Mathematical Exploration:
Constructing the Iron-Carbide phase diagram using Gibbs Free energy curves
Introduction
The first time I heard of the term “phase diagram” was on an online post about the 911 attacks.
In 2005, the first installment of the Loose Change film series (series of films which argued in favor of conspiracy theories surrounding the September 11th attacks) was released. The movie suggested that the United States government itself orchestrated the September 11th, 2001 attacks.
Conspiracy theorists claimed that the burning fuel from crashed planes would not have been able to melt the supporting beams of the World Trade Center – and this is the origin of the assertion “jet fuel can’t melt steel beams” that was once viral.
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This type of work could be formation of chemical compounds, combustion of fuels or even neutralization of acidic and alkali chemicals. If the change in Gibbs free energy during a reaction is negative, the reaction is therefore said to be spontaneous, meaning it can happen on its own without the help of external forces. On the other hand, is the value turns out to be positive, the reaction would be non-spontaneous and requires external energy/force to initiate it.
The Gibbs free energy equation is defined as:
〖∆G〗_f^θ=〖∆H〗_f^θ-T∆S_f^θ
ΔG = change in Gibbs free energy, joules
ΔH = change in enthalpy (change in heat), joules
T = temperature, Celsius
ΔS = change in entropy (change in the behavior of particles in a reaction), joules per Celsius
The “f” and “θ” reads: formation under standard conditions (represented by θ). Formation is a type of chemical reaction and standard conditions are at 25ºC and 1atm (measurement for pressure). Having all the variables under standard condition can help control the results, making the results more accurate and reliable.
The change in enthalpy and entropy is often also expressed in terms of heat capacity and temperature and an available version of the equation