Is this analogy of the electrodes in a battery right?

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In a zinc / copper danielle cell could we say that the Zinc electrode is like a glass of water (water molecules are electrons) The full glass of water reprenst the charge of the zinc electrode and when you try to fill it with more water it overflows (electrons leave the zinc electrode)
 
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You would need to provide an equivalent analogy for the other electrode. I can’t think of one that follows quite as nicely as for the zinc.
You would perhaps add a pump and a control valve which allows an electron in at the bottom for every one that leaves the top, perhaps according to the pressure inside.
 
I meant do the zinc hold a certain amount of electrons to become negatively charged
When we learned about redox reactions they say that zinc gives electrons instantly as it becomes zn2+ thus the zinc is never negatively charged