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, ${\displaystyle W=Nk_{b}Tln({\frac {V_{i}}{V_{f}}})}$.

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

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