There are about 2.44*10^11 grams of gold in circulation. Let's say the LHC would need to produce 10% of that per year to "flood the market." With the current production rate of 10^-11 grams per year, we'd need 2.44*10^21 (2.44 sextillion) LHCs operating simultaneously to flood the gold market.
A single LHC weighs 3.6*10^9 grams, so 2.44 sextillion of them would weigh 8.8*10^31 grams, which is about 50 times the mass of the sun.
So in a way, all of those people who were concerned about the LHC creating a black hole would be right.
With this process we could produce about 65.4g of gold with the energy needed to boil the entire ocean once to full vaporization.
The Earth's oceans contain approximately 1.4 x 10^21 kilograms of water, which equals 1.4 x 10^24 grams. The average ocean temperature is about 3.5 degrees Celsius, and we need to heat it to the boiling point of seawater at approximately 100 degrees Celsius, for a temperature difference of 96.5 degrees Celsius. Seawater has a specific heat capacity of about 3.93 joules per gram per degree Celsius. To calculate the energy needed to raise the temperature, we multiply the mass by the specific heat capacity and the temperature difference: 1.4 x 10^24 grams x 3.93 joules per gram per degree Celsius x 96.5 degrees Celsius = 5.3 x 10^27 joules.
After reaching the boiling point, we need additional energy to vaporize the water. The heat of vaporization for water is approximately 2,260 joules per gram. Multiplying this by the ocean's mass gives us 1.4 x 10^24 grams x 2,260 joules per gram = 3.2 x 10^27 joules. Adding these two energy requirements together, we get 5.3 x 10^27 joules + 3.2 x 10^27 joules = 8.5 x 10^27 joules total to completely boil the ocean.
Now, for the LHC gold production calculation. The LHC produces gold at a rate of 10^-11 grams per year and consumes about 1.3 x 10^15 joules of energy annually. To produce 1 gram of gold would take 10^11 years of operation, requiring 1.3 x 10^15 joules per year x 10^11 years = 1.3 x 10^26 joules of energy. Comparing this to the energy needed to boil the ocean (8.5 x 10^27 joules), we calculate 1.3 x 10^26 joules divided by 8.5 x 10^27 joules = 0.0153. This means the energy needed to produce 1 gram of gold via the LHC would boil only about 1.53% of the ocean. Conversely, the energy required to boil the entire ocean once could produce approximately 65.4 grams of gold using the LHC process.
as I have thought with the other numerous "boiled earth" comparisons i've read in the past few weeks : who cares? In what case is this a useful way to describe something to anyone? since when does a laymen comprehend the size of the earth in any meaningful way?
aside : it's funny how many wordy multi-step unit conversion comparisons have flooded the discussion space post-LLM... I'm sure that's unrelated.
There are about 2.44*10^11 grams of gold in circulation. Let's say the LHC would need to produce 10% of that per year to "flood the market." With the current production rate of 10^-11 grams per year, we'd need 2.44*10^21 (2.44 sextillion) LHCs operating simultaneously to flood the gold market.
A single LHC weighs 3.6*10^9 grams, so 2.44 sextillion of them would weigh 8.8*10^31 grams, which is about 50 times the mass of the sun.
So in a way, all of those people who were concerned about the LHC creating a black hole would be right.
With this process we could produce about 65.4g of gold with the energy needed to boil the entire ocean once to full vaporization.
The Earth's oceans contain approximately 1.4 x 10^21 kilograms of water, which equals 1.4 x 10^24 grams. The average ocean temperature is about 3.5 degrees Celsius, and we need to heat it to the boiling point of seawater at approximately 100 degrees Celsius, for a temperature difference of 96.5 degrees Celsius. Seawater has a specific heat capacity of about 3.93 joules per gram per degree Celsius. To calculate the energy needed to raise the temperature, we multiply the mass by the specific heat capacity and the temperature difference: 1.4 x 10^24 grams x 3.93 joules per gram per degree Celsius x 96.5 degrees Celsius = 5.3 x 10^27 joules.
After reaching the boiling point, we need additional energy to vaporize the water. The heat of vaporization for water is approximately 2,260 joules per gram. Multiplying this by the ocean's mass gives us 1.4 x 10^24 grams x 2,260 joules per gram = 3.2 x 10^27 joules. Adding these two energy requirements together, we get 5.3 x 10^27 joules + 3.2 x 10^27 joules = 8.5 x 10^27 joules total to completely boil the ocean. Now, for the LHC gold production calculation. The LHC produces gold at a rate of 10^-11 grams per year and consumes about 1.3 x 10^15 joules of energy annually. To produce 1 gram of gold would take 10^11 years of operation, requiring 1.3 x 10^15 joules per year x 10^11 years = 1.3 x 10^26 joules of energy. Comparing this to the energy needed to boil the ocean (8.5 x 10^27 joules), we calculate 1.3 x 10^26 joules divided by 8.5 x 10^27 joules = 0.0153. This means the energy needed to produce 1 gram of gold via the LHC would boil only about 1.53% of the ocean. Conversely, the energy required to boil the entire ocean once could produce approximately 65.4 grams of gold using the LHC process.
How big of a burger could you sizzle with that energy?
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as I have thought with the other numerous "boiled earth" comparisons i've read in the past few weeks : who cares? In what case is this a useful way to describe something to anyone? since when does a laymen comprehend the size of the earth in any meaningful way?
aside : it's funny how many wordy multi-step unit conversion comparisons have flooded the discussion space post-LLM... I'm sure that's unrelated.
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Glad they didn't subscribe to "move fast, break things"..
With that kind of potential, you could get an OpenAI-sized valuation!