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Reactions with a positive Gibbs free energy are usually carried out with accompaniment of another reaction. This is called a coupled reaction, and it allows the overall process to occur. An example is ATP hydrolysis, in which ATP is used to carry out the main reaction.
Like stated above, reactions with positive delta G usually involve coupling with ATP hydrolysis in order to carry out an anabolic reaction where the reactants form a higher energy product. These reactions are called endergonic. Another example of a reaction like this is photosynthesis which utilizes light energy instead of ATP to build glucose.
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