instruction:
In this task you will be given a text passage from a trivia quiz. You should choose the category this question belongs to from these categories: History, Science, Social Science, Fine Arts, Literature. You can only choose one category, so if in doubt, please choose the closest match.
question:
Ostwald ripening is a consequence of this quantity's dependence on particle size. This quantity is plotted against temperature in an Ellingham diagram, and the Margules and van Laar equations relate this quantity to the activity coefficient. Phillips and Williams modified a diagram plotting this quantity over the Faraday constant against the oxidation state, the (*) Frost diagram. The Flory-Huggins interaction parameter appears in a namesake expression giving the "partial molar" value of this quantity, also generally referred to as chemical potential. It is equivalent to the work done under constant pressure and temperature, and this quantity "of formation" is negative for thermodynamically stable compounds. For 10 points, give this thermodynamic quantity, whose change is equal to the change in enthalpy minus the product of temperature and the change in entropy, which is named after an American scientist.
answer:
Science

question:
opera's third act opens with a shepherd boy singing "Io de' sospiri. " One character in this opera retorts with the aria "Mi dicon venal" when asked what his price is. Another character in this opera sings about how brightly the stars used to shine after he trades his ring to his captor for the chance to write his lover one last letter. That character is killed by a (*) firing squad that he thinks will be shooting blanks after withstanding a session in a torture chamber and refusing to give up the political prisoner Cesare Angelotti. The title character of this opera sings about her good deeds and her dedication to her art in the aria "Vissi d'arte," before she kills the police chief Scarpia and jumps to her death after the execution of the painter Mario Cavardossi. For 10 points, name this Puccini opera about a singer.
answer:
Fine Arts

question:
The cooperative pseudo- form of this phenomenon has been linked to the vibronic theory of ferroelectricity. A version of this phenomenon arising from mixing of two or more interacting states was studied by Opik and Pryce. The Ham factor is used to simplify calculations of electronic and vibronic properties affected by this phenomenon. It is frequently observed in complexes where the e-sub-g orbitals contain an odd number of electrons, as in compounds of copper(II). For 10 points, name this effect in which nonlinear systems in a degenerate electronic state distort to remove the degeneracy, which can result in the distortion of a coordination compound with octahedral symmetry to tetragonal geometry.
answer:
Science