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.
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Question: The differential of this quantity, which is given in general by minus Boltzmanns constant times the thermodynamic temperature times the natural logarithm of the partition function, is non-positive for isothermal, isometric processes, so it is minimized for equilibria in constant-temperature, constant-volume systems. It gives the available useful energy from a closed system, so it is usually symbolized A from the German for work. The p-V Legendre transform of a similar quantity named for Gibbs, it is given by the internal energy minus the absolute temperature times the entropy. For 10 points, name this thermochemical quantity, a thermodynamic potential named for a German physicist.

Answer: Science


Question: In the form of Nicippe, the priestess of a grove at Dotium, this figure threw the curse of perpetual hunger upon the man who tried to chop down her grove, Erysichthon. With the titan Iasius she produced the children Philomelus and Ploutus. In another story, she assumes the form of the old woman Doso and her (*) sadness is alleviated somewhat by the jokes of Iambe, after which she bathes a baby boy in fire every night in order to burn away his mortality. This stay in the house of Demophoon' parents is described in the Homeric hymn to this figure which describes the foundation of the Eleusinian mysteries. For 10 points, name this Greek goddess who gave Triptolemus a plow and some other agricultural tools, and who was the mother of Persephone.

Answer: Social Science


Question: This battle's outcome was partially caused by the losing commander's decision to split up his army so it could live off the land, leading to the initial skirmishes at Benautzen, Grossbeeren, and Katzbach. Also, the losing general was so badly afflicted with bladder problems that he could not mount a horse and even fell asleep at one point in the action, leading his subordinates to try to hold Mochern without his guidance on the first day. After the second day, the losing commander tried to retreat during the night, but he prematurely blew up the stone bridge over which his army was retreating and stranded his rear guard, whose 30,000 men were annihilated. Despite the efforts of Marmont and  Murat, this battle ended in victory for the forces of Karl van Schwarzenberg , Crown Prince Jean Bernadotte, and Marshal Gebhard van Blcher. FTP, name this battle fought in October, 1813, a defeat for Napoleon whose nickname came from the alliance of the victorious side.

Answer:
History