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GO£D-Science Theory

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illager's Avatar illager
Level 57 : Grandmaster Meme
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I wonder how many blogs I can make about gold before you guys stop caring? Let’s test that shall we? This is the 3rd, and I've many more planned, heres a few:

To kill a Goldenbird-Lore Theory
The Calories In Golden Apples-Science Theory
Steve And The Midas Touch-Lore Theory
The Golden Illagers-Lore Theory
The Golden Soul; Totem Of Undying-Lore Theory
Jason; Minecraft's Real Hero-Lore Theory
The Gilded Piglins-Lore Theory
The Golden Potion-Science Theory

How expensive is a full set of gold armour in Minecraft? Matpat already did this theory, and while my original plan was to find the cost of a diamond set of armour, I decided to instead try to figure out how expensive gold could be just to shake things up…


This is really just as simple as copy/pasting MatPats video, but that seems unfair, so I’m going to tryyyy and make it a bit different.


Assuming that the crafting recipe is accurate and portrays the true recipe for armour, we can find that one full set costs 24 ingots. If 9 ingots is equal to a full cubic metre of gold we can say 2 things:


1) Gold blocks are not at all dense

2) An ingot is equal to 0.111 blocks, or 1/9 .


Now, a full set of armour only takes 24 ingots to craft, and while that’s all well and good, it makes for a boring blog. So let's spice it up, and add in the tools as well! The hoe, shovel, axe, pickaxe and sword add on another 11 ingots to our original number, which equals 35.


Now, let's remember that 9 ingots is one full block. 35/9=3.889 .


I’m a fan of rounding, and would love to say that it’s a clean 4 blocks, but that’d be inaccurate. The entire purpose of these blogs is to be accurate, and maybe teach you a thing or 2 about maths in the process. Another neat little nuisance is density. Remember when I said there wouldn't be much density to a block of gold (you should, I only wrote it a minute ago)? Gold will be worth more or less depending on how much is up for sale, and while we know there is 1m^3 up for grabs, we don’t know the actual amount up for grabs, just the volume.


I’ve mentioned in my other blog about gold (to be fair, I’ve made quite a few) that density is found using the formula D=MVo , where D is density, Vo is volume and M is mass. We know the volume of gold, sitting at 1m^3 , or 100cm^3 , yet we struggle to find its mass. Alright, mass is found using one of several formulæ, including P=MV , and F=AcM , however, we don’t know enough about the gold block to solve any of these. Instead we can try something else… something obscure…





Smelting. Gold must be smelted. It has been that way ever since the 1.0 update, where gold ore blocks needed to be smelted (smolten?) before use, and recently in the 1.17 update it was made that raw gold must be smelted before use. But what if we figure out the melting point for gold and try to determine how much gold really is there? Gold will melt faster if there is less of it, and it is surprising how accurate some of the predictions are from real scientists.


Although solid normally (at 20°C), gold can be made molten when subject to heat. In gold’s case it must be made to be 1062.2°C hot before melting. A standard furnace in Minecraft can smelt 1 item every 10 real life seconds.


Next comes the hard part… How hot is a furnace? I’m using a standard furnace, not a blast furnace because I like nostalgia. It is safe to say that just like in real life a furnace needs time to warm up. The furnace isn’t just 1062.2°C instantly! Also, for the sake of this test I am assuming that the gold is pure 18 carat–there is no grime causing inaccurate results.


In order to find out how fast a furnace heats up, we can use pork for reference. It is suggested to cook pork (in real life) for 17 minutes per kilogram of meat. Assuming a furnace does this, we can figure out how to make 17 minutes be 10 seconds and manipulate 1 kilogram by that same number…


“Why must I bake the cookies for 10 minutes at 200°C , when I could bake 1 minute at

2000°C ?” -a quote from Reddit.


17 minutes is equal to 1020 seconds. To make our 1020 be 10 however, we need to divide by 102, and to even out the equation we must then multiply 1 kilogram by 102.


Obviously 1⋅102=102 .


Now we really just need to do the same with gold, saying it is “cooked” at 1062.2°C for 10 seconds, or 10622°C for 1 second. And the room temperature is 20°C .


I've mentioned before that the way we find heat is using the formula Q=MQs∆t . We are able to arrange rearrange that to help us find mass:


Filling in the equation, we find that a gold ingot has a mass of 79.388 kilograms per every 0.111 metres squared!!


Then we are able to fill in the equation for density, and we get a density of 0.008kg/m^3 . This isn’t very much, as I predicted, and it will heavily impact the amount the armour sells for.


0.008 kilograms will only sell for about £61,230 , though this amount fluctuates daily. If 1 block costs that much, and there are a total of 3.889 blocks, we can multiply 61,230 by 3.889 and get a cost for a whole set.


16230⋅3.889=63118.470

For my other readers, who don't use British Pounds:

£63,118 (British Pounds)
$78,083 (United States Dollars)
€73,267 (European Union Euros)
$121,641 (Australian Dollars)
¥565,374 (Chinese Yuan)
$2,996,836 (Uruguayan Pesos)
฿1.2 (Bitcoin)
$1,333,815 (Mexican Pesos)


This means that a full set of golden armour, gilded to perfection by Hell’s Piglins costs only £60,000 . Frankly that’s kinda cheap, and I’m guessing that it would’ve been more if the gold had actually been densely packed, not just volume-ey.


Anyway, I hope you enjoyed reading this. This one took longer to make, and it was quite hard working on all the maths. I hope you come back and read my others, but until then, KEEP ON LOOOOOORING! S’ya nexttime!
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2
04/21/2024 2:37 am
Level 36 : Artisan Miner
ScotsMiser
ScotsMiser's Avatar
RAther an interesting excursion into the dangers of inferential logic (the attempt to derive the density of gold from its fantasy smelt time)


Simply looking up the density of pure (24k) gold gives a vastly different answer … [19.32 g/cc]


Reposting from my reply to the wall post:
My calcs
------------------------------------------------------------------------------------
Current conversions show 1.2 bitcoins = 77827.35
with Au @ 2405.10 USD that would be only ~32.36 oz t. (or 1009.9 g)

Taking a gold block at 1 cubic meter (1,000,000 cc) a single gold ingot would be ~111111.11 cc
at 19.32 g/cc a single ingot should mass 2146666 g or 2146-2/3 kilos or 69,017 oz t. (treating 1oz t as 31.10348g)

At 24 ingots for a full suit, one would need 1,656,408 oz t. for a full set of gold armour.
[Steve and Alex are both superhumanly strong 🤣 ]
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