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Question:

If the standard electrode potential constant for a cell is 2V at 300K, the equilibrium constant (K) for the reaction: Zn(s) + Cu2+(aq)⇌Zn2+(aq) + Cu(s) at 300K is approximately. (R=8JK⁻¹mol⁻¹, F=96000Cmol⁻¹)

e160

e⁻⁶⁰

e320

e⁻¹⁶⁰

Solution:

ΔGo = -RTlnK = -nFEocell
lnK = n × F × Eo / R × T
= 2 × 96000 × 2 / 8 × 300
lnK = 160
K = e¹⁶⁰