Calculate the standard cell potential at 25 ∘C for the reaction X(s)+2Y+(aq)→X2+(aq)+2Y(s) where ΔH∘ = -923 kJ and ΔS∘ = -257 J/K . Express your answer to three significant figures and include the appropriate units.
ΔHo = -923.0 KJ/mol
ΔSo = -257 J/mol.K
= -0.257 KJ/mol.K
T= 25.0 oC
= (25.0+273) K
= 298 K
use:
ΔGo = ΔHo - T*ΔSo
ΔGo = -923.0 - 298.0 * -0.257
ΔGo = -846.414 KJ/mol
Here number of electrons being transferred = 2
ΔGo = -846.414 KJ/mol
ΔGo = -846414 J/mol
F = 96500 C
use:
ΔGo = -n*F*E
-846414= -2*96500*E
E = 4.3856 V
Answer: 4.39 V
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