State and derive the perfect or ideal gas equation.

Explanation

This equation gives the relation between pressure P, Volume (v) and absolute temperature (T) of a gas.
The equation is PV = nRT
n - number of molecules of the gas
R - universal gas constant
Derivation:
Accumulate the Boyle's law, for a `g_(n)` mass of a gas at constant temperature.
`Vprop(1)/(P)" "(1)`
Accumulate to charle's law, for a `g_(n)` mass of a gas at constant pressure.
`VpropT" "(2)`
Combining (1) & (2)
`Vprop(T)/(P)` (or) v = constant `(T)/(P)` (or) `(PV)/(T)` = constant constant is called universal gas constant R.
PV = RT.
For one molecule of a gas, the constant has same value for all gases.
For n moles of a gas PV = nRT
This is perfect (or) ideal gas equation.