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.

[Q]: 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.
[A]: Science


[Q]: The Idler and The Rambler were two periodicals written by this man, and he popularized the term "Metaphysical Poets" in his series of biographies Lives of the Poets. The title prince travels with his mentor Imlac out of Happy Valley in search of true happiness in this author's prose work, Rasselas, while his greatest accomplishment was an epic of over 115,000 entries, the standard of its type until the creation of the Oxford English version. Author of an 18th-century Dictionary of the English Language, FTP name this British writer whose own biography was written by his one-time companion James Boswell.
[A]: Literature


[Q]: Some of his early works include The Spirit of the Age and Two Letters on the Measure of Value, and he laid out the five principles of inductive reasoning, which would become known as his namesake method in his book System of Logic. In one essay he discusses the tyranny of the majority and created the Harm Principle, and in another work he would defend the Greatest (*) Happiness Principle and lay the foundation for a movement that would include philosophers such as Henry Sidgewick and Jeremy Bentham. FTP, name this philosopher who wrote On Liberty and Utilitarianism.
[A]:
Social Science