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.

Ex Input:
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.

Ex Output:
Science


Ex Input:
First proposed by Lewis, it is related logarithmically to a gas's standard Gibbs free energy divided by the temperature and gas constant. At equilibrium, this quantity must be equal in both gas and liquid phases. Taking the derivative of the natural log of this function is equates it to the derivative of a reaction's chemical potential. Equal to the gas' pressure when the gas is ideal, FTP, identify this thermodynamic quantity which replaces partial pressure when working with real gases and describes the tendency of a substance to escape from its current phase, symbolized by f.

Ex Output:
Science


Ex Input:
This quantity is often confused with a quantity symbolized delta G double dagger. The Hammond Postulate bases the structure of an intermediate on the difference in this quantity between the transition state and that of the reactants or products. It is divided by the product of reaction rate and temperature in the Arrhenius Equation, which calculates this quantity given a known reaction rate. Catalysts lower, for 10 points, what amount of energy that must be overcome for a reaction to take place

Ex Output:

Science