Definition of Volume of Activation V.

A quantity derived from the pressure dependence of the rate constant of a reaction (mainly used for reactions in solution), defined by the equation

[Delta][double dagger]V = -RT([partial differential]ln k/[partial differential]p)T

providing that the rate constants of all reactions (except first-order reactions) are expressed in pressure-independent concentration units, such as mol dm- 3 at a fixed temperature and pressure.

The volume of activation is interpreted, according to transition state theory as the difference between the partial molar volumes of the transition state ([double dagger]V) and the sums of the partial volumes of the reactants at the same temperature and pressure, i.e.,

[Delta][double dagger]V = [double dagger]V - [Sigma](rVR)

where r is the order in the reactant R and VR its partial molar volume.


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