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[-] osbo9991@lemmy.world 52 points 1 day ago* (last edited 1 day ago)

Let's assume Costco size hot dogs (1/4 lb, or 0.11 kg), with an internal temp increase from fridge temperatures (37 F, or 276 K) to 165 F (347 K). Let's also assume the heat capacity of the hot dog is about 3000 J/kg*K. To heat up a single hot dog takes this much energy:

q=mc*deltaT => q=(0.11 kg)*(3000 J/kg*K)*(347K-276K)=23,430 J of energy.

The heat capacity here is 9GW. That is 9 gigajoules of energy per second, or 9 billion joules every second. Divide this by the number of joules to cook each hot dog gets us the number of hot dogs that could be cooked every second:

9,000,000,000/23,430=384,123 hot dogs/second

With this hot dogs per second figure, we can find how long this energy source would take to feed the entire US population a Costco hot dog.

342,000,000 people/384,123 hot dogs per sec=890 seconds

Converting this to minutes:

890/60=14.8 minutes

So, this source of energy could feed the entire population of the US a Costco hot dog in less than 15 minutes if properly harnessed.

[-] sparkyshocks@lemmy.zip 1 points 5 hours ago

Let's also assume the heat capacity of the hot dog is about 3000 J/kg*K

So the specific heat of water at those temperatures is 4184 J/kg K, and those food court hot dogs are probably about the same as Kirkland dinner franks, which have about 73g of water, 31 g of fat (specific heat of about 2300 J/ kg K), 16g of protein (1500 J/kg K), and 3g of sugars/carbs (1200 J/kg K), and let's say negligible ash, so we're left with a weighted average of about 3280 J/kg K.

That's within 10% of your assumed value, so I think I just wasted my time trying to check your assumption, which was pretty close to my number that took a lot more work.

[-] Elshender@sh.itjust.works 24 points 1 day ago

Finally someone speaking english.

[-] Baggie@lemmy.zip 22 points 1 day ago

The math you just did terrifies me and I have no way of verifying it, so I'll just say good job and leave it at that.

[-] eatCasserole@lemmy.world 12 points 1 day ago

I think it's also important to have a hotdogs per day figure, and the math from here is super simple, so I can do it.

384,1236060*24 = 33,188,227,200 hot dogs per day.

[-] BarneyPiccolo@lemmy.cafe 6 points 1 day ago

Well, there you go, free lunch for every schoolkid. Silver lining.

[-] OldManWithACane@lemmy.zip 2 points 22 hours ago

So if she weighs the same as a duck.... then she's made of wood...

and therefore...

A WITCH!! BURN HER!!

this post was submitted on 10 May 2026
786 points (98.5% liked)

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