Answer: The relationship between the pressure and the volume is given as P=K/V or PV= K. (Pressure increases as Volume decreases).
Step-by-step explanation:
When gas is trapped in an enclosed medium for example a cylinder by a piston. When the piston is pushed in, the gas particles will have less room to move as the VOLUME the gas occupies has been DECREASED. This will automatically lead to frequent collision of the has particles with the wall of the container. The collision exerts forces which leads to INCREASED PRESSURE.
This obeys the Boyle's law which states that the volume occupied by a fixed mass of gas is inversely proportional to the pressure, provided temperature is kept constant. This can be mathematically expressed below:
PV=K, where K is constant
P1 V1=P2 V2
Where,
P1= initial pressure
V1= initial Volume
P2= final pressure
V2= final Volume.
Therefore, increasing pressure from initial pressure to final pressure means that initial volume will change to final volume, providing the temperature remains constant.