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Similarities:
- Both are used to convert chemical energy into electrical energy
-The more reactive metal becomes the negative electrode and the least reactive one becomes the positive electrode
- Both converts chemical energy into electrical energy by using oxidation-reduction reactions.

Differences:
- An electrolytic cell needs to be connected by a salt bridge and it is separated by 2 containers.
- An electrolytic cell needs 2 different acids while a simple cell only needs one.
- Electrolytic cell needs 2 different acids that contain the metal of the electrode in it while the simple cell does not require it to have the same metal as the electrode

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Images: Google
Information: Brain

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At the cathode: Oxidation occurs, the zinc increases in oxidation number

At the anode: reduction occurs, the hydrogen decreases in oxidation number

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At the cathode (zinc electrode):
Zn(s) -> Zn 2+(aq)  + 2e-

At the anode (cooper electrode):
2H+(aq) +2e- -> H2 (g)

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At the cathode: Oxidation occurs, the zinc increases in oxidation number.

At the anode: reduction occurs, the copper decreases in oxidation number

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At the cathode:
Zn(s) -> Zn 2+(aq)  +  2e-

At the anode:
Cu 2+(aq) + 2e- -> Cu(s)