Question

Boyle's Law?

Answer 1

"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:

`Vprop1/P` (at constt. temperature)

Changing `prop` into "=" sign

`V=Kxx1/P` (where k is the proportionality constant)
`V=K/P`
By cross multiplication
`PV=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_prop1/P`