Definitions
What exactly are "acids" and "bases"? How do we define them? There are a few ways. Here are a few videos that can help:
To find out more about the acids or bases, you can also click on the drop-down menu under the "definitions" tab.
So those first two were a little simple, I'll admit, but they are a good introduction. Our friend, Hank, provides some more detail in his crash course:
The crash course on acid-base reactions also touches on how we see these types of reactions affecting nature, mentioning acid rain and its affect on limestone as well as other substances.
Here are also a few websites that go into a little more detail:
https://www.khanacademy.org/science/chemistry/acids-and-bases-topic
https://www2.nau.edu/lrm22/lessons/acids_and_bases/acids_and_bases.html
https://courses.lumenlearning.com/boundless-chemistry/chapter/acids-and-bases/
pH (and pOH) are mentioned in relation to measuring/quantifying acidity so here is a crash course on them, in addition to the material already provided. pOH isn't typically used as commonly as pH, however.
So, to summarize:
there are three main definitions of acids and bases (Bronsted-Lowry, Arrhenius, Lewis definitions).
in general, if add base to an acid, salt and water are produced.
strong acids/bases completely dissociate while weak acids/bases do not completely dissociate.
conjugate acids/bases are species formed after accepts/donates a proton
pH is a measure of the strength of acidic/basic character for a given substance. Mathematically, pH= -log [H+] and has a scale of 0 to 14. Neutral pH is defined as 7, but is commonly given a range between 6 and 8.
pOH is a measure of hydroxide (OH-) concentration and equals -log [OH]
water can act as either an acid or base due to auto-ionization ("amphoteric"). Pure water is considered pH-neutral (pH=7).
Dissociation of water, with the constatnt, Kw, is equivalent to [OH-]*[H+], which equals 10^(-14).
pKw= pH + pOH = 14 (at 25 degrees Celsius)
A note: Chemists typically write H3O+ (hydronium ion) as H+, but these are not truly "free" protons