynamic Quantities for the Ionization Reactions of Buffers

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246 GOLDBERG, KISHORE, AND LENNEN<br />

Values from literature<br />

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

52.5 298.15 Calorimetry. Vanderzee and King 72VAN/KIN later applied<br />

dilution corrections to Pitzer’s 37PIT result and obtained rH°<br />

3.35 kJ mol 1 <strong>for</strong> <strong>the</strong> reaction (NH 3H 2ONH 4 OH ). This<br />

value when combined with rH° <strong>for</strong> <strong>the</strong> ionization <strong>of</strong> H 2O(1)<br />

75OLO/HEP leads to rH°52.5 <strong>for</strong> <strong>the</strong> reaction<br />

(NH 4 H NH3). Pitzer’s 37PIT original, uncorrected result led<br />

to rH°/(kJ mol 1 52.2 kJ mol 1 .<br />

9.867 278.15 0 Electrochemical cell with liquid junction. The value <strong>of</strong> rH° given<br />

9.529 288.15 0<br />

9.215 51.7 298.15 0<br />

8.923 308.15 0<br />

8.645 318.15 0<br />

here was calculated from pKs measured at several temperatures. The<br />

value rC p /(J K 1 mol 1 )3 was also calculated from <strong>the</strong><br />

temperature dependency <strong>of</strong> <strong>the</strong>ir 38EVE/WYN reported pKs.<br />

Everett and Landsman 54EVE/LAN later stated that <strong>the</strong>se results<br />

were in error due to <strong>the</strong> presence <strong>of</strong> carbonate in <strong>the</strong> hydroxide<br />

solutions used to prepare <strong>the</strong> buffer.<br />

10.0813 273.15 0 Electrochemical cell—no liquid junction. The value <strong>of</strong> rH° given<br />

9.9040 278.15 0<br />

9.7306 283.15 0<br />

9.5641 288.15 0<br />

9.4002 293.15 0<br />

9.2449 52.24 298.15 0<br />

9.0926 303.15 0<br />

8.9466 308.15 0<br />

8.8047 313.15 0<br />

8.6700 318.15 0<br />

8.5387 323.15 0<br />

here was calculated from pKs measured at several temperatures. The<br />

value rC p /(J K 1 mol 1 )5 was also calculated from <strong>the</strong><br />

temperature dependency <strong>of</strong> <strong>the</strong>ir 49BAT/PIN2 reported pKs.<br />

10.081 273.15 0 Electrochemical cell—no liquid junction. This study used a<br />

9.904 278.15 0<br />

9.730 283.15 0<br />

9.564 288.15 0<br />

9.401 293.15 0<br />

9.246 52.19 298.15 0<br />

9.093 303.15 0<br />

8.947 308.15 0<br />

8.805 313.15 0<br />

8.671 318.15 0<br />

8.540 323.15 0<br />

somewhat different methodology than that used by Bates and<br />

Pinching 49BAT/PIN2 in <strong>the</strong>ir earlier work. The value <strong>of</strong> rH°<br />

given here was calculated from pKs measured at several<br />

temperatures. The value rC p /(J K 1 mol 1 )5 was also<br />

calculated from <strong>the</strong> temperature dependency <strong>of</strong> <strong>the</strong>ir 50BAT/PIN<br />

reported pKs<br />

9.5537 288.15 0 Electrochemical cell with liquid junction. The pK values given here,<br />

9.2378 51.9 298.15 0<br />

8.9425 308.15 0<br />

8.6683 318.15 0<br />

and which pertain to a molality standard state, were calculated from<br />

<strong>the</strong> pK values given by Everett and Landsman 54EVE/LAN and<br />

which pertained to <strong>the</strong> molarity scale. The value <strong>of</strong> rH° given here<br />

was calculated from <strong>the</strong> pKs measured at several temperatures. The<br />

value rC p /(J K 1 mol 1 )24 was also calculated from <strong>the</strong><br />

37PIT<br />

38EVE/WYN<br />

49BAT/PIN2<br />

50BAT/PIN<br />

54EVE/LAN<br />

52.59 298.15 0 temperature dependency <strong>of</strong> <strong>the</strong>ir 54EVE/LAN reported pKs. Calorimetry. 61TYS/MCC<br />

9.29 52.01 298.15 0.1 M Potentiometric titration—glass electrode; calorimetry. 65PAO/STE<br />

68VAS/KOC<br />

52.15 298.15 0 Calorimetry. Values <strong>of</strong> rH° were determined <strong>for</strong> <strong>the</strong> temperature<br />

range 291.15T/K313.15. Results were obtained at several ionic<br />

strengths and extrapolated to I0. The value rC p /(J K 1 mol 1 )<br />

7 atT298.15 was calculated from <strong>the</strong> temperature dependence<br />

<strong>of</strong> <strong>the</strong> rH° values. In per<strong>for</strong>ming this calculation values <strong>of</strong> rH°<br />

52.34 298.15 0<br />

<strong>for</strong> <strong>the</strong> ionization <strong>of</strong> water were taken from Ol<strong>of</strong>sson and Hepler<br />

Calorimetry. 69CHR/IZA<br />

50.12 ? ? Calorimetry. 71MAR/BER<br />

51.99 298.15 0 Calorimetry. Vanderzee et al. 72VAN/KIN report rH° 3.828 kJ mol1 <strong>for</strong> <strong>the</strong> reaction (NH3H2ONH4 OH ) at T<br />

298.15 K and I0. This value when combined with rH° <strong>for</strong> <strong>the</strong><br />

ionization <strong>of</strong> H2O(1) 75OLO/HEP leads<br />

51.99 kJ mol<br />

to rH° 1 72VAN/KIN<br />

<strong>for</strong> <strong>the</strong> reaction (NH4 H NH3).<br />

75OLO<br />

51.92 298.15 0 Calorimetry. Values <strong>of</strong> rH° were determined <strong>for</strong> <strong>the</strong> temperature<br />

range 278.15T/K418.15. The value rC p /(J K 1 mol 1 )11 at<br />

T298.15 was calculated from <strong>the</strong> temperature dependence <strong>of</strong> <strong>the</strong><br />

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

rH° values.<br />

The result rC p /(J K 1 mol 1 )7 atT298.15 K was obtained by<br />

direct heat capacity measurements.<br />

81ALL/WOO

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