A complete ideal gas law
Proportionality statements aren't as popular today in the Twenty first Century as they were in the Nineteenth Century and earlier. We live in an era where it's all about the equation. There's good and bad in this focus. Equations convey a lot of information in a very few symbols, which is why they're so popular, but they're also a crutch; a device used to support a weak understanding and make it seem strong. Equations can be used by a student with no understanding to fake competency.
Still, it would be nice to have an equation around for those times when all you want to do is just get the job done with a minimum of hassle.
Combine the three together.
P 1 V 1 |
= |
P 2 V 2 |
= constant |

|

|
T 1 |
T 2 |
There are two ways to write the complete statement of the ideal gas law as an equation .
functional thermodynamic version |
|
statistical thermodynamic version |
|
|
PV = nRT |
|
PV = NkT |
|
P = absolute pressure |
n = number of moles |
|
N = number of particles |
|
T = absolute temperature |
R = gas constant = 8.315 J/mol·K |
|
k = Boltzmann's constant = 1.382 J/K |
|
V = volume |
|