Final answer:
To determine the equilibrium concentrations of substances in a chemical reaction, the initial concentrations, balanced chemical equation, and equilibrium constant (K) are used. An ICE table can be set up to track the changes from initial to equilibrium states, and K is applied to solve for the final concentrations.
Step-by-step explanation:
To answer the question regarding the equilibrium concentrations of a reaction mixture based on the given reactants and the equilibrium constant (K), we must apply the principles of chemical equilibrium. A balanced chemical equation and an understanding of the initial concentrations, along with the value of the equilibrium constant, are needed to derive the final equilibrium concentrations of all substances involved.
In the case of the system with initial concentrations of 0.200 M H₂ and 0.155 M C₂H₄, the reaction under consideration is likely the synthesis of ethane (C₂H₆) through a reaction of hydrogen gas (H₂) and ethene (C₂H₄), represented by the equation:
3H₂(g) + C₂H₄(g) ⇌ 2C₂H₆(g)
The equilibrium constant (K) is 9.6 × 10ⁱ₈ at 25°C. To find the equilibrium concentrations, we would set up an ICE table (Initial, Change, Equilibrium) and apply the expression for K to solve for the equilibrium concentrations of H₂, C₂H₄, and C₂H₆.