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Old 04-21-2004, 04:05 PM   #14 (permalink)
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What we know:

1) the question deals with volume

2) by definition, density deals with volume

3) the density of water is 1.00 g/cm^3 @ 4'C and its density decreases as you increase or decrease temperature

of interest: as the water becomes warmer or cooler, its volume will increase by definition

4) according to Archimedes principle, the mass of water displaced by the submerged portion of the ice equals the volume of the ice displacing the water times its density

of interest: this means that as the ice melts (becomes more dense) it will displace less water but its volume also decreases proportionately

Ok - with what we know, the ice cubes will become more dense and thus have a lower volume (by definition) as they melt. We also know that the ice cubes displace a certain amount of water (raising the water level) due to the difference in density. We also know that the amount of water displaced by ice is proportionate to the volume of ice.

Sadly, not enough information is given to choose between a or b as was noted by Peetster.

You see, as the ice attains standard conditions, the volume will increase somewhere in the 3rd decimal place. We also lack knowledge of the initial water temperature - had it been at 4'C the volume would increase as the water attains standard conditions.

Consider this. Put a known mass of ice in the water and measure the water level (volume). Next, add the exact same mass of water as ice to the container. What happens? What would you expect?
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