This chemistry question involves key chemical concepts and calculations. The detailed solution below walks through each step, from identifying the reaction type to computing the final answer.

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Step 1: Identify the given reversible reaction. The reaction shown in the image is the synthesis of ammonia:
Step 2: Identify the reactants and products along with their stoichiometric coefficients. • Reactants: has a stoichiometric coefficient of 1, and has a stoichiometric coefficient of 3. • Products: has a stoichiometric coefficient of 2.
Step 3: Write the equilibrium constant expression (). The equilibrium constant is defined as the ratio of the product of the concentrations of the products (each raised to the power of its stoichiometric coefficient) to the product of the concentrations of the reactants (each raised to the power of its stoichiometric coefficient). Substituting the species and their coefficients from the given reaction:
Step 4: Simplify the expression. K_c = \frac{[\text{NH_3]^2}{[N_2][H_2]^3}}
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This chemistry question involves key chemical concepts and calculations. The detailed solution below walks through each step, from identifying the reaction type to computing the final answer.