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No.

You won't have a potato anymore. But you won't have water anymore either.

You'll have a black hole.

Is potato-blackhole distinguishable from same mass water black-hole?

> Is potato-blackhole distinguishable from same mass water black-hole?

https://en.wikipedia.org/wiki/No-hair_theorem

We don't know if black holes have hair, so the answer to your question is "We don't know".

https://en.wikipedia.org/wiki/Black_hole_information_paradox

Yes. More precisely, given a positive value p > 0, you can choose a "w" such that adding w% of water dilutes it to p% potato.

Or another way - given you pour water in at any constant rate forever, given any p% you want to dilute to, there will be a point in time where that dilution level is exceeded, and will remain so for every point in time after that.

If the potato is sufficiently finely divided, and the volume of water is large enough, evetually all the potato will dissolve completely in the water, and there will be no solids left.