Sunday, October 27, 2024

Boyle's Law, Volume and Pressure

GIF image courtesy NASA's Glenn Research Center, Public domain, via Wikimedia Commons
 

A nice little animation from Wikipedia showing the relationship between pressure and volume of a gas. If you studied science at school, you may remember this relationship is described by Boyle's Law which states that at constant temperature, the absolute pressure of a gas is inversely proportional to the volume. So if you squash a gas into half the original volume, the pressure doubles. If the volume is made ten times smaller, the pressure becomes ten times higher and so on. The law was formulated by Robert Boyle, a 17th century scientist from Lismore in Waterford. If P is the pressure and V is the volume of a gas, then:
 
P ∝ 1/V
 

Absolute and gauge pressure

 

Absolute pressure is pressure above vacuum and gauge pressure is pressure above atmospheric pressure. So for instance if I have a container and I put a lid on it and the container is fitted with a pressure gauge, the gauge will read zero because it only reads pressure above atmospheric. (A tyre pressure gauge does this and if a tyre is completely flat, the gauge will read zero) However the air inside the container and all the air around us is at at an absolute pressure greater than zero due to the weight of the atmosphere. That pressure is approximately 15 pounds per square inch (psi) absolute or in metric 101,325 pascals (Pa). Atmospheric pressure is also indicated as 1 bar or 1 atm. See this link:
 

Constant temperature in the law

 

The law states that the inverse pressure/gas relationship is at constant temperature. This means that it's only true if temperature is kept constant. In reality, if a gas is compressed, it actually gets hot because of gas molecules becoming closer together (just like the way a bicycle tyre gets hot when you pump it up).
 
GIF image courtesy NASA's Glenn Research Center, Public domain, via Wikimedia Commons