General Chemistry 2: Chemical Equilibrium

At 1000 K, 0.250 mol SO$_2$ and 0.200 mol O$_2$ react in a 10.0 L reaction vessel to form 0.162 mol of SO$_3$ at equilibrium. What is K$_{eq}$ at 1000 K for the reaction?

2 SO$_2$ (g) + O$_2$ (g) $\leftrightharpoons$ 2 SO$_3$ (g)

0.800 moles of N$_2$ (g) are placed in a 7.00 L flask with 3.00 moles of H$_2$ and allowed to react for some time. After several hours the concentrations of H$_2$ (g) is measured at 0.278 M. What is the equilibrium constant for the reaction at this temperature?

N$_2$ (g) + 3 H$_2$ (g) $\leftrightharpoons$ 2 NH$_3$ (g)