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Melting ice in salt water
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by kudoushinichi
on 2007-10-30 00:51:48
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I found this in a book, but I don't have the time to really ponder about this as yet because I have other exams to sit... *** According to Archimedes principle, the upthrust on an object in a fluid is equal to the weight of fluid displaced by the object. Hence, an ice cube floating in pure water in a beaker displaces its own weight of water. When it melts, it therefore makes do difference to the level of water in the beaker. However, this is only true for pure water since ics is frozen pure water. Salt water is more dense than pure water. Prove that the fractional increase of volume when pure ice melts in salt water is equal to (rho_s - rho_w)/rho_w where rho_s and rho_w are the densities of salt water and pure water respectively. *** Basically, it says that water level increses when ice melts in salt water but water level does not increase when ice melts in pure water. And it askes find the fractional increase in the volume... Can anyone show how much will the water level increase too?
Shinjitsu wa itsumo hitotsu!
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Re: Melting ice in salt water
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by
on 2007-11-03 07:04:41 |
Is that even right? I'm baffled. 
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Re: Melting ice in salt water
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by SuicidopoliS
on 2007-11-03 15:37:01
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Actually, it isn't right... Hence, an ice cube floating in pure water in a beaker displaces its own weight of water. When it melts, it therefore makes do difference to the level of water in the beaker. Iced water takes up more space than liquid water for a same amount of mass, so when iced water melts in pure water, the volume should decrease. Otherwise stated, the density of iced water is less than the density of liquid water... Whatever... .oO° Life's THE CURE, the rest are details! °Oo. |