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Chapter 1: Problem 17

Define density. Describe some uses of density.

Short Answer

Expert verified
Density measures mass per unit volume and is used in engineering, geology, and everyday life to explain buoyancy and object composition.

Step by step solution

01

Understand the Concept of Density

Density is a measure of how much mass is contained in a given volume. It is a physical property of a substance that can help to identify it. The formula for density is \( \text{Density} = \frac{\text{Mass}}{\text{Volume}} \) and is typically expressed in units such as grams per cubic centimeter (g/cm鲁) or kilograms per cubic meter (kg/m鲁).
02

Explore Uses of Density

Density is used in a variety of contexts. For example, in engineering, it helps determine the buoyancy of objects, which is crucial in shipbuilding. In geology, the density of rocks can help identify their composition and locate mineral deposits. In everyday life, density explains why some objects float while others sink in water.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Mass
Mass is a fundamental concept in physics, representing the amount of matter contained in an object or substance. It remains constant regardless of its location. Mass is often measured in units such as grams (g) or kilograms (kg).

Understanding mass is crucial because it plays a key role in the calculation of density. Mass helps us quantify how much of a substance we have. For instance, when discussing the weight of a book, car, or even a scoop of flour, we are referring to its mass.
  • Mass is independent of gravity, unlike weight which can change depending on location, such as the Moon versus Earth.
  • It serves as a measure of an object's inertia, or resistance to change in motion.
Recognizing mass as a constant physical quantity helps in making precise calculations across various fields of science and engineering.
Volume
Volume is the amount of space that an object or substance occupies. It represents the three-dimensional size of an object and is usually measured in cubic meters (m鲁), liters (L), or cubic centimeters (cm鲁).

The concept of volume is essential because it helps us understand how much space an object takes up. When we consider liquids in a container, air in a balloon, or even the space within a room, we are talking about volume.
  • Volume can be calculated for simple shapes using mathematical formulas, such as \( \text{Volume} = \text{length} \times \text{width} \times \text{height} \) for a cuboid.
  • For irregular objects, volume can be determined using techniques such as water displacement.
This measurement plays a vital role in density calculations, where understanding how mass is distributed over a given volume is key.
Physical Property
A physical property is an attribute of a substance that can be observed or measured without changing the substance's chemical identity. These properties are crucial for characterizing materials and include attributes such as color, melting point, boiling point, and, importantly, density.

As a physical property, density is particularly useful in distinguishing between substances and determining their purity or composition. Its practical applications span multiple industries and sciences.
  • In chemistry, physical properties help identify substances and predict how different materials will interact.
  • In manufacturing, understanding physical properties ensures that materials meet required specifications.
  • In daily life, physical properties explain everyday phenomena, such as why ice floats on water.
Overall, physical properties provide valuable insights, allowing for practical applications and scientific studies that influence industries and our daily lives.

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Most popular questions from this chapter

The first measurement of sea depth was made in 1840 in the central South Atlantic, where a plummet was lowered 2425 fathoms. What is this depth in meters? Note that 1 fathom \(=\) \(6 \mathrm{ft}, 1 \mathrm{ft}=12 \mathrm{in} .\), and 1 in. \(=2.54 \times 10^{-2} \mathrm{~m} .\) (These relations are exact.)

For each of the following, decide whether a physical or a chemical change is involved. a. dissolving of sugar in water b. rusting of iron c. burning of wood d. evaporation of alcohol

Which of the following are pure substances and which are mixtures? For each, list all of the different phases present. a. a sugar solution with sugar crystals at the bottom b. ink containing a liquid solution with fine particles of carbon c. a sand containing quartz (silicon dioxide) and calcite (calcium carbonate) d. liquid water and steam at \(100^{\circ} \mathrm{C}\)

Do the indicated arithmetic and give the answer to the correct number of significant figures. a. \(\frac{8.71 \times 0.0301}{0.031}\) b. \(0.71+92.2\) c. \(934 \times 0.00435+107\) d. \((847.89-847.73) \times 14673\)

Do the indicated arithmetic and give the answer to the correct number of significant figures. a. \(\frac{0.871 \times 0.57}{5.871}\) b. \(8.937-8.930\) c. \(8.937+8.930\) d. \(0.00015 \times 54.6+1.002\)
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