# Spontaneous process

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Spontaneous process

A spontaneous process is the time-evolution of a system in which it releases free energy (most often as heat) and moves to a lower, more thermodynamically stable, energy state. [ [http://www.chem.purdue.edu/gchelp/gloss/sponprocess.html Spontaneous process] - Purdue University] [ [http://cancerweb.ncl.ac.uk/cgi-bin/omd?spontaneous+process Spontaneous process] - University of Newcastle upon Tyne] The sign convention of changes in free energy follows the general convention for thermodynamic measurements, in which a release of free energy from the system corresponds to a negative change in free energy, but a positive change for the surroundings.

A process that is capable of proceeding in a given direction, as written or described, without needing to be driven by an outside source of energy. The term is used to refer to macro processes in which entropy increases; such as a smell diffusing in a room, ice melting in lukewarm water, salt dissolving in water, and iron rusting.

The laws of thermodynamics govern the direction of a spontaneous process, ensuring that if a sufficiently large number of individual interactions (like atoms colliding) are involved then the direction will always be in the direction of increased entropy (since entropy increase is a statistical phenomenon).

Overview

For a reaction at constant temperature and pressure, the change &Delta;"G" in the Gibbs free energy is:

:$Delta G = Delta H - T Delta S ,$

The sign of &Delta;"G" depends on the signs of the changes in enthalpy (&Delta;"H") and entropy (&Delta;"S"), as well as on the absolute temperature ("T", in degrees Kelvin). Notice that changes in the sign of &Delta;"G" cannot occur solely as a result of changes in temperature alone, because the absolute temperature can never be less than zero.

When &Delta;"G" is negative, a process or chemical reaction proceeds spontaneously in the forward direction.

When &Delta;"G" is positive, the process proceeds spontaneously in reverse.

When &Delta;"G" is zero, the process is already in equilibrium, with no net change taking place over time.

We can further distinguish four cases within the above rule just by examining the signs of the two terms on the right side of the equation.

When &Delta;"S" is positive and &Delta;"H" is negative, a process is spontaneous

When &Delta;"S" is positive and &Delta;"H" is positive, a process is spontaneous at high temperatures, where exothermicity plays a small role in the balance.

When &Delta;"S" is negative and &Delta;"H" is negative, a process is spontaneous at low temperatures, where exothermicity "is" important.

When &Delta;"S" is negative and &Delta;"H" is positive, a process is not spontaneous at any temperature, but the reverse process is spontaneous.

The second law of thermodynamics states that for any spontaneous process the overall change &Delta;"S" in the entropy of the system must be greater than or equal to zero, yet a spontaneous chemical reaction can result in a negative change in entropy. This does not contradict the second law, however, since such a reaction must have a sufficiently large negative change in enthalpy (heat energy) that the increase in temperature of the reaction surroundings (considered to be part of the system in thermodynamic terms) results in a sufficiently large increase in entropy that overall the change in entropy is positive. That is, the &Delta;"S" of the "surroundings" increases enough because of the exothermicity of the reaction that it overcompensates for the negative &Delta;"S" of the system, and since the overall &Delta;"S" = &Delta;"S"surroundings + &Delta;"S"system, the overall change in entropy is still positive.
Another way to view the fact that some spontaneous chemical reactions can lead to products with lower entropy is to realize that the second law states that entropy of a closed system must increase (or remain constant). Since a positive enthalpy means that energy is being released to the surroundings, then the 'closed' system includes the chemical reaction plus its surroundings. This means that the heat release of the chemical reaction sufficiently increases the entropy of the surroundings such that the overall entropy of the closed system increases in accordance with the second law of thermodynamics.
Just because a chemist calls a reaction “spontaneous” does not mean the reaction happens with great speed. For example, the decay of diamonds into graphite is a spontaneous process, but this decay is extremely slow and takes millions of years. The "rate" of a reaction is independent of its spontaneity, and instead depends on the chemical kinetics of the reaction.

* Endergonic reaction reactions which are not spontaneous at standard temperature, pressure, and concentrations.
* Diffusion spontaneous phenomena that minimize Gibbs free energy.

References

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