Determine the value of the thermodynamic equilibrium constant $K$ at $298K$ for the following reaction

$2NO(g)N_2(g)+O_2(g)$

$K=?at298K$

using the following data:

$NO(g)+\frac{1}{2}B{r}_{2}NOBr(g),K=1\mathrm{.}41at298K$

$N_2(g)+O_2(g)+B{r}_2(g)2$NOBr$(g),K=9\mathrm{.}52{10}^{-31}at298K$

a$.8\mathrm{.}44{10}^{-31}$

b$.6\mathrm{.}35{10}^{-30}$

c$.2\mathrm{.}09{10}^{30}$

d$.1\mathrm{.}39{10}^{31}$

e$.4\mathrm{.}46{10}^{61}$