Chemistry Problem. Can someone EXPLAIN this to me?

Question

"The density of pure silver is 105 g/cm³ at 20°C. If 5.25 g of pure silver pellets is added to a graduated cylinder containing 11.2 mL of water, to what volume level will the water in the cylinder rise? [1 mL = 1 cm³]"
Can someone help me by EXPLAINING how one would come to their answer? Thanks so much! :D

I seem to have made a typo. It's not supposed to be 105 g/cm cubed, but 10.5 g/cm^3:
The density of pure silver is 10.5 g/cm³ at 20°C. If 5.25 g of pure silver pellets is added to a graduated cylinder containing 11.2 mL of water, to what volume level will the water in the cylinder rise? [1 mL = 1 cm³]

Answer 1

5.25g of silver, in terms of volume is (5.25g)/(105g/cm3) = 0.05 cm3 volume of silver is present. Since its a solid and does not mix with the water, the volume should be additive, so the volume should increase by 0.05mL

Answer 2

The key to your answer lies in the fact that 1mL = 1cm^3. This means that there are 105g of silver pellets in 1mL of silver pellets. Since you are only adding 5.25g silver pellets, you are adding (5.25/105)mL silver pellets to the graduated cylinder. Thus you are adding 0.05mL to the cylinder. Final volume is 11.25mL.

Answer 3

density=wieght/volume, the volume of (5.25 g silver pellets) is 5.25 / 10.5 = 0.5 cm3 , so the volume of the water in the cylinder will be 11.25 ml.

Answer 4

ok, so the density is 105...that means that the mass (5.25 g pure silver) times volume (11.2 mL of water). you add the density to the mL of water, and I believe you have your answer...If I'm wrong, check with me later.

Answer 5

well i would think that 105g of silver equals a CM cubed. So 5.25/105= .05 CM cubed. if 1mL = 1CM cubed then .05CM cubed = .05mL so 11.25mL is the answer. im just guessing tho

ok so now the answer would be 5.25/10.5=.5. so it would be 11.25+.5= 11.75mL


is this how u do ur homework?

Answer 6

5.25 g of pure silver would occupy 0.5 cm^3, or 0.5 ml, given a density of 10.5 g/cm^3.

Add 0.5 ml to your original volume of 11.2 ml, and you'll get 11.7 ml.