Answer:
[tex]E_{cell}[/tex]= +ve, reaction is spontaneous
[tex]E_{cell}[/tex]= -ve, reaction is non spontaneous
[tex]E_{cell}[/tex]= 0, reaction is in equilibrium
Case 1: when copper metal is combined with aqueous zinc sulfate.
[tex]Cu+ZnSO_4\rightarrow Zn+CuSO_4[/tex]
Here copper is undergoing oxidation ad thus acts as anode and zinc is undergoing reduction , thus acts as cathode.
[tex]E^o_{cell}[/tex] = standard electrode potential =[tex]E^0_{cathode}- E^0_{anode}[/tex]
Where both [tex]E^0[/tex] are standard reduction potentials.
[tex]E^0_{[Cu^{2+}/Cu]}= +0.34V[/tex]
[tex]E^0_{[Zn^{2+}/Zn]}= -0.76V[/tex]
[tex]E^0=E^0_{[Zn^{2+}/Zn]}- E^0_{[Cu^{2+}/Cu]}[/tex]
[tex]E^0=-0.76-(+0.34)=-1.10V[/tex]
Thus as [tex]E_{cell}[/tex] is negative , the reaction is non spontaneous.
Case 2: when zinc metal and aqueous copper sulfate solution are combined.
[tex]Zn+CuSO_4\rightarrow Cu+ZnSO_4[/tex]
Here zinc is undergoing oxidation ad thus acts as anode and copper is undergoing reduction , thus acts as cathode.
[tex]E^o_{cell}[/tex] = standard electrode potential =[tex]E^0_{cathode}- E^0_{anode}[/tex]
Where both [tex]E^0[/tex] are standard reduction potentials.
[tex]E^0_{[Cu^{2+}/Cu]}= +0.34V[/tex]
[tex]E^0_{[Zn^{2+}/Zn]}= -0.76V[/tex]
[tex]E^0=E^0_{[Cu^{2+}/Cu]}- E^0_{[Zn^{2+}/Zn]}[/tex]
[tex]E^0=+0.34-(-0.76)=+1.10V[/tex]
Thus as [tex]E_{cell}[/tex] is positive , the reaction is spontaneous.