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The law is a statement about equilibrium and gives an expression for the equilibrium constant, a quantity characterizing chemical equilibrium. In modern chemistry this is derived using equilibrium thermodynamics. It can also be derived with the concept of chemical potential. [3]
The extent of reaction is a useful quantity in computations with equilibrium reactions. [citation needed] Consider the reaction 2 A ⇌ B + 3 C. where the initial amounts are = , = , = , and the equilibrium amount of A is 0.5 mol. We can calculate the extent of reaction in equilibrium from its definition
As any universal Turing machine can do what any other Turing machine can, a central calculator in principle has no advantage over a system of dispersed calculators, i.e. a market, or vice versa. [25] In some economic models, finding an equilibrium is hard, and finding an Arrow–Debreu equilibrium is PPAD-complete. If the market can find an ...
The first of these corresponds to the quantity sold when the price is zero (which is the maximum quantity the public is willing to consume), while the second states that the derivative of () with respect to is 0, but () is the monetary value of an aggregate sales quantity , and the turning point of this value is a maximum. Evidently, the sales ...
Some sink, source or node are equilibrium points. In mathematics , specifically in differential equations , an equilibrium point is a constant solution to a differential equation. Formal definition
Strictly speaking the above equation holds also for systems with chemical reactions if the terms in the balance equation are taken to refer to total mass, i.e. the sum of all the chemical species of the system. In the absence of a chemical reaction the amount of any chemical species flowing in and out will be the same; this gives rise to an ...
Mathematical economics is the application of mathematical methods to represent theories and analyze problems in economics.Often, these applied methods are beyond simple geometry, and may include differential and integral calculus, difference and differential equations, matrix algebra, mathematical programming, or other computational methods.
In chemistry, the lever rule is a formula used to determine the mole fraction (x i) or the mass fraction (w i) of each phase of a binary equilibrium phase diagram.It can be used to determine the fraction of liquid and solid phases for a given binary composition and temperature that is between the liquidus and solidus line.