Textbook Question
What is the density (g/mL) of each of the following samples?
b. A syrup is added to an empty container with a mass of 115.25 g. When 0.100 pt of syrup is added, the total mass of the container and syrup is 182.48 g.
<IMAGE>
2
views
Ch.2 Chemistry and Measurements
Timberlake13th EditionChemistry: An Introduction to General, Organic, and Biological ChemistryISBN: 9780134421353
Not the one you use?Change textbookSelect a different textbook
Table of contents
- Ch.1 Chemistry in Our Lives11
- Ch.2 Chemistry and Measurements80
- Ch.3 Matter and Energy54
- Ch.4 Atoms and Elements51
- Ch.5 Nuclear Chemistry42
- Ch.6 Ionic and Molecular Compounds57
- Ch.7 Chemical Quantities and Reactions41
- Ch.8 Gases29
- Ch.9 Solutions51
- Ch.10 Acids and Bases and Equilibrium65
- Ch.11 Introduction to Organic Chemistry: Hydrocarbons78
- Ch.12 Alcohols, Thiols, Ethers, Aldehydes, and Ketones83
- Ch.13 Carbohydrates54
- Ch.14 Carboxylic Acids, Esters, Amines, and Amides90
- Ch.15 Lipids61
- Ch.16 Amino Acids, Proteins, and Enzymes84
- Ch.17 Nucleic Acids and Protein Synthesis83
- Ch.18 Metabolic Pathways and ATP Production67
Timberlake13th EditionChemistry: An Introduction to General, Organic, and Biological ChemistryISBN: 9780134421353Not the one you use?Change textbook
Chapter 2, Problem 67c
Determine the density (g/mL) for each of the following:
c. A gem has a mass of 4.50 g. When the gem is placed in a graduated cylinder containing 12.00 mL of water, the water level rises to 13.45 mL.
Verified step by step guidance1
Step 1: Recall the formula for density, which is \( \text{Density} = \frac{\text{Mass}}{\text{Volume}} \). This formula relates the mass of an object to the volume it occupies.
Step 2: Identify the mass of the gem from the problem. The mass is given as 4.50 g.
Step 3: Determine the volume of the gem. The volume can be calculated by finding the difference in water levels before and after the gem is placed in the graduated cylinder. Use the formula \( \text{Volume of gem} = \text{Final water level} - \text{Initial water level} \). Substitute the values: \( \text{Volume of gem} = 13.45 \text{ mL} - 12.00 \text{ mL} \).
Step 4: Substitute the mass and calculated volume into the density formula. \( \text{Density} = \frac{4.50 \text{ g}}{\text{Volume of gem}} \).
Step 5: Perform the division to calculate the density. Ensure the units are consistent (g/mL) and interpret the result as the density of the gem.
Verified video answer for a similar problem:
This video solution was recommended by our tutors as helpful for the problem above.
Video duration:
1mWas 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 an object divided by its volume, typically expressed in grams per milliliter (g/mL) for liquids and solids. It is a crucial property that helps identify substances and understand their behavior in different environments. In this context, density can be calculated using the formula: Density = Mass/Volume.
Recommended video:
Guided course
01:56
Density
Volume Displacement
Volume displacement is a method used to measure the volume of an irregularly shaped object by observing the change in liquid level when the object is submerged. In this scenario, the initial water level is 12.00 mL, and it rises to 13.45 mL when the gem is added, indicating that the volume of the gem is the difference, which is 1.45 mL.
Recommended video:
Guided course
01:36Density of Non-Geometric Objects Concept and Example
Measurement Units
Measurement units are standardized quantities used to express physical properties. In this problem, mass is measured in grams (g) and volume in milliliters (mL). Understanding these units is essential for accurately calculating density and interpreting the results, as they ensure consistency and clarity in scientific communication.
Recommended video:
Guided course
02:52Measuring Radioactivity Concept 1
Related Practice
Textbook Question
Determine the density (g/mL) for each of the following:
a. A 20.0-mL sample of a salt solution has a mass of 24.0 g.
3
views
Textbook Question
What is the density (g/mL) of each of the following samples?
a. An ebony carving has a mass of 275 g and a volume of 207 cm3.
2
views
Textbook Question
What is the density (g/mL) of each of the following samples?
b. A 14.3 - cm3 sample of tin has a mass of 0.104 kg.
3
views
Textbook Question
Using conversion factors, solve each of the following clinical problems:
a. The physician has ordered 1.0 g of tetracycline to be given every six hours to a patient. If your stock on hand is 500-mg tablets, how many will you need for one day's treatment?
3
views
Textbook Question
Determine the density (g/mL) for each of the following:
b. A cube of butter weighs 0.250 lb and has a volume of 130.3 mL.
4
views