The First Law of Thermodynamics and Where the Gibbs Fundamental Equation Comes From

The derivation of the Gibbs fundamental equation from the first law of thermodynamics as well as equations we have derived from first principles previously. Another equation that is often given to students with no explanation, and we are finally getting closer to applications to real chemistry! -- Mathematics of Entropy -    • The Origin and Maths of Entropy Explained   Defining Temperature -    • Taking on Gibbs Entropy and Defining Tempe...   Supplemental: Energy -    • Supplemental: What Exactly is Energy?   Derivatives -    • Supplemental: Derivatives and Statistical ...   -- Please support me by subscribing, liking, and sharing this video. If you would like to support me directly, please consider donating to my Patreon to help encourage these types of videos and more in depth teaching of advanced science concepts that I attempt to explain such that any student of the field can understand them. Thank you! https://www.patreon.com/thebeardedche...