   Chapter 20, Problem 49IL

Chapter
Section
Textbook Problem

Imagine the following experiment: You have a large graduated cylinder containing 100. mL of liquid water at 0 °C. You drop an ice cube with a volume of 25 cm3 into the cylinder. Ice has a density of 0.92 g/cm3 less than the density of liquid water, so it floats with 92% being under water. (a) To what level will the water in the graduated cylinder rise after adding the ice? (b) Allow the ice to melt. What volume will now be occupied by the liquid water? (One consequence of global warming will be a rise in sea level as ice in the northern and southern regions of the planet melts. However, the effect relates only to melting of ice on land. Melting of floating ice will have no effect on sea levels.)

(a)

Interpretation Introduction

Interpretation: It should be determined that to what level will the water in the graduated cylinder rise after adding the ice.

Concept introduction:

Density of a substance can be determined using the equation,

Density=massVolume

Explanation

The level of water in the graduated cylinder after the addition of ice can be determined as follows,

Given,

Volume=100mlVolumeoficecube=25cm3Densityofice=0.92g/cm3

Volum

(b)

Interpretation Introduction

Interpretation: It should be determined that to what level will the water in the graduated cylinder rise after adding the ice and the volume occupied by the liquid water.

Concept introduction:

Density of a substance can be determined using the equation,

Density=massVolume

Volume=MassDensity

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