The Secret Panel: Deriving the Ideal Gas Law
The ideal gas law can be derived if the following physical
approximations are valid:
- Gas molecules are moving in random directions in the sample.
(The ideal gas law would not hold if, for example, the gas molecules
were all moving from left to right in the container.)
- Interactions between gas molecules can be neglected because
the average distance between molecules is so large in a gas.
(In some gases, attractions or repulsions between molecules
are unusually large, but this typically produces only a few
percent deviation from the ideal gas law.)
- The average energy of gas particles is proportional to the
temperature of the gas: average( .5mv2 ) = temp * a constant.