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Chapter 2: Problem 83

What does the density of a substance represent?

Short Answer

Expert verified
The density of a substance represents the relationship between its mass and the space it occupies. It is determined by dividing the mass of a substance by its volume and is denoted by the symbol 蟻 (rho). The formula for density is: Density = \(\frac{Mass}{Volume}\), where mass is measured in kilograms (kg) and volume in cubic meters (m鲁). The density value distinguishes different materials, as each substance has its own unique density.

Step by step solution

01

Definition of Density

Density is defined as the mass per unit volume of a substance. It tells us how much mass is packed into a specific volume. The denser a substance is, the more mass is packed into a given volume. The density of a substance can be used to distinguish between different materials, as each substance has its own unique density value.
02

Formula for Density

Density can be determined by dividing the mass of a substance by its volume. The formula for density is: Density = \(\frac{Mass}{Volume}\) Where: - Density is usually represented by the symbol 蟻 (rho) - Mass is measured in kilograms (kg) - Volume is measured in cubic meters (m鲁)
03

Example Calculation

Let's say we have a substance with a mass of 2 kg and a volume of 0.5 m鲁. We can use the formula for density to determine the density of this substance: Density = \(\frac{Mass}{Volume}\) = \(\frac{2\,\text{kg}}{0.5\,\text{m}^3}\) Density = 4 kg/m鲁 So the density of this substance is 4 kg per cubic meter.

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Most popular questions from this chapter

The unit of volume in the metric system is the liter, which consists of 1000 milliliters. How many liters or milliliters is each of the following common English system measurements approximately equivalent to? a. a gallon of gasoline b. a pint of milk c. a cup of water

For the masses and volumes indicated, calculate the density in grams per cubic centimeter. a. mass \(=122.4 \mathrm{g} ;\) volume \(=5.5 \mathrm{cm}^{3}\) b. mass \(=19,302 \mathrm{g} ;\) volume \(=0.57 \mathrm{m}^{3}\) c. mass \(=0.0175 \mathrm{kg} ;\) volume \(=18.2 \mathrm{mL}\) d. mass \(=2.49 \mathrm{g} ;\) volume \(=0.12 \mathrm{m}^{3}\)

Indicate the number of significant figures implied in each of the following statements: a. The population of the United States is 250 million. b. One hour is equivalent to 60 minutes. c. There are 5280 feet in 1 mile. d. Jet airliners fly at \(500 \mathrm{mi} / \mathrm{h}\). e. The "Daytona \(500 "\) is a 500 -mile race.

The volume 0.250 L could also be expressed as ______ \(\mathrm{mL}\).

Typically, gases have very (high/low) densities compared to those of solids and liquids (see Table 2.8 ).
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