Respuesta :
Answer:
Part:A
The [tex]E_{cell}[/tex] of the reaction is +0.50V
Part-B:
a) [tex]E_{cell}^{o}[/tex] of the reaction is -1.61 V.
b) [tex]E_{cell}^{o}[/tex] of the reaction is +0.27 V.
Part-C:
"K" of the oxidation reaction is [tex]5.43\times10^{4}[/tex].
Explanation:
Part:A
The given chemical reaction is as follows.
[tex]3Ni^{2+}+2Cr\rightarrow 3Ni+2Cr^{3+}[/tex]
Reduction half reaction:
At cathode:
[tex]Ni^{2+}+2e^{-}\rightarrow Ni[/tex]
Oxidation half reaction;
At anode:
[tex]Cr \rightarrow Cr^{3+}+3e^{-}[/tex]
[tex]E_{cell}=E_{cathode}-E_{anode}[/tex]
[tex]=-0.23-(-0.73)=+0.50V[/tex]
Part-B:
a)
The given chemical reaction is as follows.
[tex]Zn+Mg^{2+} \rightarrow Zn^{2+}+Mg[/tex]
[tex]E_{cell}=E_{cathode}-E_{anode}[/tex]
[tex]=-2.37-(-0.76)=-1.61V(Non\,spontaneous)[/tex]
b)
The given chemical reaction is as follows.
[tex]Cd+Pb^{2+} \rightarrow Cd^{2+}+Pb[/tex]
[tex]E_{cell}=E_{cathode}-E_{anode}[/tex]
[tex]=-0.13-(-0.40)=+0.27V(spontaneous)[/tex]
Part-C;
The given chemical reaction is as follows.
[tex]Sn+H^{+} \rightarrow Sn^{2+}+H_{2}[/tex]
Oxidation half reaction;
At anode:
[tex]Sn \rightarrow Sn^{2+}+2e^{-}[/tex]
Reduction half reaction;
At cathode:
[tex]2H^{+}+2e^{-}\rightarrow H_{2}[/tex]
[tex]E_{cell}=E_{cathode}-E_{anode}[/tex]
[tex]=0-(-0.14)=+0.14V[/tex]
[tex]-RTlnK= -nFE_{cell}^{o}[/tex]
[tex]-2.303\times 8.314\times298\,logK= -2\times 96487\times 0.14[/tex]
logK = 4.737
[tex]K=5.43\times 10^{4}[/tex]