How much metal? how much power

[The Grand Jesk]

Ok, we know that furochemichal stores will fill up as traits are stored in them, but do we know how much can be stored in one like how much speed will I get if I completely fill up a 1oz ring?

 

Also with alomancy if I eat a 1oz bead of metal how long would it burn?

[#1 Taln Fan he/him]

1 hour ago, The Grand Jesk said:

Ok, we know that furochemichal stores will fill up as traits are stored in them, but do we know how much can be stored in one like how much speed will I get if I completely fill up a 1oz ring?

 

Also with alomancy if I eat a 1oz bead of metal how long would it burn?

Just a heads up, the Arcanum forum is for discussing the Arcanum website, not for general Cosmere discussion/questions. I've moved this topic to the Mistborn forum for you. 
I don't believe we currently have exact info on how much metal = how much power you get out. However, we might get more specific numbers when the Mistborn RPG comes out next year. 

[Treamayne]

4 hours ago, The Grand Jesk said:

Ok, we know that furochemichal stores will fill up as traits are stored in them, but do we know how much can be stored in one like how much speed will I get if I completely fill up a 1oz ring?

 

Also with alomancy if I eat a 1oz bead of metal how long would it burn?

 

2 hours ago, #1 Taln Fan said:

I don't believe we currently have exact info on how much metal = how much power you get out. However, we might get more specific numbers when the Mistborn RPG comes out next year. 

We do not have hard numbers yet, but there are other factors than just the metal quantity as well (efficiency, experience, etc.). 
These are the WoBs I could find, based on current data:

Spoiler

Quote

Questioner

I was wondering if the size of a piece of metal determines the amount of Feruchemical charge that can be stored in it.

Brandon Sanderson

Yes.

Questioner

So how does that scale, like, in terms of the volume or mass of the metal or...

Brandon Sanderson

It-- So I've talked about this before, I'm trying to remember exactly what I've told people-- It does not scale as logically as you think it does. How about that? It's more like certain thresholds. You can have a-- You can store a Hemalurgic or Feruchemical charge even in very small pieces of metal, but larger pieces of metal will let you get more.

Questioner

So it's kind of like there are different classes of sizes?

Brandon Sanderson

Yeah, kind of like that.

JordanCon 2016 (April 23, 2016)

Quote

Questioner

With a cadmium or bendalloy savant, would they be able to impact the amount of time that they can compress or expand?

Brandon Sanderson

Oh, yeah, yeah, yeah.

Questioner

So they could fit-- Theoretically they could make-- fit more time into the same amount of metal.

Brandon Sanderson

Oh, that's what you're asking. Yeee-- *pauses* So, yes, technically, because... Yes, but mostly what that's going to do is going to influence your strength and how much you can multiply--

Questioner

The size of the bubble?

Brandon Sanderson

The size of the bubble and the amount of time, like when you flare, you are pressing more time into it and a savant is gonna get really good at that. They're gonna get good at changing the bubble and the shape of the bubble, they're gonna get good at some of the other things involving the bubble. It does technically, as you become a savant, does mean you're able to squeeze a little bit more out of your metal, because that's just how it works, but that's not the main effect.

Skyward San Francisco signing (Nov. 8, 2018)

Quote

Emerald101

I was wondering if there is a unit of Investiture, like maybe something Khriss uses.

Brandon Sanderson

Yes, but I haven't canonized it yet. Good question. I will eventually canonize it, because I think that people will want it, but I probably won't do so 'til [Mistborn] Era 3, because I want the scientific way of talking about the cosmere to mirror how developed the cultures are, but some of the scholars are beyond where everyone else is. It can be measured. There is a unit.

Emerald101

Like, maybe grams of solid Investiture?

Brandon Sanderson

It will probably be an in-world unit of measurement.<Non-Mistborn Spoilers Redacted>

Arcanum Unbounded release party (Nov. 22, 2016)

Finally, the WoB that his team is working on formal numbers (Roshar References):

Spoiler

Questioner

How much have you thought about the mathematical relationship between Investiture and energy/matter? Is there a cosmere E=mc^2?

Brandon Sanderson

I've thought about the concepts a lot. The numbers, I actually tried to get some mathematicians... There are some lovely folks, I'm like, can we come up with a standardization? And it kind of broke their brains, not because they aren't smart people, they're very smart people, but they're like, "Brandon, where do we even start? How much energy is being expended?" and this sort of thing. I would like to get a unit of measurement, how much Investiture equals how much energy, but at the same time, the work being done by the various magic systems, it's going to be too constrictive to put too much math on that, I feel like. I would like to. It is a much bigger project than you might imagine it being. How much energy is stored in a sphere? That's kind of where we started. A sphere stores Investiture, obviously some of that Investiture is being lost as energy, it is transferring energy as the sphere releases light. That is happening automatically, it's decaying and radiation is happening. How much is it therefore losing, how much could it do, how much of that can be transferred to doing work with a Lashing... All of this stuff, I have thought about way too much, and we have no answers for you yet because it is a really big project. Maybe we will someday, or maybe we'll just say, this is too big a project to even be able to mathematically quantify. I'm sure if you have suggestions, you can post thoughts on the subreddits, and perhaps that will get to the various arcanists who are helping me with this.

YouTube Spoiler Stream 4 (June 16, 2022)

 

Hope that helps

[Duxredux he/him]

Just checking, are you looking at total power or burn rate? They discuss which metals burn fastest in the first Mistborn book. Burn rate is a separate but related metric to power available per ounce of metal. My assumption is that in each case, the amount of metal burned per second is tied to the "work" done by the metal. If we look at the various burn rates of metals as discussed in TFE, Pewter is one of the fastest burning metals whereas Tin and Copper are some of the slowest burning metals. Steel and Iron burn quite quickly but it doesn't seem like it because the Allomancer generally uses those abilities in short bursts. Enhancing eyesight logically would take less power than strengthening the entire body or throwing objects around with Steelpushes. When looking at powering abilities with pure Investiture like the jar of unkeyed Dor used in TLM, this seems logical to me. Burn rates and utilization have already been discussed, to an extent in the books, but not with hard metrics - Brandon got away with by talking about beads or vials, never giving more precise units.

How much power is within each ounce of metal might also depend on which direction Brandon wants to go. He could decide that gram for gram each non-godmetal gives the same amount of power as it operates as a "catalyst" (which always feels like an improper term since it's consumed, but that's how Brandon describes it) to draw Preservation's power from the Spiritual Realm. The power isn't in the metal for Allomancy, save for intrinsically Invested metals like Atium. Alternatively, Brandon could go for molar mass with the power gained be directly tied to the atom count. A mol of Iron and a mol of Tin might give the same amount of power, in which case one gram of Iron will give more power than one gram of Tin. That said, because the ability tied to Iron does more work at a normal burn, Iron will burn through that power faster. It could be a third option that I haven't thought of, but this concept has a parallel to realworld energy storage with batteries, with lithium-ion being the most energy dense battery format we have.

My assumption is the same concept applies to Feruchemy. Storage time and difficulty varies by attribute, and abilities like Speed and Health likely have higher power requirements to get the desired effect - though opportunity cost certainly comes into play. Wax can afford to walk around at 30% weight casually but Wayne could hardly do the same when storing health. Some attributes are just hard to store because of safety restrictions, like strength, health, or age.