Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 5 - Number Theory and the Real Number System - 5.6 Exponents and Scientific Notation - Exercise Set 5.6 - Page 321: 115

Answer

The mass of 20,000 oxygen molecule in scientific notation is \[1.06\times {{10}^{-18}}\]gram.

Work Step by Step

It is provided that the mass of one oxygen molecule \[5.3\times {{10}^{-23}}\text{ gram}\]and it is already in scientific notation. To find out the mass of 20,000 Oxygen molecule, so \[20,000=2.0\times {{10}^{4}}\] Now,mass of 20,000 oxygen molecule is: \[\begin{align} & 2.0\times {{10}^{4}}\times 5.3\times {{10}^{-23}}=\left( 2.0\times 5.3 \right)\times \left( {{10}^{4-23}} \right) \\ & =10.6\times {{10}^{-19}} \\ & =1.06\times {{10}^{-18}} \end{align}\] Hence, the mass of 20,000 oxygen molecule in scientific notation is \[1.06\times {{10}^{-18}}\]gram.
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