FYKOS Year 37 Series 6 Problem 3 — submarine sickness · FYKOS 37 #37.6.3

Physics · electromagnetism · thermodynamics

Problem

A submarine of volume V=6 m3V=6\,\mathrm{m^3}, with solid carbon fiber walls of negligible thickness and internal temperature t=20 ∘\mathupCt=20\,\mathrm{^\circ\mskip-2mu\mathup{C}} was submerged to the depth d=3 kmd=3\,\mathrm{km}. Suddenly, the walls ceased to hold and the submarine shrank. What is the temperature inside? Assume that the submarine did not break, but only shrank (although we know from experience that this is not a realistic assumption), and that the passengers and the cargo put up only negligible resistance to the shrinking (this is a realistic assumption).

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