Skip to main content
Ch.2 Chemistry and Measurements
Timberlake - Chemistry: An Introduction to General, Organic, and Biological Chemistry 14th Edition
Timberlake14th EditionChemistry: An Introduction to General, Organic, and Biological ChemistryISBN: 9781292472249Non è quello che usi tu?Cambia libro di testo
Tutti i libri di testoTimberlake 14th EditionCh.2 Chemistry and MeasurementsProblema 69c
Capitolo 2, Problema 69c

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.

Guida verificata passo dopo passo
1
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.

Risposta video verificata per un problema simile:

Questa soluzione video è stata consigliata dai nostri tutor come utile per risolvere questo problema.
Durata del video:
1m

Concetti chiave

Ecco i concetti essenziali che devi comprendere per rispondere correttamente alla domanda.

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.
Video consigliato:
Percorso guidato
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.
Video consigliato:
Percorso guidato
01:36
Density 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.
Video consigliato:
Percorso guidato
02:52
Measuring Radioactivity Concept 1
Pratica correlata
Domanda del libro di testo

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>

2413
views
Domanda del libro di testo

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.

2442
views
Domanda del libro di testo

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.

2112
views
Domanda del libro di testo

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.

2494
views
Domanda del libro di testo

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.

2320
views
Domanda del libro di testo

Using conversion factors, solve each of the following problems:

a. Sandra has an order from the doctor to give 1.0 g of tetracycline every six hours to a patient. If the stock on hand is 500-mg tablets, how many will she need for one day’s treatment?

81
views