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PLENTIFUL ENERGY

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stored energy: energy stored in the bonds of atoms and molecules as potential<br />

energy. Reactions result when there is a reduction in the stored chemical energy<br />

from the reactants to the product—like a weight losing height under the force of<br />

gravity. The driving force is the energy transfer.<br />

Energy transfer is the very subject of thermodynamics. The name in fact means<br />

movement of heat or energy. There are two parts to the thermodynamics of this.<br />

First, and most straightforwardly, a reaction can occur if energy is released by the<br />

reaction (felt as heat, a decrease in ―enthalpy‖, another name for total energy).<br />

Second, if the energy of the product is less concentrated, more spread out, less<br />

useful, after the reaction, there is an increase in ―entropy,” a somewhat elusive<br />

concept, but it too is an energy change—an energy loss, in fact. The two, enthalpy<br />

change and entropy change, may not act in the same direction, but if the net of the<br />

two overall is a decrease in energy content, the reaction can take place.<br />

The net change is called the free energy: that is, it is the energy free to drive the<br />

reaction. It is the maximum energy available from a reaction for conversion to other<br />

forms of energy. It can be looked at as a ―chemical potential,‖ or as a voltage, in<br />

fact. For it is a potential energy, and may be thought of as the energy actually<br />

available to ―flow downhill‖ and do useful work. As noted previously, there are<br />

energy barriers to the reaction proceeding spontaneously, but when those are<br />

overcome (we used ignition as an example), reactions are free to proceed.<br />

The classic thermodynamic relationships, elegant and simple, apply. Using them,<br />

precise calculations can be made of the energy exchanges. These in turn define<br />

what redox reaction can occur and under what conditions. Thermodynamics gives<br />

us the quantitative information we need.<br />

For those with some mathematical background, these considerations are<br />

summarized in the expression<br />

G = U + TS. (1)<br />

The free energy is denoted by G (for Gibbs, the originator of the concept).<br />

Enthalpy, U, is a measure of the energy intrinsic to the compound, its ―internal<br />

energy.‖ Entropy, S, is that portion of that energy unavailable for anything useful.<br />

It‘s a loss of energy that comes with the rearrangement of atoms and molecules in<br />

the reaction. T is the absolute temperature in Kelvin, showing that the entropy<br />

effect rises as temperature (and in turn, molecular motion) increases.<br />

At constant temperature the change in G, G, in forming a compound is given<br />

by equation (2) below. If G is negative (think of this as a well, with the depth<br />

given by the magnitude of G), the reaction forming the compound will tend to<br />

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