PV = nRT
Where,
P is the pressure of the ideal gas.
V is the volume of the ideal gas.
n is the amount of ideal gas measured in terms of moles.
R is the universal gas constant.
T is the temperature.
According to the Ideal Gas equation-
The product of Pressure & Volume of a gas bears a constant relation with the product of Universal gas constant, number of moles of gas and temperature.
Charles's law expresses the relationship between volume and temperature. Volume and temperature are directly proportional to each other in the ideal gas law. Charles's law represents this relationship, assuming all other factors to be constant, as:
V
1
T
1
=
V
2
T
2
.
Boyle's law shows the inverse proportionality of volume and pressure--that if pressure increases, volume decreases and vice versa. Boyle's law shows that pressure multiplied by volume is equal to a constant. This relationship, assuming all other variables are constant, is represented as:
P
1
V
1
=
P
2
V
2
.
Avogadro's law expresses the proportional relationship between the amount of gas (in moles) and volume of the gas. Assuming pressure and temperature are constant, equal volumes of any gas contain the same number of molecules. This law is written as:
V
1
n
1
=
V
2
n
2
.
Gay-Lussac's law expresses the directly proportional relationship of pressure and temperature, assuming that all other ideal gas law variables are constant. Gay-Lussac's law is represented by the following equation:
P
1
T
1
=
P
2
T
2
.
When all of these are combined, they can be set equal to the universal gas constant (R), resulting in the following formula:
P
V
n
T
=
R
.
If the variables are rearranged a familiar formula emerges PV=nRT.
As evidenced above, these can all be combined to form the ideal gas law, which represents the proportionality between volume, pressure, moles and temperature, using the universal gas constant to relate them. If the ideal gas law is represented proportionally, the formula is written as:
P
1
V
1
T
1
=
P
2
V
2
T
2
with the assumption that the number of moles stays the same on both sides of the equation. This equation is also known as the combined gas law. This means that the combined gas law and the ideal gas law can be represented the same way as long as the amount of gas is constant.The universal gas constant (R)
The universal gas constant can be represented in several different ways. Some of the more common values with their units are as follows:
0.0821
L
⋅
a
t
m
m
o
l
⋅
K
8.314
m
3
⋅
P
a
m
o
l
⋅
K
8314.462
L
⋅
P
a
m
o
l
⋅
K
62.364
L
⋅
T
o
r
r
m
o
l
⋅
K