###### Asked in PhysicsChemistry

# What is the relationship between an ideal gas pressure and its volume?

## Answer

###### Wiki User

###### January 21, 2008 4:37AM

Firstly, an ideal gas is one consisting of identical particles
with no volume. These particles feel no intermolecular forces and
undergo perfectly elastic collisions with the all of the container.
It is important to note that real gases do not exhibit these
characteristics and that it merely provides an approximation.
Though the heading "Ideal Gas" can be separated into two board
sections, the classical thermodynamic ideal gas and the ideal
quantum Boltzmann gas; from the question wording I'll assume it's
the former we're dealing with (both are essentially the same,
except that the classical thermodyamic ideal gas is based on
classical thermodynamics alone). The classical ideal gas pressure,
p, and its volume, V, are related in the following way:
*pV=nRT* where n is the amount of gas in moles , R is the gas
constant, 8.314J•K-1mol-1 (Joule Kelvin per mole) and T is the
absolute temperature in Kelvin. ** Put simply** :

*the relationship between pressure and volume is the that the change in pressure is inversly proportional to the volume.*

*p= a/V*where a is a constant; in this case (nRT).