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: Most non-battle-related casualties from this war stemmed from an outbreak of yellow fever and Russell Alger's decision to supply troops with spoiled meat, leading to the "Embalmed Beef" scandal. One front of this war was commanded by William Shafter, who ordered the attack on El Caney, while a far-away front was commanded by George Dewey. Its best-known land battle saw cavalry led by Leonard Wood charge up Kettle Hill. FTP name this 1898 conflict which included the American victory at the Battle of Manila Bay and was triggered by the explosion of the USS Maine.

SOLUTION: History

PROBLEM: Congress pretty much screwed this guy when they funded a competition to design a Smithsonian museum of modern art but then refused to fund his winning design. This architect collaborated with Alexander Girard and Dan Kiley on a house in Columbus, Indiana, whose living room features a square, recessed "conversation pit." An airport designed by this man features concourses not directly connected to the main terminal; instead, he designed a system of [*] "mobile lounges" to service them. Another terminal he designed features purple-tinted glass walls below two wing-like concrete shells. This designer of Dulles International Airport also created the TWA Terminal at JFK. For 10 points, name this Finnish architect, the son of Eliel.

SOLUTION:
Fine Arts