Assuming best case (cracked from the top), air will rush in at the velocity dictated by gravity and the mass of the air column directly above it. It would be extremely forceful; the vial, bottle, cup, etc. may not survive the experience. You can create a similar effect with nearly full beer bottles and a good whack – look for videos about cavitation or the "water hammer" effect. XKCD also addressed a similar question in an old "What If?" article, which you may find enlightening and amusing.
dwkindig t1_ja60yzz wrote
Reply to How fast is air? by DumpTrumpGrump
Assuming best case (cracked from the top), air will rush in at the velocity dictated by gravity and the mass of the air column directly above it. It would be extremely forceful; the vial, bottle, cup, etc. may not survive the experience. You can create a similar effect with nearly full beer bottles and a good whack – look for videos about cavitation or the "water hammer" effect. XKCD also addressed a similar question in an old "What If?" article, which you may find enlightening and amusing.