An electrode is prepared from liquid mercury in contact with a saturated solution of mercury(I) chloride, Hg2Cl2, containing 1.00 M Cl-. The emf of the voltaic cell constructed by connecting this electrode as the cathode to the standard hydrogen half-cell as the anode is 0.268 V. What is the solubility product of mercury(I) chloride?
Will you please help me figure out this chemistry problem?
I find the following data from Wikipedia:
Hg2(2+)(aq) + 2e− → 2Hg(l), Eº = +0.80V
From:
E = 0.268 = Eº - RT/nF Ln Q
we have:
1/Q = [Hg2(2+)] = exp(-(Eº-E)nF/RT)
= exp(-0.532*2*96485/(8.314*298)) = 1.01x10^-18
Since [Cl-] = 1.00M, we have:
Ksp(Hg2Cl2) = [Hg2(2+)]*[Cl-]^2 = 1.01x10^-18
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