Biological Physics/Boyle's Law

Boyle's Law states that the volume and pressure are inversely proportional. This means that as the volume of gas in a container decreases, the pressure increases. To test Boyle's Law a syringe was attached to a pressure meter and weights were added to the plunger to show the relationship between the volume and pressure inside the syringe. Below is a table of values showing the results of the experiment. In the table to work done is calculated based on the difiniton of work, W=mgΔx, and work derived from the ideal gas law, $W=Nk_{b}Tln({\frac {V_{i}}{V_{f}}})$.

Mass (kg)	W=mgΔx	Pressure (Pa)	Volume ($m^{3}$)	$W=Nk_{b}Tln({\frac {V_{i}}{V_{f}}})$	Distance (m)
0.0000	0.0000	$1.0209*10^{5}$	$5.0000*10^{-6}$	0.0000	0.0000
0.3000	0.0265	$1.2280*10^{5}$	$4.0000*10^{-6}$	0.1139	0.0090
0.8000	0.0706	$1.6130*10^{5}$	$3.0000*10^{-6}$	0.1468	0.0180
1.5000	0.1323	$2.2387*10^{5}$	$2.0000*10^{-6}$	0.2070	0.0270

Below is a graph showing the relationship between the pressure and volume inside the syringe.