Chemistry: The Molecular Science (5th Edition)

Published by Cengage Learning
ISBN 10: 1285199049
ISBN 13: 978-1-28519-904-7

Chapter 1 - The Nature of Chemistry - Exercise 1.4 - S1 Units and Prefixes: a

Answer

$ 1 cm ^3 = 1 mL$

Work Step by Step

We know that 1 L is 1/1,000 of a cubic meter, as defined in the textbook. $ 1 cm^3 = (1/100)^3m^3$ $ 1cm ^3 = 1*10^{-6} m^3$ Thus, we see that the cubic centimeter is 1/1,000,000 of a cubic meter, which differs from a liter by a factor of $10^-3$. We use the prefix mili for $10^{-3}$. Thus, $ 1 cm ^3 = 1 mL$
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