Page 506 - Handbook of Thermal Analysis of Construction Materials
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478                     Chapter 11 - Gypsum and Gypsum Products


                                     The thermal analysis evidence for the three-step process (referred
                              to above) comprised the results of DSC and TG analysis. The largest mass
                              loss (13.7 to 16.5%) occurred between 95° and 175°C (heating rate at
                                                                                             -1
                              5°C/min). The enthalpy change values varied between 379 and 420 Jg .
                              The main product at 165°C was anhydrite (determined by XRD), but some
                              hemihydrate was still present. No hemihydrate was observed at 172°C, but
                              some CaSO •0.15H O and small amounts of CaSO  were observed. The
                                                                            3
                                               2
                                        4
                              reaction mixture (at 250°C) consisted of CaSO •0.15H O, calcium sulfite,
                                                                       4
                                                                              2
                              γ-CaSO , and probably some bassinite, Ca (SO ) •H O. At temperatures up
                                                                           2
                                                                  2
                                                                      4 2
                                     4
                              to 450°C, some CaSO •0.15H O and Ca (SO ) •H O are observed together
                                                                         2
                                                                2
                                                                     4 2
                                                        2
                                                 4
                              with anhydrites CaSO , γ-CaSO , and possibly Ca (SO ) •SO .
                                                          4
                                                                                    4
                                                                              3 2
                                                 3
                                                                          3
                                     The activation energy was determined for heating rates varying

                              from 0.5°C/min to 5°C /min. The following equation was used to estimate
                              the activation energy:
                              Eq. (7)    ln β = ln(AE/R) – ln γ (α) – 5.33 + 1.05 E/RT
                                                             -1
                              where β is the heating rate (°C min ), E is the activation energy, α is the
                              degree of conversion, R is the gas constant, and T is the temperature.
                                     The dehydration process occurs as follows. A plot of activation
                              energy versus the degree of conversion is provided in Fig. 24 to facilitate
                              discussion. The activation energy was determined for heating rates varying
                              from 0.5°C/min to 5°C/min. It is apparent that the dehydration reactions do
                              not occur in single steps. At least three stages are observed in Fig. 24. The
                              activation energy increases in the state 0 < α < 0.1 and remains relatively
                              constant (about 100 kJ/mol) until a sharp decrease occurs at α = 0.70. A
                              number of solid state decomposition kinetic models were fitted to the data.
                              A diffusion model fits the data the best when 0 < α < 0.1. The equation is
                                                 1/3 2
                              as follows: [1 - (1 - α) ]  = kt. It gives an activation energy value of 392
                              ± 100 kJ/mol. The correlation coefficient is marginally low with a value of
                              0.642. A much better fit for 0.1 < α < 0.7 is obtained using a first order
                              reaction with an autocatalytic activation. [18]  The activation energy value of
                              100.5 ± 1.2 kJ/mole correlates very well with the experimental values. A
                              Sestak-Berggren equation [18]  gives the best description of the dehydration
                              during the last stage (correlation coefficient = 0.954) up to 180°C. An
                              activation energy of 96 ± 15 kJ/mol is obtained using this model. The mass
                              loss data are plotted in Fig. 25. It is apparent that the autocatalysis model
                              provides a good correlation for 0.1 < α < 0.7. Other mechanisms appear to
                              dominate at the beginning and end of the reactions. It is postulated that a
                              second reaction could occur as follows:
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