2. For the reaction below the value of Kc is 1.7x10$^8$ at 340$^\circ$C. N$_2$H$_4$, NO$_2$ and H$_2$O are added to a 1.00 liter container, which is then heated to 340$^\circ$C. After equilibrium is established, the concentrations of the gases are as indicated below. Calculate the equilibrium concentration of N$_2$ in the container. (6)
2 N$_2$H$_4$ (g) + 2 NO$_2$ (g) $\rightleftharpoons$ 3 N$_2$ (g) + 4 H$_2$O(g)
[ ]$_{eq}$ 0.0252 0.0123 2.98