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Water has a density of 0.997 g/cm^3 at 25 degrees C; ice has a density of 0.917 g/cm^3 at -10 degrees C. (question part a) If a soft drink bottle whose volume is 1.50L is completely filled with water and then frozen to -10 degrees C, what volume does the ice occupy? (question part b) Can the ice be contained within the bottle?

Respuesta :

scme1702
Mass of water added:
0.997 x 1500
= 1495.5 grams

a) Volume = mass / density
Volume = 1495.5 / 0.917
Volume = 1630 cm³ = 1.63 L

b) The ice cannot be contained in the bottle as its volume exceeds that of the bottle.
johnkellock
1.5L x 0.05
= 0.075
= 1.425L

Once melted ice will then take the same volume as before (10cm^3), but it was dispersing only 9.5cm^3, so the water level will rise to account for the additional .5cm^3. This is a fairly small amount (only about 5% of the volume of the melted water), but it's notable.

Therefore yes it can be contained.