Noxious NO Gas Can Form from N₂ and O₂ Gases $\leftrightarrows$

Multiple Choice

Noxious NO gas can form from N₂ and O₂ gases in automobile engines at high temperatures. If the value of the equilibrium constant, K_c, for this reaction at 25°C is 1.95 *10^-31, what is the value at 2000°C?
N₂(g) + O₂(g) $\leftrightarrows$ 2NO(g)
Thermodynamic Properties of Nitrogen Monoxide $\begin{array}{|c|c|c|}\hline\Delta G_{\mathrm{f}}^{\circ} & \Delta H_{\mathrm{f}}^{\circ} & \boldsymbol{S}^{\circ} \\\hline 87.6 \mathrm{~kJ} / \mathrm{mol} & 90.3 \mathrm{~kJ} / \mathrm{mol} & 211 \mathrm{~J} /(\mathrm{mol} \cdot \mathrm{K}) \\\hline\end{array}$

A) 2.8* 10³
B) 3.7 *10²
C) 6.9 * 10^-2
D) 6.2 *10^-4
E) 1.7 *10^-6