Part I

Using the data below, construct a graph of $P$ vs $\frac{1}{V}$ and determine the value of the gas constant, $R.$

Experiments were performed using pressurized nitrogen gas in a piston to confirm Boyle's law. The experimentalist admitted $0\mathrm{.}280$ grams of $N_2$ gas into a piston held at a constant temperature of $25C.$ The volume of the piston was then manipulated and the pressure of the gas measured. The data is shown below.

$\backslash$table$[[$Pressure $($atm$),1\mathrm{.}0,2\mathrm{.}0,3\mathrm{.}0,4\mathrm{.}0,5\mathrm{.}0,6\mathrm{.}0,7\mathrm{.}0,8\mathrm{.}0],[$Volume $($L$),2\mathrm{.}52,1\mathrm{.}21,0\mathrm{.}90,0\mathrm{.}61,0\mathrm{.}52,0\mathrm{.}42,0\mathrm{.}38,0\mathrm{.}36]]$