What is the volume of one Alchemist's Fire?

After a heated argument about the size of a flask of alchemist's fire with my DM, we've reached the ruling that any and all alchemical splash weapons are one ounce vials because he's sure he read that somewhere.

Is he right? And if so, are there any places that mention this rule?

Good question!

Looking at Table 6-9 Goods and Services in the Core Rulebook we can see that:

• Flask (empty) weighs 1½ lbs.
• Oil (1 pint flask) weighs 1 lb.
• Acid (flask) weighs 1 lb.
• Alchemists fire (flask) weighs 1 lb.

The logical conclusion is that oil, acid and alchemists fire are all magically lighter than air and make a flask weigh 1/2 lb less than it would otherwise. (I say magically because 1 pint of hydrogen would not give 1/2 lb of buoyancy in air.)

The sensible conclusion is that there is a mistake in the weight of empty flasks. I would suggest working with the value for Oil given that it makes sense and we have both weight and volume - while we do not know the details of "oil" in Pathfinder, a density of 0.8-0.9 is a reasonable assumption. So 1 pint of oil weighs about 0.85 lb and the flask weighs 0.15 lb. This also suggests that the error in the weight of an empty flask is due to a misplaced zero - it has been recorded as 1.5 lb instead of 0.15 lb.

Assume that the same flasks are used for alchemists fire and acid it means that you are delivering about 0.85 lb (13.6 oz) of those substances in each 1 lb flask.

I think that the GM may be conflating the alchemist's fire (flask) with a magic potion's Physical Description that, in part, says, "A typical potion or oil consists of 1 ounce of liquid held in a ceramic or glass vial fitted with a tight stopper. The stoppered container is usually no more than 1 inch wide and 2 inches high." The typical vial for ink and potions, by the way, has negligible weight. Potions, it should also be noted, typically have no relationship to items created using the skill Craft (alchemy).

And with this in mind it becomes possible for a GM to go to the extreme edge of all these rules and say that an alchemist's fire (flask) is a 4-ft.-tall flask that weighs 15 oz. and that contains "a mix of several volatile liquids that ignite when exposed to air" that weighs but 1 oz. This player—who, to be fair, is not well-versed in fluid mechanics, glassblowing, nor alchemy—wouldn't flip the table and storm out of the campaign of a GM who made such a ruling, but this player would find such a ruling severely stretching his limited imagination—especially if his PC had been until this point—somehow!—carrying on his person and within easy reach 10 or so of these unwieldy-yet-still-1-lb. flasks of alchemist's fire. (Although not within so easy reach as to be able to be drawn quickly… sigh.) Further, bear in mind that cumbersome flasks like these would be, for example, (ahem) largely impossible to conceal using the skill Sleight of Hand as the GM's ruled they're Small objects.

All that said, because this player and GM isn't a scientist, he has always imagined—and played—that the alchemist's fire (flask) and similar items are closest to a hip flask (rather than, for example, a laboratory flask), and those—Amazon.com tells me—tend to average a capacity of 8 oz., making it so that—in this GM's settings, anyway—the typical 1-lb. flask weighs 0.5 lbs. and its contents 0.5 lbs. (Of course, that ruling's not because that's an accurate assessment of the weight/volume mismatch that's occurring here but because that ruling's playable and convenient; likewise, this convenience extends to matching the official statistics of the hip flask rather than the more massive 3-cp, 1.5-lbs.-when-it's-empty, full-on I-don't-even flask (empty) that Pathfinder inherited from D&D 3.5e that I imagine is about as subtle as this.)

However, unless the argument is really about whether or not an alchemist's fire (flask) can be hidden using the skill Sleight of Hand, according to the rules, the alchemist's fire (flask) always breaks when deliberately thrown, never breaks when it's not deliberately thrown, and can't be opened without its contents igniting in contact with the air. Thus, unless the GM rules otherwise (or PCs concoct a dangerously wacky plan!), the contents of an alchemist's fire (flask) can't be, like, decanted into a barrel suitable for use as special siege weapon ammunition (such ammunition must be specially made) or for rolling at enemies or to decorate a secret base in hopes that errant attacks from firearms against them will kill intruders, so determining its volume is typically unnecessary.

• Your sigh might instead link to the Q&A we have on the subject, which might help put the sigh in context. – KRyan May 15 at 14:54

There is no "standard" alchemical flask

There are multiple flasks and containers in the book. To name a few:

• Bottle, price 2 GP, weight 1 lb, holds a pint. Its a glass bottle with a cork;
• Flask, price 3 CP, weight 1.5 lbs, holds 1 pint. It's basically a small glass bottle;
• Hip Flask, price 1 GP, weight 0.5 lbs, holds 8 ounces. It's basically a metal canteen;
• Flask Holy Symbol, price +10 GP (on top of the standard holy symbol, which goes from 1-500 GP), weight - (no weight, or same as holy symbol of 1 lb), also holds 1 pint. It's an oversized holy symbol that has a watertight compartment and doesn't break when thrown, so you have to pour the contents;
• Ink, price 8 GP, weight -. It's a small vial that holds 1 ounce of ink;
• Oil, prince 1 SP, weight 1 lb. It's a small glass flask that holds 1 pint of oil that can be used as a splash weapon;
• Vial, price 1 GP, weight -. It's a vial made of glass or steel that holds 1 ounce of liquid.

Now, considering the pictures of the alchemical items presented on the core rulebook, ultimate equipment, and alchemy manual. None of those flasks are actually even similar in appearance to the images of the flasks I listed above (exception to the Bottle and Vial, which I found no images). They all look different in shape and form that they are closed. And those are also different from the random potions/oils presented on ultimate equipment (pg 370), some look like bottles, others like vials, and others like flasks.

As shown on this fine answer by @HeyICanChan, the standard potion flask was removed from Pathfinder, so it has no emptied-weight and can't be bought separately, so you could assume it's part of the material costs required to create a potion. This same ruling could be applied to alchemical items, as none of them mentions anything about requiring a specific empty flask from the equipment list.

The closest possibility would be the simple Vial, which costs 1 GP and has no weight, but can hold an ounce of any liquid (even though some alchemical items are oils, or even have a solid form). But as you can see, they are all different in form, shape, capacity, and price, so you will have to check the weight of the alchemical item and come up with a proper weight for the container.