Work and the Gibbs energy change

To understand how biochemical reactions can be used to release energy as work in the cell, we need to gain deeper insight into the Gibbs energy. 

We need to consider infinitesimal changes because dealing with reversible processes is then much easier. Our aim is to derive the relation between the infinitesimal change in Gibbs energy, dG, accompanying a process and the maximum amount of non-expansion work that the process can do, diVnon-exp- We start with the infinitesimal form of eqn 2.13, 

Then we replace d 1/in terms of infinitesimal contributions from work and heat (dU=dw+dq)  

The work done on the system consists of expansion work, —p V, and non-expcuision work, dw jp. Therefore, 

This derivation is valid for my process taking place at constant temperature cuid pressure. 

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