(II) It is observed that 55.50 mL of water at 20^∘ C completely fills a container to the brim. W

step 1 It is observed that 55 .5 mil of water at 20 degrees Celsius completely fills a container to the

(II) It is observed that 55.50 mL of water at 20^∘ C...

(II) It is observed that 55.50 $\mathrm{mL}$ of water at $20^{\circ} \mathrm{C}$ completely fills a container to the brim. When the container and the water are heated to $60^{\circ} \mathrm{C}, 0.35 \mathrm{g}$ of water is lost. (a) What is the coefficient of volume expansion of the container? $(b)$ What is the most likely material of the container? Density of water at $60^{\circ} \mathrm{C}$ is 0.98324 $\mathrm{g} / \mathrm{mL} .$

(II) It is observed that 55.50 $\mathrm{mL}$ of water at $20^{\circ} \mathrm{C}$
completely fills a container to the brim. When the container and the water are heated to $60^{\circ} \mathrm{C}, 0.35 \mathrm{g}$ of water is lost. (a) What is the coefficient of volume expansion of the
container? $(b)$ What is the most likely material of the container? Density of water at $60^{\circ} \mathrm{C}$ is 0.98324 $\mathrm{g} / \mathrm{mL} .$

Key Concepts

Thermal Expansion

Thermal expansion is the tendency of matter to change in volume in response to a change in temperature. Most materials will expand when heated and contract when cooled, and this behavior is an important consideration in engineering, manufacturing, and material science. Understanding thermal expansion allows us to predict and manage dimensional changes in structures and containers subjected to temperature variations.

Coefficient of Volume Expansion

The coefficient of volume expansion is a material-specific property that quantifies how much a material's volume changes per unit temperature change. It is defined as the fractional change in volume per degree Celsius (or Kelvin) increase in temperature. This concept is crucial when calculating the expansion of materials like metals, plastics, or containers, especially in applications where precise volume or dimensional tolerances are necessary.

Density Variation with Temperature

The density of a substance, such as water, can change with temperature due to thermal expansion. As temperature increases, most liquids expand, resulting in a decrease in density. This relationship is important in understanding how the mass, volume, and density interact during thermal processes, which is essential when interpreting experimental data or solving problems that involve heating or cooling of substances.

Material Identification Based on Thermal Properties

Material identification based on thermal properties involves comparing observed thermal behaviors, such as expansion rates, with known properties of various materials. By analyzing the coefficient of volume expansion and other thermal characteristics, one can infer the composition or type of material used in a construction. This approach is valuable in fields such as materials engineering and quality control, where knowledge of a material's thermal behavior can lead to deductions about its identity or suitability for a given application.

Transcript

Please give Ace some feedback