# How do you derive the Ideal Gas Law from Boyle and Charles’ laws?

Feb 29, 2016

Well the original equation is PV = nRT

From there, we can make several derivations

If any part is constant, we can just isolate it and equal all of these to the other case

For example, the R is often constant, so we can set up

PV / nT = R = PV / nT

Boyle's law assumes that only pressure and volume changes

So, we have PV = PV

Charles' law assumes that P, R, and n are constant

So we have V/T = V/T