# 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.