Water has a density of 0.997 g / cm^3 at 25^∘ C; ice has a density of 0.917 g / cm^3 at -10^∘

step 1 the problem is the world one. What has a density of 0.997 drum per centimeter cube? 25 cents Use

Water has a density of 0.997 g / cm^3 at 25^∘ C; ice has a...

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

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Density

Density is the mass per unit volume of a substance and can be used to convert between volume and mass. It is a fundamental property in physics and chemistry that helps in determining how much space a given mass of a material will occupy.

Mass Conservation in Phase Changes

When a substance undergoes a phase change, such as from liquid to solid, its mass remains constant even though its density and volume might change. This principle allows us to calculate the new volume of a substance after freezing by using its unchanged mass and its new density.

Thermal Expansion (Anomalous Expansion of Water)

Water exhibits anomalous expansion when it freezes. Unlike most substances, water expands as it transitions from liquid to ice because of the crystalline structure that forms, which occupies more space. This unique property is important when considering how volume changes during freezing.

Unit Conversion

Unit conversion is the process of converting measurements from one unit to another, such as converting liters to cubic centimeters or grams. This is an essential skill in problem-solving, ensuring consistency and correctness when applying formulas involving density, mass, and volume.

Transcript

Please give Ace some feedback