TASK DEFINITION: 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.
PROBLEM: This equation's accuracy can be improved if used in conjunction with Lorentz-Hudson-McCoubrey combining rules for modeling interactions between unlike molecules. The trace of fluid-solid coexistence curves can be performed by utilizing Kofke's method for this equation's associated integration. This relation can serve as a test for consistency for the Hubbard approximation if the external magnetic field and chemical potential are chosen as its two intensive parameters. The Lewis-Randall rule relates this equation to Henry's Law, and the Clausius-Claperyon equation can be derived from this relation assuming the two phases are in equilibrium. For 10 points, name this doubly eponymous equation that determines the relationship between changes in chemical potential for components in a system, named after a French energeticist and a Yale physicist.

SOLUTION: Science

PROBLEM: He attempted to impart a Middle Eastern flavor to works such as the Nuit persane and his fifth piano concerto, known as the "Egyptian. " This composer of the Spanish-flavored Havanaise also wrote a piece which contrasts a reflective opening with a faster section in which the soloist plays in 2/4 against the orchestra's 6/8. Another work for violin and orchestra by this composer required an E to E flat scordatura tuning, was based on a Henry Cazalis poem, features an oboe near the end symbolizing a rooster call and uses the xylophone to depict rattling bones. For 10 points, name this composer of the Introduction and Rondo Cappricioso, Danse Macabre, and Carnival of the Animals.

SOLUTION: Fine Arts

PROBLEM: This element is found with silicon in the mineral pentlandite and with silicon and iron in pyrrhoite. Usually forming compounds in the +2 oxidation state, the +3 state also exists, as seen in its black oxide. It is a highly effective catalyst, especially in a spongy form known as the "Raney" catalyst, and it is often purified by the Mond process. FTP, what is this silvery metallic transition element with atomic number 28 and symbol Ni

SOLUTION:
Science