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This paper reports calorimetric measurements of the heats of formation of copper, zinc, and calcium ferrites, motivated by the need for thermodynamic data relevant to ferrite synthesis. The authors determined these values from differences in the heats of dissolution of ferrites and corresponding oxide mixtures in a sulfuric and phosphoric acid mixture at 413 K, using ferrites prepared by thermal decomposition or ceramic synthesis. The measured heats of formation from oxides were 1.6 kcal/mole for copper ferrite, 7.0 kcal/mole for zinc ferrite, and 19.1 kcal/mole for calcium ferrite, indicating a decrease in exothermicity along the calcium, magnesium, zinc, copper series. The study also calculates heats of formation from the elements for copper and zinc ferrites and gives recalculated thermodynamic values for magnesium and calcium ferrites at 298 K, with the calcium result agreeing with prior data.
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CHEMISTRY
L. A. REZNITSKII and K. G. KHOMYAKOV
CALORIMETRIC DETERMINATION OF THE HEATS OF FORMATION OF FERRITES
(Presented by Academician V. I. Spitsyn, 10 XI 1959)
There are comparatively few works in the literature whose purpose has been to determine the thermodynamic functions of ferrites. For practical purposes in the synthesis of ferrites it is necessary to determine the free energies and heats of formation of ferrites. The heats of formation of copper, zinc, and calcium ferrites were determined from the difference between the heats of interaction of mixtures of oxides and ferrites at 413° K with a mixture of sulfuric and phosphoric acids, as described earlier in determining the heat of formation of magnesium ferrite.
Copper and zinc ferrites were prepared by thermal decomposition of isomorphous chenites of composition: \({}^{1}/_{3}\mathrm{MSO}_{4}\cdot{}^{2}/_{3}\mathrm{FeSO}_{4}\cdot(\mathrm{NH}_{4})_{2}\mathrm{SO}_{4}\cdot6\mathrm{H}_{2}\mathrm{O}\), where \(\mathrm{M}=\mathrm{Cu}\) or \(\mathrm{Zn}\). Calcium ferrite was obtained by the ceramic method from \(\mathrm{CaCO}_{3}\) and \(\mathrm{Fe}_{2}\mathrm{O}_{3}\), by calcination at 1100°. In all series of experiments, equal weighed portions of ferrites and of the corresponding mixtures of ferrite-forming oxides were taken, so that the final solutions would have the same dilution. Table 1 summarizes the results of experiments on determining the enthalpy of dissolution of mixtures of oxides and ferrites in acid at 413° K.
Table 1
| \(\mathrm{CuO}+\mathrm{Fe}_{2}\mathrm{O}_{3}\), \(9.005\cdot10^{-4}\) mole | \(\mathrm{CuFe}_{2}\mathrm{O}_{4}\), \(9.005\cdot10^{-4}\) mole | \(\mathrm{ZnO}+\mathrm{Fe}_{2}\mathrm{O}_{3}\), \(8.1\cdot10^{-4}\) mole | \(\mathrm{ZnFe}_{2}\mathrm{O}_{4}\), \(8.1\cdot10^{-4}\) mole | \(\mathrm{CaO}+\mathrm{Fe}_{2}\mathrm{O}_{3}\), \(5.65\cdot10^{-4}\) mole | \(\mathrm{CaFe}_{2}\mathrm{O}_{4}\), \(5.65\cdot10^{-4}\) mole | |
|---|---|---|---|---|---|---|
| Enthalpy of dissolution \(-\Delta H\), kcal/mole | \(61.5\pm0.9\) | \(59.9\pm0.4\) | \(62.8\pm0.3\) | \(55.8\pm0.5\) | \(87.7\pm0.8\) | \(68.6\pm0.9\) |
| Enthalpy of formation of ferrite from oxides \(-\Delta H\), kcal/mole | \(1.6\) | \(7.0\) | \(19.1\) |
Taking into account the previously determined heat of formation of \(\mathrm{MgFe}_{2}\mathrm{O}_{4}\) from \(\mathrm{MgO}\) and \(\mathrm{Fe}_{2}\mathrm{O}_{3}\)—\(\Delta H_{413}=9.2\) kcal/mole—it may be concluded that the heat of formation of ferrites from oxides decreases along the series \(\mathrm{Ca—Mg—Zn—Cu}\), which coincides with the electromotive series of the metals. The very small exothermic effect in the formation of \(\mathrm{CuFe}_{2}\mathrm{O}_{4}\) from oxides agrees well with the thermal instability of \(\mathrm{CuFe}_{2}\mathrm{O}_{4}\) above 1100°, when dissociation is observed:
\[ 4\mathrm{CuFe}_{2}\mathrm{O}_{4}=2\mathrm{Cu}_{2}\mathrm{O}+4\mathrm{Fe}_{2}\mathrm{O}_{3}+\mathrm{O}_{2}. \]
To calculate the heats of formation of \(\mathrm{CuFe}_{2}\mathrm{O}_{4}\) and \(\mathrm{ZnFe}_{2}\mathrm{O}_{4}\) from the elements at 413° K, the equations for \(C_{p}\) and the values of \(\Delta H_{298}\) for the oxides \((^{1,2})\) were used. From these data, using the values determined in the present
the heats of formation from the oxides were calculated as \(\Delta H_{413}\mathrm{CuFe_2O_4}=-233.7\) kcal/mole and \(\Delta H_{413}\mathrm{ZnFe_2O_4}=-284.9\) kcal/mole. For magnesium and calcium ferrites it is possible to recalculate the thermodynamic data to \(298^\circ\) K, since their heat capacities and entropies were determined by King and Bonnickson \((^{3,4})\). We give the values of the heats of formation and free energies of formation of magnesium and calcium ferrites.
| \(-\Delta H_{298}\), kcal/mole | \(-\Delta Z_{298}\), kcal/mole | |
|---|---|---|
| \(\mathrm{MgFe_2O_4}\) | 349.9 | 322.9 |
| \(\mathrm{CaFe_2O_4}\) | 365.9 | 340.2 |
Two papers describing the determination of the heat of formation of calcium ferrite have been reported in the literature. Marshall \((^5)\) estimated the heat of formation of \(\mathrm{CaFe_2O_4}\) as \(\Delta H=-398\) kcal/mole. Later, Honus \((^6)\) found \(\Delta H_{298}=-364.5\) kcal/mole. Honus’s data agree with our determination \((\Delta H_{298}=-365.9\) kcal/mole).
Moscow State University
named after M. V. Lomonosov
Received
3 XI 1959
REFERENCES CITED
1 M. Kh. Karapet’yants. Chemical Thermodynamics, Moscow—Leningrad, 1952.
2 F. Rossini et al., Selected Values of Chemical Thermodynamic Properties, Circ. 500, Washington, 1952.
3 K. K. Bonnickson, J. Am. Chem. Soc., 76, No. 2, 1480 (1954).
4 E. G. King, J. Am. Chem. Soc., 76, No. 6, 5849 (1954).
5 G. Marchal, J. Chim. Phys., 23, No. 1, 38 (1926).
6 O. Honus, Zement, 24, No. 48, 761 (1935).