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Question

Chemistry Question on Electrochemistry

For given cell, at T K
Pt | H2(g) | H+ || Fe3+ ; Fe2+ | Pt
( 1 bar ) ( 1 M )
Ecell = .712 V
E°cell = .770 V
if [Fe2+][Fe3+]\frac{[Fe^{2+}]}{[Fe^{3+}]} is t (2.303 RTF=.058)(\frac{2.303\ RT}{F}=.058)
then find (t5)(\frac{t}{5})

Answer

The correct answer is : 2
.712 = .770 - .0582log[Fe2+Fe3+]2\frac{.058}{2}\log[\frac{Fe^{2+}}{Fe^{3+}}]^2
-.058 = .-058 log[Fe2+][Fe3+]\log\frac{[Fe^{2+}]}{[Fe^{3+}]}
Fe2+Fe3+=10=t\frac{Fe^{2+}}{Fe^{3+}}=10=t
t5=2\frac{t}{5}=2