Consider the dimerization of $N{O}_2$ to $N_2{O}_4$ in accord with

$2N{O}_2=N_2{O}_4$

Develop the expression for $lnK$ as a function of temperature for this reaction $($assuming $h_{rxn}^o=$ constant$)$ and prepare and plot an equilibrium conversion temperature diagram for a system which is initially pure $N{O}_2$ at $P=2$ bar and covering fractional conversions from $0\mathrm{.}05$ to $0\mathrm{.}95.$ Assume ideal gas behavior.