FYKOS Year 38 Series 5 Problem 2 — waterlift · FYKOS 38 #38.5.2

Physics · thermodynamics

Problem

We fill a hose with water—one end is submerged in a water reservoir, while the other end is sealed airtight. We then start pulling the hose vertically upward. This water has a temperature of 20 ∘\mathupC20\,\mathrm{^\circ\mskip-2mu\mathup{C}}. How much would the height change if we used water at 90 ∘\mathupC90\,\mathrm{^\circ\mskip-2mu\mathup{C}} instead, i.e., what is the difference between these two heights?

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