I have spent the better part of the morning trying to find duplicates which incorporate both usages, and the only relevant posts that I see do not address the OP on both issues..
We have:
each/every
and
verb agreement with units
I cannot find an exact duplicate on EL&U.
However, both usages taken on their own are normally considered singular for verb agreement.
""Each/Every 5 ml of the solution contain..."
From MetaEd r.e. each/every
One is singular, so one of you is singular, so each and every one of you is singular.
From ect r.e. verb agreement with units
These constructions are called "mass nouns" (or something comparable). Although they refer to more than one thing (e.g., more than one milliliter of water), they treat these things as a single unit.
It should be:
Each/every 5 ml of the solution contains...
*Note that post "verb agreement with units" still does not have an accepted answer...