Use the information in Table 5G.2 to determine the value of K at 500 K for the reaction 2 NH₃(g) + 3 I₂(g) ⇌ N₂(g) + 6 HI(g).

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TABLE 5G.2 Equilibrium Constants for Various Reactions Reaction H₂(g) + Cl₂(g) 2 HCl(g) H₂(g) + Br₂(g) → 2 HBr(g) H₂(g) + I₂(g) 2 HI(g) 2 BrCl(g) Br₂(g) + Cl₂(g) 2 HD(g) - H₂(g) + D₂(g) T/K* 300 500 1000 300 500 1000 298 500 700 300 500 1000 100 500 1000 K 4.0 × 10³1 4.0 × 10¹8 5.1 X 108 1.9 X 10¹7 1.3 × 10 ¹0 3.8 x 10¹ 794 160 54 377 32 5 0.52 0.28 0.26 K 4.0 × 10³1 4.0 × 10¹8 5.1 x 108 1.9 X 10¹7 1.3 × 10¹0 3.8 x 104 794 160 54 377 32 5 0.52 0.28 0.26