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In chemical thermodynamics, an endergonic reaction (from Greek ἔνδον (endon) 'within' and ἔργον (ergon) 'work'; also called a heat absorbing nonspontaneous reaction or an unfavorable reaction) is a chemical reaction in which the standard change in free energy is positive, and an additional driving force is needed to perform this ...
Its symbol is Δ f G˚. All elements in their standard states (diatomic oxygen gas, graphite, etc.) have standard Gibbs free energy change of formation equal to zero, as there is no change involved. Δ f G = Δ f G˚ + RT ln Q f, where Q f is the reaction quotient. At equilibrium, Δ f G = 0, and Q f = K, so the equation becomes Δ f G˚ = − ...
The ∆G° can be written as a function of change in enthalpy (∆H°) and change in entropy (∆S°) as ∆G°= ∆H° – T∆S°. Practically, enthalpies, not free energy, are used to determine whether a reaction is favorable or unfavorable, because ∆ H ° is easier to measure and T ∆ S ° is usually too small to be of any significance ...
and they have positive (endergonic) or negative (exergonic) Gibbs free energies of reaction . As Marcus calculations refer exclusively to the electrostatic properties in the solvent (outer sphere) Δ G ∘ {\displaystyle \Delta G^{\circ }} and λ 0 {\displaystyle \lambda _{0}} are independent of one another and therefore can just be added up.
The definition of the Gibbs function is = + where H is the enthalpy defined by: = +. Taking differentials of each definition to find dH and dG, then using the fundamental thermodynamic relation (always true for reversible or irreversible processes): = where S is the entropy, V is volume, (minus sign due to reversibility, in which dU = 0: work other than pressure-volume may be done and is equal ...
The isolated reaction of anabolism is unfavorable in a cell due to a positive Gibbs free energy (+ΔG). Thus, an input of chemical energy through a coupling with an exergonic reaction is necessary. [ 1 ] : 25–27 The coupled reaction of the catabolic pathway affects the thermodynamics of the reaction by lowering the overall activation energy ...
The reaction quotient (Q r) is the ratio of the chemical activity (a i) of the reduced form (the reductant, a Red) to the activity of the oxidized form (the oxidant, a ox). It is equal to the ratio of their concentrations (C i) only if the system is sufficiently diluted and the activity coefficients (γ i) are close to unity (a i = γ i C i):
The general form of the Eyring–Polanyi equation somewhat resembles the Arrhenius equation: = ‡ where is the rate constant, ‡ is the Gibbs energy of activation, is the transmission coefficient, is the Boltzmann constant, is the temperature, and is the Planck constant.