$1.$E The second virial coefficients of $N_2$ at a series of temperatures are given by

$\backslash$table$[[\frac{T}{K},75,100,125,150,200,250,300,400,500,600,700],[\frac{B^{\text{'}}}{c}{m}^{3}mo{l}^{-1},-274,-160,-104,-71\mathrm{.}5,-35\mathrm{.}2,-16\mathrm{.}2,-4\mathrm{.}2,9,16\mathrm{.}9,21\mathrm{.}3,24]]$

$($a$)$ Fit these data to the function

$B^{\text{'}}=+T+T^2$

$($b$)$ Plot this function versus temperature. $($c$)$ Calculate the Boyle temperature of molecular nitrogen.