If the door has no hinges or knobs, then that means it I could either simply push it down and I could walk out, since there are no hinges holding it up, or that it is barred on the other side, which would hold it up and prevent me from opening it. After all in order for it to actually be a door and not simply part of the wall looking like a door, it would have to be its own entity sitting within a door shaped hole within the wall, just like all other doors are.
So my answer is this, if the door is not barred on the other side, I will simply push the door down and walk out.
However if it is in fact barred on the other side, then that means the glass vial is in fact my only option for leaving the room. I will pour the "solution" within the vial onto the lock I presume is keeping the box closed, allowing me access to the contents within the box which I also presume will be my means to escape.
If however the box does not have a lock or hinges for me to melt with the solution, then I will instead make an opening in the top of the box by pouring the solution onto the top edges very carefully so as to eat away at it until I can open it, thus allowing me into the box which I presume to hold my means to escape this room.
