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Question: The half cell reactions with their appropriate standard reduction potentials are (i) \(Pb^{2 +} + 2...

The half cell reactions with their appropriate standard reduction potentials are

(i) Pb2++2ePb;(Eº=0.13V)Pb^{2 +} + 2e^{-} \rightarrow Pb;(Eº = - 0.13V)

(ii) Ag++eAg;(Eº=+0.80V)Ag^{+} + e^{-} \rightarrow Ag;(Eº = + 0.80V)

Based on the above data, which of the following reactions will take place?

A

Pb2++2Ag2Ag++PbPb^{2 +} + 2Ag \rightarrow 2Ag^{+} + Pb

B

2Ag+Pb2Ag++Pb2+2Ag + Pb \rightarrow 2Ag^{+} + Pb^{2 +}

C

2Ag++PbPb2++2Ag2Ag^{+} + Pb \rightarrow Pb^{2 +} + 2Ag

D

Pb2++2Ag+Pb+AgPb^{2 +} + 2Ag^{+} \rightarrow Pb + Ag

Answer

2Ag++PbPb2++2Ag2Ag^{+} + Pb \rightarrow Pb^{2 +} + 2Ag

Explanation

Solution

At cathode: Ag++eAg;Eº=+0.80VAg^{+} + e^{-} \rightarrow Ag;Eº = + 0.80V

At anode: PbPb2++2e;Eº=+0.13VPb \rightarrow Pb^{2 +} + 2e^{-};Eº = + 0.13V

Eºcell=EcathodeEanode=0.800.13=0.67VEº_{cell} = E_{cathode} - E_{anode} = 0.80 - 0.13 = 0.67V

Hence the reaction will be

2Ag+PbPb2++2Ag2Ag^{+}Pb \rightarrow Pb^{2 +} + 2Ag