# How are the graphs for:?

## >Boyle's Law >Pressure Law _>Charles Law

Jan 26, 2018

Boyle's Law : At constant temperature($T$), pressure ($P$) of fixed amount of an ideal gas is inversely proportional to its volume($V$)

$P \propto \frac{1}{V}$

or, $P = \frac{k}{V}$ (where, $k$ is a constant)

or, $P V = k$

this is an equation of rectangular hyperbola

And, $P$ vs. $\frac{1}{V}$ is an equation of straight line

Charle's Law: At constant pressure ($P$), the volume($V$) of fixed amount of an ideal gas is directly proportional to its temperature ($T$) in Kelvin scale.

$V \propto T$

or, $V = c T$ (where, $C$ is a constant)

this an equation of straight line passing through origin.

Gay-Lussac's Law or Pressure Law: At constant volume($V$) the pressure($P$) of fixed amount of an ideal gas is directly proportional to its temperature($T$) in Kelvin scale.

$P \propto T$

or, $P = b T$ (where, $b$ is a constant)

so,this is also an equation of straight line passing through origin.