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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 $1.0 \mathrm{~g} / \mathrm{mL}$ under many conditions, will a block of material having a volume of $1.2 \times 10^{4}$ in. ${ }^{3}$ and weighing 3.5 lb float or sink when placed in a reservoir of water?

Name: Problem 92, Chapter 2: Introductory Chemistry
Uploaded: 2023-08-30T05:29:09-08:00
Duration: 2 min 3 s
Channel: Ma Ednelyn Lim
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 under many conditions, 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 $1.0 \mathrm{~g} / \mathrm{mL}$ under many conditions, will a block of material having a volume of $1.2 \times 10^{4}$ in. ${ }^{3}$ and weighing 3.5 lb float or sink when placed in a reservoir of water?

Introductory Chemistry

Steven S. Zumdahl,… 9th Edition

Chapter 2, Problem 92

Instant Answer

Solved by Expert Ma Ednelyn Lim

08/30/2023

Step 1

We know that 1 pound is approximately equal to 453.6 grams. So, the mass of the material in grams is: \[3.5 \, \text{lb} \times \frac{453.6 \, \text{g}}{1 \, \text{lb}} = 1587.6 \, \text{g}\] 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 $1.0 \mathrm{~g} / \mathrm{mL}$ under many conditions, will a block of material having a volume of $1.2 \times 10^{4}$ in. ${ }^{3}$ and weighing 3.5 lb float or sink when placed in a reservoir of water?

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Key Concepts

Unit Conversion

Unit conversion is the process of translating measurements from one system to another, such as converting cubic inches to milliliters or grams to pounds. Correct unit conversion is essential when comparing densities, especially when the quantities involved are expressed in different units.

Density

Density is a measure of mass per unit volume and serves as a critical property in determining whether a substance will float or sink in a given fluid. An object will float if its density is lower than that of the liquid it is placed in, and sink if its density is higher.

Buoyancy

Buoyancy relates to the upward force exerted by a fluid that opposes the weight of an object immersed in it. The principle of buoyancy, often explained by Archimedes’ principle, states that the buoyant force is equal to the weight of the fluid displaced by the object. This is crucial in assessing whether an object will float or sink.

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