Nitrogen and hydrogen react to form ammonia. $\text{N}_2(\text{g}) + 3\text{H}_2(\text{g}) \rightleftharpoons 2\text{NH}_3(\text{g})$. A gaseous mixture containing $2.00\,\text{mol}$ of nitrogen, $6.00\,\text{mol}$ of hydrogen, and $2.40\,\text{mol}$ of ammonia is then permitted to attain equilibrium in a sealed vessel with a volume of $1\,\text{dm}^3$ under given conditions. The equilibrium mixture was found to contain $2.32\,\text{mol}$ of nitrogen. Determine the value of $K_c$ for these conditions.
- A$\dfrac{(1.76)^2}{(2.32)(6.96)^3}$
- B$\dfrac{(1.76)^2}{(2.32)(6.32)^3}$
- C$\dfrac{(2.08)^2}{(2.32)(6.32)^3}$
- D$\dfrac{(2.40)^2}{(2.32)(6.00)^3}$