Rate laws continued single

Parabolic rate law. The parabolic rate law [Eq. (3.12)] assumes that the diffusion of metal cations or oxygen anions is the rate controlling step and is derived from Pick s first law of diffusion. The concentrations of diffusing species at the oxide-metal and oxide-gas interfaces are assumed to be constant. The diffusivity of the oxide layer is also assumed to be invariant. This assumption implies that the oxide layer has to be uniform, continuous, and of the single phase type. Strictly speaking, even for pure metals, this assumption is rarely valid. The rate constant, kp, changes with temperature according to an Arrhenius-type relationship. 

When an enzyme-catalyzed biochemical reaction operating in an isothermal system is in a non-equilibrium steady state, energy is continuously dissipated in the form of heat. The quantity J AG is the rate of heat dissipation per unit time. The inequality of Equation (4.13) means that the enzyme can extract energy from the system and dissipate heat and that an enzyme cannot convert heat into chemical energy. This fact is a statement of the second law of thermodynamics, articulated by William Thompson (who was later given the honorific title Lord Kelvin), which states that with only a single temperature bath T, one may convert chemical work to heat, but not vice versa. 

Emulsions are thermodynamically unstable systems and will, as a function of time, separate to minimize the interfacial area between the oil phase and the water phase. If a density difference exists between the dispersed and continuous phases, dispersed droplets experience a vertical force in a gravitational field. The gravitational force is opposed by the fractional drag force and the buoyancy force. The resulting creaming rate vq of a single droplet is given by Stokes law ... 

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