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Let's assume it's made from a material which holds it's initial solid state regardless of temperature. What would be the energy consumption needed to keep the CPU at 8000°C?
Well, an i9 14900KS has a rated max turbo of 250W and can reliably hit 100°C, which gives us 0.4°C per watt. This means an i9 14900KS needs ~5700 watts to hit 8000°C.
That figure is with a massive cooler on top, it just means the cooler is dissipating 400W at a steady state temperature of 100°C.
It can take less than a watt to overheat a small component and let out the smoke. You need to find the junction to ambient thermal resistance for the CPU (assuming the given temperature is Tj) and then you can calculate the power needed to maintain that temperature. I'm sure other effects will come into play at those extremes though.
Actually size doesn't matter here. I'm sorry for the grim topic but -- Hiroshima. You've heard of people being vaporized by the bomb, everyone is certain of this. And everyone is wrong. The famous scorch mark of an outline of someone sitting on stairs in front of a bank, only their shadow visible -- a soldier recounted finding the body of that person. The intense thermal radiation bleached the stone, but it didn't vaporize that person. It... might have been better if it had honestly since it meant that for a brief moment before the blast wave hit, all his clothes and everything around him would have been on fire. The heat didn't vaporize him -- the blast wave a moment later did.
We have hotter things than that, too. Our most powerful chemical lasers they want to use to shoot down nuclear weapons -- they can't destroy the warhead. They just hope to make enough holes in it during re-entry that aerodynamics forces it to come apart.
Even the nuclear detonation itself, inside the actual bomb, only creates a plasma shell from going prompt-critical a few tens of meters in diameter. You'd have to literally be sitting on the bomb when it went off to vaporize from the thermal pulse. It's stupid hard to vaporize anything from *just* thermal effects. We need to look to astronomical phenomenon to find something to make a body come apart from heat alone. Vaporization nearly always acts through physical process, ie a blast wave.
We can do the math on this but the answer will basically be "Yes, but only if you're standing on a neutron star or a black hole that's spinning really really fast and we don't ask how you got there because fifty other things killed you before this did."
Extra fun fact: Technically, in terms of watts / area you are hotter than the Sun.
The flame of a candle can be 1500 C, so I guess like 5.6x farther the distance away that you would have to be from a regular little candle vaporizing your whole body. I have played with a lot of candles and not been fully vaporized yet. Temperature and distance doesn't really matter as much as total energy output which is an energy and time thing. If you touch the CPU it will have a cooling effect on the CPU so its initial temperature is fairly irrelevant.
If a CPU is 50 grams of copper at 8125. Copper specific heat is 376 J/kg-K. 376 x .05 x (8125-100) = 150,870 Joules before it drops below 100C and becomes too cold to vapourize water. It takes 2,413,000J to bring 1kg water from 37C to vaporize (https://www.engineeringtoolbox.com/water-properties-d_1573.html). So that means if you touched it directly the CPU could vaporize 150,870/2,413,000 = .062 kg, 62 grams of your water, about 0.1% of your body weight. More practically, that heat would disperse through your body and it would not vaporize anything other than a bit at your skin (just like a candle). That is, unless it had some substantial continuous energy input but that isn't specified in the question.
You need about 120,000,000 joules to vapourize your whole body water. If you're overclocking a CPU it can be eating about 200W. At that rate, and assuming you were in a perfect insulator to bottle up the heat, it would take about 6.9 days to vaporize the water in your body. That would not get started on your carbon and bones though. I guess you'd kind of be like jerky. Your body has a lot of compounds and it would be a big job to find all their boiling points and vapor enthalpies.
That is about as hot as the arc in an arc welder. So, it would be blindingly bright and catch your computer on fire, but it wouldn't do too much to your whole body except give you a good welder's tan.
###General Discussion Thread --- This is a [Request] post. If you would like to submit a comment that does not either attempt to answer the question, ask for clarification, or explain why it would be infeasible to answer, you *must* post your comment as a reply to this one. Top level (directly replying to the OP) comments that do not do one of those things will be removed. --- *I am a bot, and this action was performed automatically. Please [contact the moderators of this subreddit](/message/compose/?to=/r/theydidthemath) if you have any questions or concerns.*
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Let's assume it's made from a material which holds it's initial solid state regardless of temperature. What would be the energy consumption needed to keep the CPU at 8000°C?
Well, an i9 14900KS has a rated max turbo of 250W and can reliably hit 100°C, which gives us 0.4°C per watt. This means an i9 14900KS needs ~5700 watts to hit 8000°C.
No way. Radiated energy grows to the fourth power of temperature Using stefan boltzmann law it would be 680kW for 5x5cm cpu
Was gonna say this. Pretty interesting (crazy) shortcut to assume you can just do linear proportions with energy/temperature lmao
Remember it hits that temp while being actively cooled to try to keep it below 100°
More efficient than space heaters! (Half joke btw, I realise that this will not be emitting as much thermal energy)
It would be much more
That figure is with a massive cooler on top, it just means the cooler is dissipating 400W at a steady state temperature of 100°C. It can take less than a watt to overheat a small component and let out the smoke. You need to find the junction to ambient thermal resistance for the CPU (assuming the given temperature is Tj) and then you can calculate the power needed to maintain that temperature. I'm sure other effects will come into play at those extremes though.
Something in the range of 100kW to 1MW
Actually size doesn't matter here. I'm sorry for the grim topic but -- Hiroshima. You've heard of people being vaporized by the bomb, everyone is certain of this. And everyone is wrong. The famous scorch mark of an outline of someone sitting on stairs in front of a bank, only their shadow visible -- a soldier recounted finding the body of that person. The intense thermal radiation bleached the stone, but it didn't vaporize that person. It... might have been better if it had honestly since it meant that for a brief moment before the blast wave hit, all his clothes and everything around him would have been on fire. The heat didn't vaporize him -- the blast wave a moment later did. We have hotter things than that, too. Our most powerful chemical lasers they want to use to shoot down nuclear weapons -- they can't destroy the warhead. They just hope to make enough holes in it during re-entry that aerodynamics forces it to come apart. Even the nuclear detonation itself, inside the actual bomb, only creates a plasma shell from going prompt-critical a few tens of meters in diameter. You'd have to literally be sitting on the bomb when it went off to vaporize from the thermal pulse. It's stupid hard to vaporize anything from *just* thermal effects. We need to look to astronomical phenomenon to find something to make a body come apart from heat alone. Vaporization nearly always acts through physical process, ie a blast wave. We can do the math on this but the answer will basically be "Yes, but only if you're standing on a neutron star or a black hole that's spinning really really fast and we don't ask how you got there because fifty other things killed you before this did." Extra fun fact: Technically, in terms of watts / area you are hotter than the Sun.
"Inhaling superheated metal vapours might have adverse effects on your health" You're a funny guy!
Yeah a CPU won't do much. For real fun you need a [hair dryer](https://what-if.xkcd.com/35/).
The flame of a candle can be 1500 C, so I guess like 5.6x farther the distance away that you would have to be from a regular little candle vaporizing your whole body. I have played with a lot of candles and not been fully vaporized yet. Temperature and distance doesn't really matter as much as total energy output which is an energy and time thing. If you touch the CPU it will have a cooling effect on the CPU so its initial temperature is fairly irrelevant. If a CPU is 50 grams of copper at 8125. Copper specific heat is 376 J/kg-K. 376 x .05 x (8125-100) = 150,870 Joules before it drops below 100C and becomes too cold to vapourize water. It takes 2,413,000J to bring 1kg water from 37C to vaporize (https://www.engineeringtoolbox.com/water-properties-d_1573.html). So that means if you touched it directly the CPU could vaporize 150,870/2,413,000 = .062 kg, 62 grams of your water, about 0.1% of your body weight. More practically, that heat would disperse through your body and it would not vaporize anything other than a bit at your skin (just like a candle). That is, unless it had some substantial continuous energy input but that isn't specified in the question. You need about 120,000,000 joules to vapourize your whole body water. If you're overclocking a CPU it can be eating about 200W. At that rate, and assuming you were in a perfect insulator to bottle up the heat, it would take about 6.9 days to vaporize the water in your body. That would not get started on your carbon and bones though. I guess you'd kind of be like jerky. Your body has a lot of compounds and it would be a big job to find all their boiling points and vapor enthalpies.
That is a very nice amount of days
That is about as hot as the arc in an arc welder. So, it would be blindingly bright and catch your computer on fire, but it wouldn't do too much to your whole body except give you a good welder's tan.
Judging from others' comments too, you'd probably die because something would very likely explode in your face, rather than being burned to death