Ch.1 - Matter, Measurement & Problem Solving

Tro - Chemistry: A Molecular Approach 6th Edition

Tro6th EditionChemistry: A Molecular ApproachISBN: 9780137832217Not the one you use?Change textbook

Tro 6th Edition

Ch.1 - Matter, Measurement & Problem Solving

Problem 69

Chapter 1, Problem 69

Glycerol is a syrupy liquid often used in cosmetics and soaps. A 3.25 L sample of pure glycerol has a mass of 4.10×10³ g. What is the density of glycerol in g/cm³?

Verified step by step guidance

Convert the volume from liters to cubic centimeters (cm^3) using the conversion factor: 1 L = 1000 cm^3.

Calculate the density using the formula: \( \text{Density} = \frac{\text{Mass}}{\text{Volume}} \).

Substitute the given mass (4.10 \(\times\) 10^3 \(\text{ g}\)) and the converted volume into the density formula.

Simplify the expression to find the density in g/cm^3.

Ensure the units are consistent and the final density is expressed in g/cm^3.

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.

Density

Density is defined as the mass of a substance divided by its volume. It is typically expressed in units such as grams per cubic centimeter (g/cm³) or kilograms per liter (kg/L). Understanding density is crucial for determining how much mass is contained in a given volume of a substance, which is essential in various applications, including chemistry and material science.

Mass and Volume

Mass is a measure of the amount of matter in an object, usually measured in grams (g) or kilograms (kg). Volume, on the other hand, is the amount of space that a substance occupies, commonly measured in liters (L) or cubic centimeters (cm³). In the context of calculating density, both mass and volume are necessary components, as density is derived from their relationship.

Unit Conversion

Unit conversion is the process of converting a quantity expressed in one set of units to another. In this question, it is important to ensure that the volume of glycerol is expressed in cubic centimeters (cm³) to match the density units of g/cm³. Understanding how to convert between liters and cubic centimeters (1 L = 1000 cm³) is essential for accurate calculations in chemistry.

Recommended video:

Guided course

01:56

Conversion Factors

Related Practice

Textbook Question

A new penny has a mass of 2.49 g and a volume of 0.349 cm³. Is the penny made of pure copper? Explain your answer.

1748

views

Textbook Question

Ethylene glycol (antifreeze) has a density of 1.11 g>cm3. a. What is the mass in g of 226 mL of ethylene glycol? b. What is the volume in L of 4.2 kg of ethylene glycol?

Textbook Question

A supposedly gold nugget displaces 19.3 mL of water and has a mass of 371 g. Could the nugget be made of gold?

1093

views

Textbook Question

A titanium bicycle frame displaces 0.314 L of water and has a mass of 1.41 kg. What is the density of the titanium in g/cm³?

1744

views

Textbook Question

A small airplane takes on 245 L of fuel. If the density of the fuel is 0.821 g/mL, what mass of fuel has the airplane taken on?

2438

views

Glycerol is a syrupy liquid often used in cosmetics and soaps. A 3.25 L sample of pure glycerol has a mass of 4.10×103 g. What is the density of glycerol in g/cm3?

Verified video answer for a similar problem:

Key Concepts

Density

Mass and Volume

Unit Conversion

Glycerol is a syrupy liquid often used in cosmetics and soaps. A 3.25 L sample of pure glycerol has a mass of 4.10×10³ g. What is the density of glycerol in g/cm³?