Consider the reaction below:

3C(s) + 3H2(g) ⥫⥬ CH4(g) + C2H2(g)

The equilibrium expression for the reaction above is:

Question

Consider the reaction below:

3C(s)  +  3H2(g)  ⥫⥬  CH4(g)  +  C2H2(g)

The equilibrium expression for the reaction above is:

BlackTom AI · Accepted Answer

The question asks for the equilibrium expression for the given reaction. Since no answer options are provided, I’ll first lay out the general form of the expression and explain the role of each species.

Step 1: Write the balanced equation as given: 3 C(s) + 3 H2(g) ⇌ CH4(g) + C2H2(g).

Step 2: Apply the equilibrium expression. For a reaction aA + bB ⇌ cC + dD, the expression is K = (a_C)^c (a_D)^d / (a_A)^a (a_B)^b, where activities are raised to their stoichiometric powers.

Step 3: Identify activities of each species. Pure solids (C(s)) have activity approximately 1 and do not appear in the expression. Gases (H2, CH4, C2H2) have activities equal to their partial pressures (in atmospheres) or concentrations (in mol/L) depending on the chosen form of the expression.

Step 4: Construct the expression with appropriate exclusions. Since C(s) is a solid, it is omitted from the numerator and denominator. The equilibrium expression then becomes:

K = (a_CH4)(a_C2H2) / (a_H2)^3.

If using partial pressures, this becomes:
K_p = (P_CH4 × P_C2H2) / (P_H2)^3.

If using concentrations in solution (less common for hydrocarbon gases, but conceptually analogous), it would be:
K_c = ([CH4][C2H2]) / ([H2])^3, with the same omission of solid activities.

Step 5: Clarify typical conventions. In gas-phase equilibria, it is common to express in terms of partial pressures, so K_p = (P_CH4 × P_C2H2) / (P_H2)^3. Remember that solids do not appear in K expressions because their activities are 1.

Note: Because no answer options were supplied in the prompt, there is no option-by-option analysis to perform. If options are provided, I can map each one to these principles and explain precisely why it matches or deviates from the correct form.

AGRI10046_2025_SM2 Week 4 progress quiz

Consider the reaction below: 3C(s) + 3H2(g) ⥫⥬ CH4(g) + C2H2(g) The equilibrium expression for the reaction above is:

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