# 12.2 Ideal Gasses and the Ideal Gas Law

```12.2
Ideal Gasses and the
Ideal Gas Law
An Ideal Gas
• All gas laws are based on the assumption that
gasses behave “ideally”
• An ideal gas:
– Moves in all directions and in straight lines
– There is no loss in kinetic energy in collisions
– Particles have no size and are always the same
volume as the container
– There are no intermolecular forces
– Does not condense into a liquid when cooled
An Ideal Gas
• Ideal gasses do not exist
• “Ideal” is a convenient approximation that
works well to predict the behaviour of gases.
• At ordinary conditions, most gases obey the
gas laws and their behaviour resembles that of
an ideal gas
The Ideal Gas Law
• By combining gas laws we can come up with
the ideal gas law:
– Charles’ Law:
V/T = k
– Boyle’s Law:
PV = a
– Avogadro’s Law: V/n = b
• Combining the laws gives you:
– PV/nT = R
Where R is a constant incorporating
k, a and b
The Ideal Gas Law
PV = nRT
Where:
P is the pressure in kPa
V is the volume in L
n is the amount in moles
T is the temperature in K
R is the universal gas constant:
8.314 kPa.L/mol.K
Example
1. The Goodyear blimp has a volume of 2.5 x107L
and usually operates with the gas at a
temperature of 12 &deg;C and a pressure of 112 kPa.
What amount of helium does the blimp contain?
What is the mass of this amount of helium?
Example
2. Calculate the volume of 32.4g of nitrogen
gas, N2(g), in a container at 25&deg;C and 96.4kPa.
2. Determine the density of 1.00mol of pure
carbon dioxide gas at STP (0&deg;C, 101.3kPa).
3. 10.24 g of a pure gas occupies 2.10L at 123&deg;C
and 99.7 kPa. Calculate the molar mass of
this gas.
Homework