Question

The density of water is 1.00 g/cm3. The density of ice is 0.92 g/cm3. By what percent is the volume increased when water is frozen at 0°C? What is the final volume if 500 mL of water is completely frozen?

Answer 1

At the same temperature of 0°C, the density (mass per volume) of ice is 0.9187 gram per cubic centimeter (g cm-3 or g/cm3) while that of liquid water is 0.9998 g cm-3 (Cohen et al. 2003). The lesser density means that ice contains lesser mass (quantity of matter) per unit of volume. It also means that the molecules of water are less compressed per unit volume of ice. Another way of saying it is that ice is less compact than liquid water having the same volume.

Answer 2

Volume increase by 8.70% and volume of 500 mL of water when completely frozen is 543 mL

Step-by-step explanation:

• Density is the ratio of mass to volume
• Let's say there are m g of water. So volume of m g of water is equal to
  `(m)/(1.00)cm^(3)` or
  `m cm^(3)`
• If m g of water is completely frozen to ice then volume of m g of ice is equal to
  `(m)/(0.92)cm^(3)`
• So, percentage of increases in volume =
  `(((m)/(0.92))-(m))/(m)* 100` % = 8.70 %
• Mass of 500 mL of water =
  `(1.00g/cm^(3))* 500cm^(3)=500g` (
  `1mL=1cm^(3)`)
• So volume of 500 mL of water when it is completely frozen =
  `(500g)/(0.92g/cm^(3))=543cm^(3)=543 mL`