Answer:
= +ve, reaction is spontaneous
= -ve, reaction is non spontaneous
= 0, reaction is in equilibrium
Case 1: when copper metal is combined with aqueous zinc sulfate.
![Cu+ZnSO_4\rightarrow Zn+CuSO_4](https://tex.z-dn.net/?f=Cu%2BZnSO_4%5Crightarrow%20Zn%2BCuSO_4)
Here copper is undergoing oxidation ad thus acts as anode and zinc is undergoing reduction , thus acts as cathode.
= standard electrode potential =![E^0_{cathode}- E^0_{anode}](https://tex.z-dn.net/?f=E%5E0_%7Bcathode%7D-%20E%5E0_%7Banode%7D)
Where both
are standard reduction potentials.
![E^0_{[Cu^{2+}/Cu]}= +0.34V](https://tex.z-dn.net/?f=E%5E0_%7B%5BCu%5E%7B2%2B%7D%2FCu%5D%7D%3D%20%2B0.34V)
![E^0_{[Zn^{2+}/Zn]}= -0.76V](https://tex.z-dn.net/?f=E%5E0_%7B%5BZn%5E%7B2%2B%7D%2FZn%5D%7D%3D%20-0.76V)
![E^0=E^0_{[Zn^{2+}/Zn]}- E^0_{[Cu^{2+}/Cu]}](https://tex.z-dn.net/?f=E%5E0%3DE%5E0_%7B%5BZn%5E%7B2%2B%7D%2FZn%5D%7D-%20E%5E0_%7B%5BCu%5E%7B2%2B%7D%2FCu%5D%7D)
![E^0=-0.76-(+0.34)=-1.10V](https://tex.z-dn.net/?f=E%5E0%3D-0.76-%28%2B0.34%29%3D-1.10V)
Thus as
is negative , the reaction is non spontaneous.
Case 2: when zinc metal and aqueous copper sulfate solution are combined.
![Zn+CuSO_4\rightarrow Cu+ZnSO_4](https://tex.z-dn.net/?f=Zn%2BCuSO_4%5Crightarrow%20Cu%2BZnSO_4)
Here zinc is undergoing oxidation ad thus acts as anode and copper is undergoing reduction , thus acts as cathode.
= standard electrode potential =![E^0_{cathode}- E^0_{anode}](https://tex.z-dn.net/?f=E%5E0_%7Bcathode%7D-%20E%5E0_%7Banode%7D)
Where both
are standard reduction potentials.
![E^0_{[Cu^{2+}/Cu]}= +0.34V](https://tex.z-dn.net/?f=E%5E0_%7B%5BCu%5E%7B2%2B%7D%2FCu%5D%7D%3D%20%2B0.34V)
![E^0_{[Zn^{2+}/Zn]}= -0.76V](https://tex.z-dn.net/?f=E%5E0_%7B%5BZn%5E%7B2%2B%7D%2FZn%5D%7D%3D%20-0.76V)
![E^0=E^0_{[Cu^{2+}/Cu]}- E^0_{[Zn^{2+}/Zn]}](https://tex.z-dn.net/?f=E%5E0%3DE%5E0_%7B%5BCu%5E%7B2%2B%7D%2FCu%5D%7D-%20E%5E0_%7B%5BZn%5E%7B2%2B%7D%2FZn%5D%7D)
![E^0=+0.34-(-0.76)=+1.10V](https://tex.z-dn.net/?f=E%5E0%3D%2B0.34-%28-0.76%29%3D%2B1.10V)
Thus as
is positive , the reaction is spontaneous.