The Ideal Gas Law

Ideal gas law:

PV = nRT


      P = pressure

      V = volume

      n = number of                    moles


R = gas constant

T = temperature    (Kelvin)


 

The ideal gas law comes from Kinetic-Molecular Theory (KMT), and also from the fact that PV and nRT both have the units , which are the same units as energy.  PV is energy in the form of work that the gas can do on its surroundings, and nT is the internal energy that the gas molecules have because of their motion.  (R is the constant that makes the two sides numerically equal.)  This means that the ideal gas law is just the law of conservation of energy—the internal energy of the molecules equals the work that the gas is capable of doing on its surroundings.


The Gas Constant (R):

Because R is just a number that makes the energy balance work, its value depends on the units that you are using:



When solving gas law problems, look at your units first (especially the pressure units), and choose the value of R that has the same units.

If any of the units in the problem are different from the units of R, you will need to do a conversion.