After learning the Gas law, that I got some general idea of the beauty of equations, I think the expression of textbooks is pretty strange, they trying to divide one simple formula to several different unclear ones, hmm…
I think the better the equation is the more factors it includes in; it does not let the question become complicated but even make it even simpler because people do not need to think about do they include some factors or not, so which even help them understand the concept better.
Here is the Ideal Gas Equation:
Then we have:
-The Boyle’s Law:
-The Charles Law:
-The Gay-Lussac’s Law:
All three equations above could be explained by the Ideal Gas Equation because they just keep the other two factors in constant, and do a “simplified equation” of two other factors remained.
That we can notice that only the Boyle’s Law is two factors multiply with each other, because they are on the same side of the Ideal Gas Equation, so if we keep the other two factors in constant, they must have an inverse relationship.
Which is P1V1=nRT, P2V2=nRT, because nRT is the same, so we got the Boyle’s Law. However, there could be less deviation between the Ideal Gas condition and the real gas condition, because we can put more factor here. Assume we consider the size of the particle effect the behavior, maybe we can invent a new equation.