Answer: The
is 0.63 V
Step-by-step explanation:
In the given reaction :
![Zn(s)+Pb^(2+)(aq)\rightarrow Zn^(2+)(aq)+Pb(s)](https://img.qammunity.org/2021/formulas/chemistry/high-school/st73mhk88qtgs2918hay7efv8njkq8olx4.png)
Here Zn undergoes oxidation by loss of electrons, thus act as anode. Lead undergoes reduction by gain of electrons and thus act as cathode.
![E^0_(cell)=E^0_(cathode)- E^0_(anode)](https://img.qammunity.org/2021/formulas/chemistry/high-school/kfhgs5b5u16szowrojuw96thyuwhhqb4qg.png)
Where both
are standard reduction potentials.
![E^0_([Pb^(2+)/Pb])= -0.13V](https://img.qammunity.org/2021/formulas/chemistry/high-school/unz0ouavml3f17wozshuzxsr9cqyl1eflb.png)
![E^0_([Zn^(2+)/Zn])=-0.76V](https://img.qammunity.org/2021/formulas/chemistry/high-school/olc4lf0brskzrvcslfp2n6xddpo3pietrg.png)
![E^0_(cell)=E^0_([Pb^(2+)/Pb])- E^0_([Zn^(2+)/Zn])](https://img.qammunity.org/2021/formulas/chemistry/high-school/bkwlhu70w76jmuwaleg599k30xfo9t02zt.png)
![E^0_(cell)=-0.13-(-0.76)=0.63V](https://img.qammunity.org/2021/formulas/chemistry/high-school/bsfv7xxexo2xys30mnaoc45oe948mhe851.png)
Thus the
is 0.63 V