TR3.5

Entropy

Houjun Liu 2021-09-27 Mon 12:00

1 Entropy

#flo #disorganized

Startistical measure of randomness in a reaction of systems.

Entropy measured in microstates — the spead of energy in states. Greater numbers of microstates means that there is more entropy

To think about this, think about states of matter:

  • Gas => Most Entropy
  • Water => Meh Entropy
  • Solids => Least Entropy

Screen Shot 2020-10-02 at 2.29.24 PM.png

Figure 1: Screen Shot 2020-10-02 at 2.29.24 PM.png

In this image, states (a) and (e) are least likely. This is because *the greater the spread, the greater the entropy; systems like to have an increase of entropic state as much as it is possible.*

\definition{Second Law of Thermodynamics}{In the universe, entropy is increasing due to chemical processes.}

1.1 Gibbs Free Energy

\(\Delta G = \Delta H - t \Delta S\)

Change in gibbs free energy is equal to change in enthalpy minus the change in entropy multiplied by the temperature.

\(\Delta H\) \(\Delta S\) \(-T \Delta S\) \(\Delta G\) Spontanety? Examples?
+ - + + Non-Favorable Nonspontaneus: creating less entropy, heat is going in. TBD
- + - - Favorable Spontenous: creating more entropy, heat is flowing out. Combustion Reactions ( blowing things up)
- - + \(\pm\) Low Temp: Spontaneous High Temp: Nonspontaneus  
+ + - \(\pm\) High Temp: Spontaneous Low Temp: Nonspontaneus