how do you find delta G the same way you find max work?

To calculate the change in Gibbs free energy (ΔG) and the maximum work, you use different equations based on the context:

1. ΔG for a chemical reaction:
ΔG can be calculated using the equation:
ΔG = ΔH - TΔS
where ΔH is the change in enthalpy, T is the temperature in Kelvin, and ΔS is the change in entropy.

2. Maximum work from a reaction:
The maximum work (wmax) that can be obtained from a chemical reaction is given by:
wmax = -ΔG
This equation arises from the thermodynamic relationship between Gibb's free energy and work.

Therefore, ΔG and maximum work are related in that the maximum work (wmax) that can be obtained from a reaction is equal to the negative of the change in Gibbs free energy (-ΔG).

To find ΔG for a chemical reaction, you usually need experimental data such as the enthalpy change (ΔH) and entropy change (ΔS) of the system. These values can be obtained through experiments or estimated using thermodynamic databases. Once you have these values, you can use the first equation mentioned above to calculate ΔG.