# Boyle's Law?

May 17, 2018

"At constant Temperature, Volume of a fixed mass of a gas is inversely proportional to the pressure applied to it." _Statement.

#### Explanation:

HISTORY:

In 1662, Robert Boyle gave the relationship b/w pressure and volume of fixed mass of a gas at constant temperature.

MATHEMATICALLY:

$V \propto \frac{1}{P}$ (at constt. temperature)

Changing $\propto$ into "=" sign

$V = K \times \frac{1}{P}$ (where k is the proportionality constant)
$V = \frac{K}{P}$
By cross multiplication
$P V = K$

In other words;

"The product of Pressure and Volume for a fixed mass of a gas remains constant at constant temperature."

Now, Let a gas of initial volume ${V}_{1}$ be under a Pressure ${P}_{1}$ . If the pressure is increased to ${P}_{2}$ the Volume decreases to ${V}_{2}$.

This concludes ${V}_{\propto} \frac{1}{P}$