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Haber's rule states that, for a given poisonous gas, =, where is the concentration of the gas (mass per unit volume), is the amount of time necessary to breathe the gas to produce a given toxic effect, and is a constant, depending on both the gas and the effect. Thus, the rule states that doubling the concentration will halve the time, for example.
The dominant technology for abiological nitrogen fixation is the Haber process, which uses iron-based heterogeneous catalysts and H 2 to convert N 2 to NH 3. This article focuses on homogeneous (soluble) catalysts for the same or similar conversions.
Buffers typically consist of a pair of compounds in solution, one of which is a weak acid and the other a weak base. [13] The most abundant buffer in the ECF consists of a solution of carbonic acid (H 2 CO 3), and the bicarbonate (HCO − 3) salt of, usually, sodium (Na +). [5] Thus, when there is an excess of OH −
In biochemistry, steady state refers to the maintenance of constant internal concentrations of molecules and ions in the cells and organs of living systems. [1] Living organisms remain at a dynamic steady state where their internal composition at both cellular and gross levels are relatively constant, but different from equilibrium concentrations. [1]
A phase portrait is a qualitative sketch of the differential equation's behavior that shows equilibrium solutions or fixed points and the vector field on the real line. Bifurcations describe changes in the stability or existence of fixed points as a control parameter in the system changes.
The Haber process, [1] also called the Haber–Bosch process, is the main industrial procedure for the production of ammonia. [ 2 ] [ 3 ] It converts atmospheric nitrogen (N 2 ) to ammonia (NH 3 ) by a reaction with hydrogen (H 2 ) using finely divided iron metal as a catalyst:
Notable analytical approaches include hydrodynamics, [12] kinetic theory, and non-equilibrium statistical physics. Numerical studies mainly involve self-propelled-particles models, [ 13 ] [ 14 ] making use of agent-based models such as molecular dynamics algorithms or lattice-gas models , [ 15 ] as well as computational studies of hydrodynamic ...
The Hammett equation predicts the equilibrium constant or reaction rate of a reaction from a substituent constant and a reaction type constant. The Edwards equation relates the nucleophilic power to polarisability and basicity. The Marcus equation is an example of a quadratic free-energy relationship (QFER). [citation needed]