write an equilibrium constant expression for the reaction of acetylene gas with hydrogen gas to produce methane gas.

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To write an equilibrium constant expression, you first need to know the balanced equation for the reaction. The balanced equation for the reaction of acetylene gas (C₂H₂) with hydrogen gas (H₂) to produce methane gas (CH₄) is:

C₂H₂ + 2H₂ → CH₄

Now that we have the balanced equation, we can write the equilibrium constant expression. The general form of the equilibrium constant expression is:

Kc = [products] / [reactants]

In this case, the products are CH₄ and the reactants are C₂H₂ and H₂. The equilibrium constant expression for this reaction would be:

Kc = [CH₄] / [C₂H₂]·[H₂]²

Note that the coefficients in the balanced equation are used as exponents in the equilibrium constant expression. The square brackets indicate the concentrations of the species involved in the reaction.

Remember that if the reaction is at a constant temperature and pressure, the equilibrium constant (Kc) remains the same regardless of the actual concentrations of the reactants and products.