Question

State Ideal gas equation and law.

Answer 1

Ideal gas law is a law relating the pressure, temperature and volume of an ideal gas. Ideal gas equation is combination of three laws (Boyle's law, Charles law and Avogadro law) and gives a single equation $(PV=nRT)$ called as Ideal gas equation.
Mathematically,
According to Boyle's law, at constant $T$ and $n$,
$V\propto 1/P............\left(1\right)$
According to Charle's law, at constant $P$ and $n$,
$V\propto T..............\left(2\right)$
According top Avogadro law, at constant $T$ and $n$,
$V\propto n..............\left(3\right)$
From equation $1,2$ and $3$, we get
$V\propto nT/P...........\left(4\right)$
or, $V=RnT/P.............\left(5\right)$
or, $PV=nRT..............\left(6\right)$
Then, $R=PV/nT...........\left(7\right)$
Where, $R$ is a gas constant which is same for all gases and known as Universal gas constant and equation $\left(6\right),PV=nRT$ is known as ideal gas equation.