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A material will float on the surface of a liquid if the material has a density less than that of the liquid. Given that the density of water is approximately $1.0 \mathrm{g} / \mathrm{mL},$ will a block of material having a volume of $1.2 \times 10^{4} \mathrm{in.}^{3}$ and weighing 3.5 $\mathrm{lb}$ float or sink when placed in a reservoir of water?

Name: Problem 59, Chapter 5: World of Chemistry
Uploaded: 2020-06-14T17:31:27-08:00
Duration: 3 min 50 s
Channel: Asma Hafiz
Description: A material will float on the surface of a liquid if the material has a density less than that of the liquid. Given that the density of water is approximately 1.0 g / mL, will a block of material having a volume of 1.2 ×10^4 in.^3 and weighing 3.5 lb float or sink when placed in a reservoir of water?

   A material will float on the surface of a liquid if the material has a density less than that of the liquid. Given that the density of water is approximately $1.0 \mathrm{g} / \mathrm{mL},$ will a block of material having a volume of $1.2 \times 10^{4} \mathrm{in.}^{3}$ and weighing 3.5 $\mathrm{lb}$ float or sink when placed in a reservoir of water?

World of Chemistry

Steven S.Zumdahl,… 1st Edition

Chapter 5, Problem 59

Instant Answer

Solved by Expert Asma Hafiz

06/14/2020

Step 1

Given that 1 pound (lb) is approximately equal to 454 grams (g), we can convert the mass of the block from pounds to grams: \[3.5 \, \text{lb} \times \frac{454 \, \text{g}}{1 \, \text{lb}} = 1589 \, \text{g}\] Show more…

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A material will float on the surface of a liquid if the material has a density less than that of the liquid. Given that the density of water is approximately $1.0 \mathrm{g} / \mathrm{mL},$ will a block of material having a volume of $1.2 \times 10^{4} \mathrm{in.}^{3}$ and weighing 3.5 $\mathrm{lb}$ float or sink when placed in a reservoir of water?

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Key Concepts

Density

Density is defined as mass divided by volume and is a fundamental property used to determine whether an object will float or sink. In fluid mechanics, comparing the density of an object to that of a fluid helps predict its buoyant behavior.

Unit Conversion

Unit conversion is the process of converting measurements from one unit system to another to ensure consistency in calculations. In problems involving density, it is important to express both mass and volume in compatible units to accurately compute and compare densities.

Buoyancy

Buoyancy is the upward force exerted by a fluid that opposes the weight of an object immersed in it. According to the principles of buoyancy, an object will float if its density is lower than that of the fluid, as the weight of the displaced fluid will exceed the object's weight.

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