For N2 molecule.

The value for a is 0.00165434

Use Gnuplot to plot the molar volume, Vm, as a function of the pressure. Using Gnuplot perform a non-linear fit of the function: Vm(P)=aP1 From your fitted value of ' a ' and the ideal gas law, determine the Gas Constant, R, in units of m3 bar K1mol1. \begin{tabular}{|c|c|c|c|c|} \hline Temperature (K) & Number of molecules & Rolling average pressure(in bar) & Volume & Molar volume \\ \hline 50 & & 5.02E02 & 1.74E+05 & 2.63E02 \\ 100 & & 1.00E01 & 9.96E+04 & 1.66E02 \\ 150 & & 1.51E01 & 6.52E+04 & 1.11E02 \\ 200 & & 2.01E01 & 5.01E+04 & 8.23E03 \\ 250 & \multirow{2}{*}{256} & 2.51E01 & 4.25E+04 & 6.60E03 \\ 300 & & 3.01E01 & 3.71E+04 & 5.52E03 \\ \hline \end{tabular}