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The equilibrium constant Kp for the reaction 2N... - SS2 Chemistry Chemical Equilibrium Question

The equilibrium constant Kp for the reaction 2NOCl(g) ⇌ 2NO(g) + Cl2(g) is 0.034 at a certain temperature. If the partial pressure of NOCl is 0.25 atm, calculate the partial pressures of NO and Cl2 at equilibrium.

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To calculate the partial pressures of NO and Cl2 at equilibrium, we use the equilibrium constant expression in terms of partial pressures, Kp.

Kp = (P(NO)2 x P(Cl2)) / (P(NOCl)2)

Given that Kp = 0.034 and P(NOCl) = 0.25 atm, we can rearrange the equation to solve for the partial pressures of NO and Cl2:

P(NO)2 x P(Cl2) = Kp x P(NOCl)2

P(NO)^2 x P(Cl2) = 0.034 x (0.25)2

P(NO)2 x P(Cl2) = 0.034 x 0.0625

P(NO)2 x P(Cl2) ≈ 0.002125

Taking the square root of both sides, we have:

P(NO) x P(Cl2) ≈ √(0.002125)

Since the partial pressures of NO and Cl2 are equal at equilibrium, we can assign them the same value, which we'll denote as x:

x2 ≈ √(0.002125)

x ≈ √(√0.002125)

x ≈ 0.0918

Therefore, the partial pressures of NO and Cl2 at equilibrium are approximately 0.0918 atm.

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