At 1000 K the Kc value for the following reaction is 1.5 × 10⁶ (1) N₂O₄ (g) ⇌ 2 NO₂ (g) At 1000 K the Kc value for the following reaction is 1.4 × 10⁻¹⁰ (2) N₂ + 2 O₂ ⇌ 2 NO₂ (g) Calculate the Kc value at 1000 K for the reaction: N₂ (g) + 2 O₂ ⇌ N₂O₄

The value of Kc is 9.33 * 10^-17

Explanation:

Step 1: Data given

Temperature = 1000 K

N₂O₄ (g) ⇌ 2 NO₂ (g) Kc = 1.5 * 10^6

N₂ (g) + 2 O₂(g) ⇌ 2 NO₂ (g)  Kc = 1.4 * 10^-10

Step 2: Calculate Kc for  N₂ (g) + 2 O₂ ⇌ N₂O₄

N₂O₄ (g) ⇌ 2 NO₂ (g) Kc = 1.5 * 10^6

2 NO₂ (g) ⇌  N₂O₄ (g)    = 1/Kc = 1 / 1.5 * 10^6   = 6.67 *10^-7

N₂ (g) + 2 O₂(g) ⇌ 2 NO₂ (g)  Kc = 1.4 * 10^-10

Kc = Kc1 * Kc2

Kc = (6.67 *10^-7) * (1.4 * 10^-10)

Kc = 9.33 * 10 ^-17

The value of Kc is 9.33 * 10^-17

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