Small spheres of equal mass are made of lead (density =11.3 g / cm^3, silver (10.5 g / cm^3),

Name: Problem 68, Chapter 1: Chemistry: The Central Science
Uploaded: 2021-08-03T17:31:43-08:00
Duration: 1 min 3 s
Channel: David Collins
Description: Small spheres of equal mass are made of lead (density =11.3 g / cm^3, silver (10.5 g / cm^3), and aluminum (2.70 g / cm^3). Without doing a calculation, list the spheres in order from the smallest to the largest.

step 1 To answer this question, it might be helpful to review the definition of density. Density is def

Question

Small spheres of equal mass are made of lead (density $=11.3 \mathrm{~g} / \mathrm{cm}^{3}$, silver $\left(10.5 \mathrm{~g} / \mathrm{cm}^{3}\right)$, and aluminum $\left(2.70 \mathrm{~g} / \mathrm{cm}^{3}\right)$. Without doing a calculation, list the spheres in order from the smallest to the largest.

   Small spheres of equal mass are made of lead (density $=11.3 \mathrm{~g} / \mathrm{cm}^{3}$, silver $\left(10.5 \mathrm{~g} / \mathrm{cm}^{3}\right)$, and aluminum $\left(2.70 \mathrm{~g} / \mathrm{cm}^{3}\right)$. Without doing a calculation, list the spheres in order from the smallest to the largest.

Chemistry: The Central Science

Theodore E. Brown,… 9th Edition

Chapter 1, Problem 68

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Solved by Expert David Collins

08/03/2021

Step 1

Density is defined as the mass of the substance per volume. It is given by the formula: \[ \text{Density} = \frac{\text{Mass}}{\text{Volume}} \] Show more…

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Small spheres of equal mass are made of lead (density $=11.3 \mathrm{~g} / \mathrm{cm}^{3}$, silver $\left(10.5 \mathrm{~g} / \mathrm{cm}^{3}\right)$, and aluminum $\left(2.70 \mathrm{~g} / \mathrm{cm}^{3}\right)$. Without doing a calculation, list the spheres in order from the smallest to the largest.

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Key Concepts

Density

Density is a measure of mass per unit volume. It indicates how much mass is packed into a given volume, and in problems involving objects of equal mass, a material with a higher density will have a smaller volume than one with a lower density.

Volume-Mass Relationship

For objects with equal mass, the volume is inversely proportional to the density. That is, if the mass remains constant, an increase in density results in a decrease in volume, and a decrease in density results in an increase in volume.

Ordering Based on Density

When comparing objects of equal mass, the object made of the highest density material will be the smallest in size because it occupies the least volume, while the object made of the lowest density material will be the largest. This concept allows us to order the spheres from smallest to largest based solely on their densities.

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