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Given the equilibrium constants for these reactions: N2 + 3H2 ⇌ 2NH3, K1 N2 + O2 ⇌ 2NO, K2 H2 + 1/2 O2 ⇌ H2O, K3 What is the equilibrium constant K for the reaction 2NH3 + 5/2 O2 ⇌ 2NO + 3H2O ?
- K2K3³/K1
- K2K3/K1
- K2K3³/K1²
- K3K1³/K2
Correct answer: K2K3³/K1
Solution
The equilibrium constant for the desired reaction can be derived by manipulating the given reactions. By reversing the first reaction (which introduces a factor of 1/K1) and adjusting the stoichiometry of the other reactions, we can combine them to yield the correct expression for K, which results in K2K3³/K1.
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