Question

What is the concentration of NO gas at equilibrium if you mix 0.20 mol of N 2 and 0.15 mol of O 2 in a 1.0 L

container at 2000 °C? The K c for the reaction at 2000 °C is .

N 2 + O 2 > 2NO

Answer 1

Question #61567 – Chemistry – Organic Chemistry

Question

1. What is the concentration of NO gas at equilibrium if you mix 0.20 mol of N2 and 0.15 mol of O2 in a 1.0 L container at 2000 °C? The Kc for the reaction at 2000 °C is .

N2 + O2 -> 2NO

Solution

Solution is difficult because $K_c$ is not given by customer.

$$K_c = [NO]^2 / ([N_2][O_2])$$

If x mol of N2 react with O2

$$K_c = [2x]^2 / [0.2 - x][0.15 - x]$$ $$(K_c - 4) * x^2 - 0.35K_c x + K_c * 0.03 = 0$$ $$x = (4 - K_c + (0.35^2 - 4(K_c - 4) * K_c * 0.03)^{0.5}) / (2(K_c - 4)) \quad \text{– typical solution of quadratic equation}$$ $$[NO] = 2x = 2 * (4 - K_c + (0.35^2 - 4(K_c - 4) * K_c * 0.03)^{0.5}) / (2(K_c - 4))$$

Answer: $[NO] = 2 * (4 - K_c + (0.35^2 - 4(K_c - 4) * K_c * 0.03)^{0.5}) / (2(K_c - 4))$

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