Chemistry: The Central Science (13th Edition)

Published by Prentice Hall
ISBN 10: 0321910419
ISBN 13: 978-0-32191-041-7

Chapter 1 - Introduction: Matter and Measurement - Exercises - Page 35: 1.29a


Density=1622 kg/$m^{3}$ It does not float on water.

Work Step by Step

This question is a density calculation. We are given a mass of 40.55 g and a volume of 25.0 mL. We have to use the density formula, of d=m/v. We have to convert our units first. We have to convert grams to kilograms and mL to $m^{3}$. There are 1000 grams in a kilogram and 1e6 mL in a cubic meter. When you convert the measurements, you find that the substance has a mass of .04055 kg and a volume of 2.5e-5 cubic meters. When we do this calculation, we find that the density is equal to 1622 kg/$m^{3}$. The second part of the problem asks whether the substance floats on water. For it to float, the density need to be less than that of water. Since water has a density of 1000 kg/$m^{3}$. Since 1622>1000, the substance sinks.
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