What is the molar form of the ideal gas law?
1 Answer
The molar mass form of the ideal gas equation can be written as
where
P is the pressure the gas exerts on the walls of the container that confines it.
V is the volume of that container.
R is the ideal gas constant, 8.314 Joules per mole-Kelvin.
T is the temperature of the gas.
m is the mass of the gas.
M is the mass of the gas per mole.
The molar mass form of the ideal gas equation can be derived by substituting n (the amount of gas inside the container measured in moles) into the more common form of the ideal gas equation
where n = m/M. All other variables are the same as described above.
Divide both sides of the molar mass form of the ideal gas equation PV = (m/M) RT by V and we obtain
or
which is the other way to write the molar mass form of the ideal gas equation (as mentioned above), where ρ is the density of the gas, ρ = m/V. The symbol ρ might look like the letter "p" (as in Paul), but it is not. ρ is actually a greek letter pronounced "rho".
