Question

In: Chemistry

Use cell potential to calculate an equilibrium constant. Calculate the cell potential and the equilibrium constant...

Use cell potential to calculate an equilibrium constant.

Calculate the cell potential and the equilibrium constant for the following reaction at 298 K:

Cu²⁺(aq) + Hg(l) = Cu(s) + Hg²⁺(aq)

Hint: Carry at least 5 significant figures during intermediate calculations to avoid round off error when taking the antilogarithm.

Equilibrium constant: -------

Expert Solution

Hg(l) ---------------> Hg^2+(aq) + 2e^- E0 = -0.85v

Cu^2+ (aq) + 2e^- ----------> Cu(s) E0 = 0.34v

-----------------------------------------------------------------------------

Cu²⁺(aq) + Hg(l) ---------> Cu(s) + Hg²⁺(aq) E0 cell = -0.51v

n = 2

G⁰ = -nEcell*F

= -2*-0.51*96500

= 98430J

G⁰ = -RTlnK

98430 = -8.314*298*2.303logK

logK = -98430/5705.8483

logK = -17.25

K = 10^-17.25 = 5.6234*10^-18 >>>>>>answer

queen_honey_blossom answered 2 years ago

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