Temperature effects equilibrium constants

As with any equilibrium constant, the effect of temperature on K (distribution coefficient) is described by the van t Hoff equation ... 

Effect of Temperature on Sugar-Bisulfite Equilibrium Constants Temperature, Sugar concentration, pH ... 

If the constant temperature algorithm is used in a trajectory analysis, then the initial conditions are constantly being modified according to the simulation of the constant temperature bath and the relaxation of the molecular system to that bath temperature. The effect of such a bath on a trajectory analysis is less studied than for the simulation of equilibrium behavior. 

Cycloheptatrienes are in many cases in rapid equilibrium with an isomeric bicy-clo[4.1.0]heptadiene. The thermodynamics of the valence isomerism has been studied in a number of instances, and some of the data are given below. Calculate the equilibrium constant for each case at 25°C. Calculate the temperature at which K= for each system. Are the signs of the enthalpy and entropy as you would expect them to be Can you discern any pattern of substituent effects from the data ... 

The parameters indexed with a are connected with the nucleation step or other effects occurring only once per triple helix. Parameters denoted by s are related with the equilibrium constants of the propagation steps and are ordered to be independent of the position of the reacting chain segment. This implies that end effects are neglected. Since the same dependences are valid for AH° and AS, with the help of their chain length dependence we can determine AG by extrapolation up to 3 n - 2 = 0, and thus, a can be estimated it depends neither on temperature nor on the chain length. 

NMR measurements indicate that the equilibrium constant varies with the polarity of the solvent and temperature. The more polar the solvent, the greater the fraction of sulfoxide at equilibrium which is consistent with the greater dipole moment of the sulfoxide as compared with the sulfenate. Increasing temperature results in a reverse effect, due to the steric hindrance in the sulfoxide which becomes more marked at higher temperatures. These results are the first published evidence for the reversibility of the sulfenate-sulfoxide rearrangement and illustrate the occurrence of the rearrangement unsuccessfully attempted by Cope39. 

The effect of temperature on the equilibrium composition arises from the dependence of the equilibrium constant on the temperature. The relation between the equilibrium constant and the standard Gibbs free energy of reaction in Eq. 8 applies to any temperature. Therefore, we ought to be able to use it to relate the equilibrium constant at one temperature to its value at another temperature. 

A catalyst speeds up a reaction by providing an alternative pathway—a different reaction mechanism—between reactants and products. This new pathway has a lower activation energy than the original pathway (Fig. 13.34). At the same temperature, a greater fraction of reactant molecules can cross the lower barrier of the catalyzed path and turn into products than when no catalyst is present. Although the reaction takes place more quickly, a catalyst has no effect on the equilibrium composition. Both forward and reverse reactions are accelerated on the catalyzed path, leaving the equilibrium constant unchanged. 

L-mol 1 -min 1 and the rate constant for the reverse reaction is 392 L-mol 1 -min. The activation energy for the forward reaction is 39.7 kj-mol 1 and that of the reverse reaction is 25.4 kj-mol" (a) What is the equilibrium constant for the reaction (b) Is the reaction exothermic or endothermic (c) What will be the effect of raising the temperature on the rate constants and the equilibrium constant ... 

One notes in Table 1.2 a uniform increase in the adsorption energies of the alkanes when the microspore size decreases (compare 12-ring-channel zeohte MOR with 10-ring-channel TON). However, at the temperature of hydroisomerization the equilibrium constant for adsorption is less in the narrow-pore zeohte than in the wide-pore system. This difference is due to the more limited mobility of the hydrocarbon in the narrow-pore material. This can be used to compute Eq. (1.22b) with the result that the overall hydroisomerization rate in the narrow-pore material is lower than that in the wide-pore material. This entropy-difference-dominated effect is reflected in a substantially decreased hydrocarbon concentration in the narrow-pore material. 

The Van t Hoff isotherm establishes the relationship between the standard free energy change and the equilibrium constant. It is of interest to know how the equilibrium constant of a reaction varies with temperature. The Varft Hoff isochore allows one to calculate the effect of temperature on the equilibrium constant. It can be readily obtained by combining the Gibbs-Helmholtz equation with the Varft Hoffisotherm. The relationship that is obtained is... 

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