16 – Candy-Fueled Warmth: Is Elin’s Heating Machine the Future?

Author of this question: Antonio Visioli, Dipartimento di Ingegneria Meccanica e Industriale, Università degli Studi di Brescia, Italy

Elf Elin found herself in quite the predicament – an unusual one, indeed! For some reason, she was always chilly, which was strange for an elf who usually thrived in the crisp, cold air of the North Pole. Determined to fix this frosty problem, Elin set her sights on revamping the heating system of Santa’s cozy house, where she lived too.

With a sparkle of excitement and a touch of holiday magic, she came up with a brilliant new twist on the special heating machine that kept Santa’s house warm. But this was no ordinary machine. For starters, it ran on coal candies, and the best part? This marvelous contraption didn’t consume the candies! The machine was enchanted to remain sealed until the end of the Christmas holidays, turning it into a jar brimming with sweet treats that the elves could enjoy after the holiday rush.

In the original version, the room’s temperature was proportional to the number of candies inside the machine. But here’s where Elin’s clever twist came in: her new version worked so that the temperature was instead proportional to the rate at which coal candies were added. The faster the candies were tossed in, the toastier the room would become.

With cheeks glowing with excitement, Elin marched straight to Santa to share her idea. Santa, sitting by the fireplace with a mug of steaming hot cocoa, listened attentively, a twinkle in his eye and a warm smile on his face. How do you think Santa should respond to Elf Elin’s holiday invention?

a. 🔥🎉💡 Oh, this is a fantastic idea, Elin! By making the temperature proportional to how quickly the candies are added, we could achieve higher temperatures while saving energy. That’s some smart elf engineering!

b. 🤔⚠️🛑 Hmm, it doesn’t quite make sense, Elin! With this setup, someone would need to keep adding candies nonstop to maintain a constant temperature in the house. And what happens when the machine becomes full? We might run into trouble then!

c. 🤷‍♂️🔄⚙️ Well, I’m not entirely convinced, Elin. It seems like there wouldn’t be much of a change compared to how the machine worked before.

d. 🔥👏🌟 Wow, this is a great idea! It means we could reach higher temperatures while using the same amount of energy as before. Nice work, Elin!

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