Dinitrogen tetroxide, N₂O₄(l) is an important component of rocket fuels—for example, as an oxidizer of liquid hydrazine in the Titan rocket. At 25 °C, N₂O₄ is a colorless gas that partially dissociates into NO₂, a red-brown gas. The color of an equilibrium mixture of these two gases depends on their relative proportions, which in turn depends on the temperature (Fig. 15-7). Equilibrium is established in the reaction N₂O₄(g) ⇌ 2 NO₂(g) at 25 °C. The quantities of the two gases present in a 3.00 L vessel are 7.64 g N₂O₄ and 1.56 g NO₂. What is the value of K_c for this reaction?

Figure 15-7

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(a) (b)