Questions (regarding my own class-notes on acids/bases)?

I understood my notes perfectly just last week, and now I'm confused about what I was rambling about. According to my notes, Keg = [products] / [reactants] What on earth does this mean? My notes fail to explain... I've also got down that Ka = acid, Kb = base, Ksp = salt, and Kw = water (1 * 10^... show more I understood my notes perfectly just last week, and now I'm confused about what I was rambling about.

According to my notes, Keg = [products] / [reactants]
What on earth does this mean? My notes fail to explain...

I've also got down that Ka = acid, Kb = base, Ksp = salt, and Kw = water (1 * 10^ -14).

What is this mysterious "K" measuring? How acidic something is?
And why is water always equal to 1 * 10^ -14?
There's also something about an ionization constant.

Finally, I've scratched into a corner that H3O+ (hydronium) == H+
Is that even true?
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