Final answer:
To determine the equilibrium constant at 255 K for the given reaction under acidic conditions, use the Nernst equation and the half-reactions provided to write the balanced equation. Then, calculate the equilibrium constant using the concentrations of the species.
Step-by-step explanation:
The equilibrium constant for a reaction under acidic conditions can be determined using the Nernst equation. In this case, we can use the half-reactions given to write the balanced equation for the overall reaction:
4H+(aq) + MnO2(s) + 2Fe2+(aq) -> Mn2+(aq) + 2Fe3+(aq) + 2H2O
The equilibrium constant (K) at 255 K can be calculated using the concentrations of the species involved and plugging them into the equation:
K = [Mn2+][Fe3+]2 / [H+]4