How do you calculate the density of ice?

Question

If you have 100 mL(1/2 cup) frozen water (ice) in a cup, add an additonal 100 mL to it the ice goes up to 1 cup. Now this volume corresponds to the water plus the volume of ice that lies under the surface of the water. Assume that the block of ice weighs 100 g. Calculate the volume and density of the ice block.

Answer 1

Actually, you don't have enough information...

Ice is lighter than liquid water, so it floats.  You have 100 G of ice, and 100 g of water, but the volume of the water is 100 ml and the volume of the ice is a bit more than that (about 110 ml, for our discussion).  The problem is that you need to know the actual volume of the ice, and you can't tell what it is from your information.  The 110 ml of ice will displace 100 ml of water (Archimedes' Principle) and so the liquid line will be 100 ml.

If the ice remained submerged, then you'd find the volume of the ice because the total volume of ice plus water is a bit more than 200 ml (about 210).  

Arrange a small screen or weight or something like that to hold the ice down, but you will need to know its volume as it will add to the total volume you are measuring.

Anyway, the other answers tell you what to do with the volume and mass data to calculate the density.

Answer 2

put ice in mouth, count seconds until it toally melts...divide number of seconds by pie, now multiply pie by x7-y6/3....and that is the density.

Answer 3

density = mass/volume

Answer 4

I don't think you phrased your question correctly.  You state that the volume of ice is 100 ml, and that the mass of ice is 100g, therefore the density of ice must be 1 g/ml. But this is not the right answer, since ice is actually slightly less dense than liquid water. Can you re-state your question?

Answer 5

Density of ice

= Mass of ice taken

                           ------------------------

                          Volume of ice taken