To understand boyle's law and its different forms
Boyle's law was proposed by the anglo-irish scientist robert boyle in 1662 this law is the result of the experiments conducted to understand the variation in volume with pressure for a fixed amount of gas at constant temperature
let's understand the law better based on some observations consider a cylinder with an movable piston in enclosing a gas at constant temperature the pressure on the gas molecules can be changed by adding weight on the piston in the given setup when the pressure is p the volume of the gas is observed to be, we now increase the pressure to 2p by adding weight.
As a result volume of the gas becomes v by two increase the pressure further to three p and observe the volume.
The volume becomes v by three let's tabulate our observations from the table it is clear that at constant temperature as pressure n increases the volume of a fixed mass of gas decreases for a fixed mass of gas.
At constant temperature the product of pressure and volume is constant boyle's law is the result of these two observations so boyle's law states that at constant temperature the volume of a fixed amount of gas is inversely proportional to the pressure applied on it.
At constant temperature the product of pressure and volume of a fixed amount of gas is constant.
Mathematically pv is equal to k at constant t and n where t is the absolute temperature and n is the number of moles of gas at constant temperature for a fixed.amount of gas.at different pressure and volumes boils will follow p1 v1 is equal to p2 v2 which is equal to p3 v3 and so on up to pnv observe the graph between pressure and volume for a fixed amount of gas at constant temperature if we plot the graph between p and v, we get a curve known as hyperbola.
Let's summarize boyle's law states
At constant temperature the volume of a fixed amount of gas is inversely proportional to the pressure applied on it.
n for a given mass of gas the graph between pressure and volume is a hyperbola.