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This is an accepted version of this page This is the latest accepted revision, reviewed on 31 December 2024. Law of physics and chemistry This article is about the law of conservation of energy in physics. For sustainable energy resources, see Energy conservation. Part of a series on Continuum mechanics J = − D d φ d x {\displaystyle J=-D{\frac {d\varphi }{dx}}} Fick's laws of diffusion ...
In continuum mechanics, the most general form of an exact conservation law is given by a continuity equation. For example, conservation of electric charge q is = where ∇⋅ is the divergence operator, ρ is the density of q (amount per unit volume), j is the flux of q (amount crossing a unit area in unit time), and t is time.
In physics, the first law of thermodynamics is an expression of the conservation of total energy of a system. The increase of the energy of a system is equal to the sum of work done on the system and the heat added to that system: = + where is the total energy of a system.
The first law of thermodynamics is a formulation of the law of conservation of energy in the context of thermodynamic processes. The law distinguishes two principal forms of energy transfer, heat and thermodynamic work , that modify a thermodynamic system containing a constant amount of matter.
The first law of thermodynamics states that, when energy passes into or out of a system (as work, heat, or matter), the system's internal energy changes in accordance with the law of conservation of energy. The second law of thermodynamics states that in a natural thermodynamic process, the sum of the entropies of the interacting thermodynamic ...
The first law is the law of conservation of energy. The symbol δ {\displaystyle \delta } instead of the plain d, originated in the work of German mathematician Carl Gottfried Neumann [ 1 ] and is used to denote an inexact differential and to indicate that Q and W are path-dependent (i.e., they are not state functions ).
List of thermodynamic properties; Antoine equation; Bejan number; Bowen ratio; Bridgman's equations; Clausius–Clapeyron relation; Departure functions; Duhem–Margules equation; Ehrenfest equations; Gibbs–Helmholtz equation; Phase rule; Kopp's law; Noro–Frenkel law of corresponding states; Onsager reciprocal relations; Stefan number ...
Many laws take mathematical forms, and thus can be stated as an equation; for example, the law of conservation of energy can be written as =, where is the total amount of energy in the universe. Similarly, the first law of thermodynamics can be written as d U = δ Q − δ W {\displaystyle \mathrm {d} U=\delta Q-\delta W\,} , and Newton's ...