Unformatted text preview: ∆ = ∆ = This is a separable differential equation; integrating both sides, setting , at = = t x gives . 2 f ice 2 t L ρ T k x ∆ = The square of the thickness is propotional to the time, so the thickness is propotional to the square root of the time. c) Solving for the time in the above expression, ( 29 ( 29 ( 29 ( 29 ( 29 s. 10 . 6 m 25 . C 10 K mol J 6 . 1 2 kg J 10 334 m kg 920 5 2 3 3 × = ° ⋅ × = t d) Using m 40 = x in the above calculation gives s, 10 5 . 1 10 × = t about 500 y, a very long cold spell....
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 Heat, constant temperature difference, Lf dx, ρic e Lf, slightly warmer water

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