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

Timberlake 14th Edition

Ch.2 Chemistry and Measurements

Problema 118

Capitolo 2, Problema 118

A graduated cylinder contains 155 mL of water. A 15.0-g piece of iron and a 20.0-g piece of lead are added. What is the new water level, in milliliters, in the cylinder?

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Determine the volume of the iron piece using its mass and density. Use the formula:

V = \frac{m}{ρ}

, where

m

is the mass of the iron (15.0 g) and

ρ

is the density of iron (from Table 2.8).

Determine the volume of the lead piece using the same formula:

V = \frac{m}{ρ}

, where

m

is the mass of the lead (20.0 g) and

ρ

is the density of lead (from Table 2.8).

Add the volumes of the iron and lead pieces together to find the total volume displaced by the two metals.

Add the total displaced volume to the initial water volume in the graduated cylinder (155 mL) to calculate the new water level.

Express the final water level in milliliters, ensuring the correct number of significant figures based on the given data.

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Displacement of Water

When an object is submerged in a fluid, it displaces a volume of fluid equal to the volume of the object. This principle, known as Archimedes' principle, is crucial for determining the new water level in the graduated cylinder after adding the iron and lead pieces.

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Percorso guidato

01:36

Density of Non-Geometric Objects

Density and Mass

Density is defined as mass per unit volume (density = mass/volume). Understanding the densities of iron and lead allows us to calculate their respective volumes when added to the water, which directly affects the water level in the graduated cylinder.

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Percorso guidato

01:56

Density

Volume Calculation

To find the new water level, we need to calculate the volume of the added materials using their mass and density. The total volume displaced by both the iron and lead will be added to the initial water volume to determine the final water level in the cylinder.

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Percorso guidato

03:13

Calculate Oxidation Numbers

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