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Spontaneity does not imply that the reaction proceeds with great speed.
For example, the decay of diamonds into graphite is a spontaneous process occurs very slowly, taking millions of years.
The rate of a reaction is independent of its spontaneity, and instead depends on the chemical kinetics of the reaction.
Every reactant in a spontaneous process has a tendency to form the corresponding product.
This tendency is related to stability.
Stability is gained by a substance if it is in a minimum energy state or is in maximum randomness.
Only one of these can be applied at a time.
e. g. Water converting to ice is a spontaneous process because ice is more stable since it is of lower energy.
However, the formation of water is also a spontaneous process as water is the more random state.

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