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Cool Math About Ice

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posted on Apr, 17 2013 @ 12:17 PM
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A block of ice (ρ = 0.92 g/cm3) floats in a tub of water. If the ice is left to melt with no removal or addition of water, what will happen to the level of the water as the ice melts?

A The water level will fall.
B The water level will remain the same.
C The water level will rise.
D The water level will rise or fall depending on atmospheric pressure.


Answer




posted on Apr, 17 2013 @ 12:20 PM
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I guess atmospheric pressure will be the main thing.

But i'm leaning toward rising... only because ice has air bubbles, thus make it float above the water, and thus when it melts, it reaches equilibrium and raise the level a tad bit..

BRB gonna check answer now!

Checked answers... and i failed lol. the Answer is it remain the same. I guess the weight above the water is already calculated into the equation.
edit on 4/17/2013 by luciddream because: (no reason given)



posted on Apr, 17 2013 @ 12:25 PM
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It will stay the same because the frozen water weighs exactly the same as liquid water. So the amount of displacement will not change.

Prove it yourself by taking a glass of ice and filling it all the way to the top. As it melts the level remains the same and none spills over the side.



posted on Apr, 17 2013 @ 12:30 PM
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I got it right.
Had to think about it for a couple minutes beforehand though.



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