Ch.1 - Chemical Tools: Experimentation & Measurement

Problem 38f

Chapter 1, Problem 38f

What SI units are used for measuring the following quanti-ties? For derived units, express your answers in terms of the six fundamental units. (f) Density

Verified step by step guidance

Density is defined as mass per unit volume.

The formula for density is \( \text{Density} = \frac{\text{Mass}}{\text{Volume}} \).

The SI unit for mass is the kilogram (kg).

The SI unit for volume is the cubic meter (m^3).

Therefore, the SI unit for density is \( \text{kg/m}^3 \), which is a derived unit expressed in terms of the fundamental units of kilograms and meters.

Verified video answer for a similar problem:

This video solution was recommended by our tutors as helpful for the problem above.

Video duration:

Was this helpful?

Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

SI Units

The International System of Units (SI) is a standardized system of measurement used globally in science and engineering. It consists of seven base units, including the meter (length), kilogram (mass), second (time), ampere (electric current), kelvin (temperature), mole (amount of substance), and candela (luminous intensity). Derived units are formed from these base units to measure other physical quantities.

Density

Density is defined as the mass of an object divided by its volume, typically expressed in units such as kilograms per cubic meter (kg/m³) in the SI system. It is a derived quantity that provides insight into how much matter is packed into a given space, which can vary significantly between different substances. Understanding density is crucial for applications in material science, fluid dynamics, and various engineering fields.

Derived Units

Derived units are combinations of the seven base SI units that are used to measure more complex quantities. For example, density (mass per unit volume) is a derived unit expressed as kg/m³, where kilograms (kg) is the unit of mass and cubic meters (m³) is the unit of volume. Recognizing how to express derived units in terms of fundamental units is essential for accurate scientific communication and calculations.

Recommended video:

Guided course

00:47

Ideal Gas Law Derivations

Related Practice

Textbook Question

What SI units are used for measuring the following quanti-ties? For derived units, express your answers in terms of the six fundamental units. (d) Volume

views

Textbook Question

What SI units are used for measuring the following quanti-ties? For derived units, express your answers in terms of the six fundamental units. (e) Energy

views

rank

Textbook Question

What SI units are used for measuring the following quanti-ties? For derived units, express your answers in terms of the six fundamental units. (e) Energy

Textbook Question

Complete the following equivalent expressions by filling in the blanks.(a) 1 km = ____ m(b) 1m = _____ km(c) 1 mmol = _____ mol(d) 1 mol = _____ mmol

views

Textbook Question

Bottles of wine sometimes carry the notation 'Volume = 75 cL. What does the unit cL mean?

views

Textbook Question

Which quantity in each of the following pairs is larger?(a) 5.63 * 106 cm or 6.02 * 101 km

views