Research Article
Heat Capacities and Thermodynamic Properties of Pinnoite and Inderite
Table 4
Molar heat capacities and thermodynamic functions (HT − H298.15), (ST − S298.15), and (GT − G298.15) of pinnoite and inderite.
| | T (K) | Cp,ma (J·mol−1·K−1) | HT − H298.15a (kJ·mol−1) | ST − S298.15a (J·mol−·K−1) | GT − G298.15a (kJ·mol−1) |
| | Pinnoite, MgB2 O4 ·3H2O | | 298.15 | 147.49 | 0.0000 | 0.0000 | 0.0000 | | 306.15 | 154.85 | 1.2142 | 4.0183 | −0.0160 | | 307.15 | 155.94 | 1.3706 | 4.5282 | −0.0203 | | 308.15 | 157.45 | 1.5279 | 5.0396 | −0.0251 | | 309.15 | 158.71 | 1.6862 | 5.5524 | −0.0303 | | 310.15 | 159.85 | 1.8454 | 6.0665 | −0.0362 | | 311.15 | 160.76 | 2.0055 | 6.5820 | −0.0425 | | 312.15 | 161.68 | 2.1665 | 7.0986 | −0.0493 | | 313.15 | 162.60 | 2.3284 | 7.6165 | −0.0567 | | 314.15 | 163.39 | 2.4912 | 8.1355 | −0.0646 | | 315.15 | 164.14 | 2.6548 | 8.6555 | −0.0730 | | 316.15 | 164.88 | 2.8193 | 9.1766 | −0.0819 | | 317.15 | 165.52 | 2.9846 | 9.6986 | −0.0913 | | 318.15 | 166.17 | 3.1507 | 10.2215 | −0.1013 | | 319.15 | 166.84 | 3.3176 | 10.7453 | −0.1117 | | 320.15 | 167.57 | 3.4853 | 11.2700 | −0.1228 | | 321.15 | 168.32 | 3.6538 | 11.7954 | −0.1343 | | 322.15 | 169.07 | 3.8230 | 12.3215 | −0.1463 | | 323.15 | 169.84 | 3.9930 | 12.8483 | −0.1589 | | 324.15 | 170.55 | 4.1637 | 13.3758 | −0.1720 | | 325.15 | 171.22 | 4.3352 | 13.9039 | −0.1857 | | 326.15 | 171.93 | 4.5073 | 14.4325 | −0.1999 | | 327.15 | 172.60 | 4.6802 | 14.9616 | −0.2145 | | 328.15 | 173.30 | 4.8537 | 15.4913 | −0.2298 | | 329.15 | 173.96 | 5.0279 | 16.0213 | −0.2455 | | 330.15 | 174.65 | 5.2028 | 16.5518 | −0.2618 | | 331.15 | 175.37 | 5.3783 | 17.0827 | −0.2786 | | 332.15 | 176.07 | 5.5545 | 17.6139 | −0.2960 | | 333.15 | 176.80 | 5.7313 | 18.1453 | −0.3139 | | 334.15 | 177.57 | 5.9087 | 18.6771 | −0.3323 | | 335.15 | 178.27 | 6.0867 | 19.2091 | −0.3512 | | 336.15 | 178.91 | 6.2654 | 19.7413 | −0.3707 | | 337.15 | 179.53 | 6.4446 | 20.2737 | −0.3907 | | 338.15 | 180.09 | 6.6244 | 20.8063 | −0.4112 | | 339.15 | 180.63 | 6.8048 | 21.3389 | −0.4323 | | 340.15 | 181.16 | 6.9857 | 21.8717 | −0.4539 | | 341.15 | 181.66 | 7.1673 | 22.4045 | −0.4761 | | 342.15 | 182.19 | 7.3493 | 22.9374 | −0.4987 | | 343.15 | 182.68 | 7.5319 | 23.4703 | −0.5219 | | 344.15 | 183.16 | 7.7151 | 24.0033 | −0.5457 | | 345.15 | 183.63 | 7.8987 | 24.5361 | −0.5699 | | 346.15 | 184.09 | 8.0829 | 25.0690 | −0.5947 | | 347.15 | 184.53 | 8.2676 | 25.6018 | −0.6201 | | 348.15 | 184.96 | 8.4528 | 26.1345 | −0.6459 | | 349.15 | 185.40 | 8.6385 | 26.6671 | −0.6723 | | 350.15 | 185.86 | 8.8246 | 27.1995 | −0.6993 | | 351.15 | 186.34 | 9.0113 | 27.7319 | −0.7267 | | 352.15 | 186.86 | 9.1985 | 28.2641 | −0.7547 | | 353.15 | 187.43 | 9.3861 | 28.7961 | −0.7833 | | 354.15 | 188.04 | 9.5742 | 29.3279 | −0.8123 | | 355.15 | 188.70 | 9.7627 | 29.8596 | −0.8419 |
| | Inderite, Mg2B6O11·15H2O | | 298.15 | 446.59 | 0.0000 | 0.0000 | 0.0000 | | 306.15 | 474.94 | 3.7018 | 12.2505 | −0.0487 | | 307.15 | 479.69 | 4.1809 | 13.8128 | −0.0617 | | 308.15 | 484.73 | 4.6632 | 15.3806 | −0.0763 | | 309.15 | 488.20 | 5.1487 | 16.9535 | −0.0925 | | 310.15 | 490.94 | 5.6372 | 18.5311 | −0.1102 | | 311.15 | 493.51 | 6.1287 | 20.1131 | −0.1295 | | 312.15 | 495.98 | 6.6230 | 21.6992 | −0.1504 | | 313.15 | 498.44 | 7.1201 | 23.2891 | −0.1729 | | 314.15 | 500.45 | 7.6198 | 24.8825 | −0.1970 | | 315.15 | 502.52 | 8.1222 | 26.4791 | −0.2227 | | 316.15 | 504.70 | 8.6271 | 28.0788 | −0.2500 | | 317.15 | 506.89 | 9.1345 | 29.6812 | −0.2789 | | 318.15 | 509.24 | 9.6444 | 31.2862 | −0.3093 | | 319.15 | 511.70 | 10.1566 | 32.8937 | −0.3414 | | 320.15 | 514.21 | 10.6711 | 34.5034 | −0.3751 | | 321.15 | 516.73 | 11.1880 | 36.1152 | −0.4104 | | 322.15 | 519.25 | 11.7070 | 37.7290 | −0.4474 | | 323.15 | 521.82 | 12.2283 | 39.3446 | −0.4859 | | 324.15 | 524.12 | 12.7518 | 40.9621 | −0.5260 | | 325.15 | 526.36 | 13.2775 | 42.5812 | −0.5678 | | 326.15 | 528.59 | 13.8053 | 44.2019 | −0.6112 | | 327.15 | 530.77 | 14.3352 | 45.8243 | −0.6562 | | 328.15 | 533.01 | 14.8673 | 47.4482 | −0.7029 | | 329.15 | 535.19 | 15.4015 | 49.0737 | −0.7511 | | 330.15 | 537.38 | 15.9378 | 50.7008 | −0.8010 | | 331.15 | 539.50 | 16.4764 | 52.3294 | −0.8525 | | 332.15 | 541.57 | 17.0170 | 53.9596 | −0.9057 | | 333.15 | 543.75 | 17.5599 | 55.5916 | −0.9604 | | 334.15 | 545.82 | 18.1050 | 57.2252 | −1.0169 | | 335.15 | 548.06 | 18.6523 | 58.8607 | −1.0749 | | 336.15 | 550.52 | 19.2019 | 60.4981 | −1.1346 | | 337.15 | 552.93 | 19.7538 | 62.1375 | −1.1959 | | 338.15 | 555.50 | 20.3081 | 63.7791 | −1.2588 | | 339.15 | 557.97 | 20.8648 | 65.4230 | −1.3235 | | 340.15 | 560.43 | 21.4239 | 67.0693 | −1.3897 | | 341.15 | 562.89 | 21.9857 | 68.7183 | −1.4576 | | 342.15 | 565.29 | 22.5500 | 70.3701 | −1.5271 | | 343.15 | 567.98 | 23.1170 | 72.0248 | −1.5983 | | 344.15 | 570.78 | 23.6867 | 73.6828 | −1.6712 | | 345.15 | 573.30 | 24.2593 | 75.3442 | −1.7457 | | 346.15 | 576.09 | 24.8349 | 77.0092 | −1.8219 | | 347.15 | 578.95 | 25.4134 | 78.6782 | −1.8997 | | 348.15 | 581.91 | 25.9951 | 80.3514 | −1.9792 | | 349.15 | 584.65 | 26.5800 | 82.0290 | −2.0604 | | 350.15 | 587.56 | 27.1682 | 83.7113 | −2.1433 | | 351.15 | 590.97 | 27.7599 | 85.3987 | −2.2278 | | 352.15 | 595.06 | 28.3552 | 87.0914 | −2.3141 | | 353.15 | 600.09 | 28.9541 | 88.7898 | −2.4020 | | 354.15 | 605.63 | 29.5569 | 90.4942 | −2.4917 | | 355.15 | 611.12 | 30.1636 | 92.2050 | −2.5830 |
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aThe standard uncertainties u are u (Cp,m) = 0.05 J·mol−1·K−1, u(HT − H298.15) = 0.0056, u(ST − S298.15) = 0.0080, and u(GT − G298.15) = 0.0010.
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