Calculate the equilibrium constant of the reaction
Cu(s)+2Ag+(aq)   Cu2+(aq) + 2Ag(s)
given : E0 =0.46 temperture 250

we have given that:
E° = + 0.46 V
E° =RTnFlnKlnK =nFE°RT

lnk =2 x96500 x0.46/0.059

K=antilognE°0.059
K=antilog2×0.460.059
K = antilog(15.5932)K = 3.92 × 1015.
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Determine the equilibrium constant of the reaction at 298 K.
2Fe3++Sn2+  2Fe2++Sn4+
From the obtained value of the equilibrium constant, predict whether Sn2+ ions can reduce Fe3+ to Fe2+ quantitatively or not.
E°Sn4+/Sn2+ = 0.15 V and E°Fe3+/Fe2+ = +0.77 V


The cell is
                 Pt(s)| Sn2+(aq)| Sn4+| (aq)|| Fe3+(aq) | Fe2+(aq)|Pt(s)
and                            E°cell = E°Fe3+/Fe - E°Sn4+/Sn2+           = + 0.77 - (+0.15) = +0.62 V
and                                n = 2
∴              K= antilognE°0.059 = antilog 2×0.620.059 = antilog (21.0169)
                                      K = 1.039 × 1021
As K is very high, the reaction is favoured in the forward direction, so, Sn2+ can easily reduce Fe3+ ion to Fe2+ ion.

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Represent the cell in which the following reaction takes place:
Mg(s) + 2Ag+ (0.0001 M) → Mg2+(0.130 m) + 2Ag(s)
Calculate its E(cell), if E°cell = 3.17 V.

The cell is
Mg(s) | Mg2+(aq) (0.130 M) || Ag+(aq) (0.0001 M) | Ag(s)
The Nernst equation is
E(cell) = E°cell-RT2FlnMg2+Ag+Ecell = 3.17 V - 0.059 Vnlog0.130(0.0001)2Ecell = 3.17 V - 0.059 Vn×7.114Ecell  = 3.17 V - 0.21 VEcell = +2.96 V.
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A solution of CuSO4 is electrolysed for 10 minutes with a current of 1.5 amperes. What is the mass of copper deposited at the cathode?

t = 600 s
Charge = current x time
= 1.5 A x 600s = 900 C
According to the reaction : Cu2+(aq) + 2e → Cu(s)
We require 2F or 2 x 96487 C to deposit 1 mol or 63 g of Cu
For 900 C, the mass of Cu deposited  = (63 g mol-1 × 900 C)2 × 96487 C mol-1 = 0.2938 g.

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A solution of CuSO4 is electrolysed for 10 minutes with a current of 1.5 amperes. What is the mass of copper deposited at the cathode? (at mass Cu = 63.5).

The cathode reaction is Cu2+ + 2e → Cu
I = 1.5 amperes, t = 10 x 60 = 600 s
∴ Q = It = 1.5 x 600 = 900 C
The reaction states that 2 x 96500 C are required to deposit 63.5 g Cu at cathode
  900 C will deposit 

63.5×9002×96500×900 = 0.296 g Cu cathode.

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