College Physics: A Strategic Approach (4th Edition)
College Physics: A Strategic Approach (4th Edition)
4th Edition
ISBN: 9780134609034
Author: Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher: PEARSON
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Chapter 13, Problem 1CQ

Which has the greater density, 1 g of mercury or 1000 g of water?

Expert Solution & Answer
Check Mark
To determine

To find: The substance which has greater density.

Answer to Problem 1CQ

The substance which has greater density is 1 g of mercury.

Explanation of Solution

Given data:

The mass of mercury is 1 g and the mass of water is 1000 g.

Explanation:

Refer to Table 13.1 in the textbook for the densities of fluids at 1 atm pressure.

The density is basically estimated as ratio to the mass to volume, even though the density does not depend on object size. Therefore, the density remains same irrespective of mass either it is 1 g or 1000 g. The density is unchanged for any shape or volume and mass of a specific substance.

From Table 13.1, the density of mercury (ρmercury) is 13,600kgm3 and the density of water (ρwater) is 1000kgm3 .

Find the value of ratio ρmercuryρwater .

ρmercuryρwater=13,600kgm31000kgm3=13.6

Re-arrange the expression.

ρmercury=13.6ρwater

Therefore, the density of 1 g of mercury is 13.6 times higher than the density of 100 g of water.

Conclusion:

Thus, the substance, which has greater density is 1 g of mercury.

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Chapter 13 Solutions

College Physics: A Strategic Approach (4th Edition)

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