posted on Mar, 6 2008 @ 11:03 PM
In daily life free energy might mean "energy for free money". In physics, free energy has a different meaniing.
For a system in thermodynamics, we have a state function enthalpy, H, which is related to another state function G, (Gibbs) free energy, and entropy,
S, as shown by Equation 1.
H = G + TS (1)
where T is the absolute temperature (in K). For a process, the change of these state functions are shown as in Equation 2.
Δ G = Δ H – Δ (TS) (2)
If this process is in constant temperature and constant pressure, then we re-write Equation 2 into Equation 3:
Δ G = Δ H – T Δ S (3)
where Δ G is the difference of free energy, or change in free energy. Δ H equals to the heat effect in this process, and Δ S is the change in
entropy. Here, this Δ G is the most possible energy you can exploit from a system in a process.
An exothermic chemical reaction can convert the heat energy into electricity. For example, the oxidation of hydrogen as in fuel cells, can give out
heat. At a constant pressure (1 atm, 298 K), 1 mole of hydrogen can generate heat of 286 kJ (Δ H = -286 kJ) upon combustion, this is called the
chemical energy of hydrogen. However, when hydrogen is used in fuel cell, you cannot exploit all this 286 kJ and change it into electric energy
because it need to deal with the entropy change (Δ S = -163.2 J/K = -0.1632 kJ/K ), you can only obtain a portion of it, as shown in Equation 4.
Δ G = Δ H – T Δ S = -286- 298*(-0.163) = - 237 kJ
This shows that only 237 kJ out of 286 kJ of the chemical energy, or, 83%, could be possibly converted into electric energy. This is the theoretical
energy efficient of a hydrogen fuel cell. The rest of the energy is inevitably dissipated into the environment. There is no way we convert the
energy in a 100% efficiency. That portion of energy that can be converted into electricity is therefore called (change in) free energy.