the equilibrium cell potential of the galvanic

Question

The equilibrium cell potential of the galvanic cell

Pt | H₂ (g, f =1 bar) HCl (aq, 0.500mol kg^-1) | Cl₂ (g, f =1 bar) | Pt

is found to be E_{cell, eq} = 1.410V at 298.15K. The standard cell potential is E°_{cell, eq} = 1.360V.

(a) Write the cell reaction and calculate its thermodynamic equilibrium constant at 298.15K.

(b) Use the cell measurement to calculate the mean ionic activity coef?cient of aqueous HCl at 298.15K and a molality of 0.500mol kg^-1.