General Chemistry: Principles and Modern Applications (10th Edition)

Published by Pearson Prentice Hal
ISBN 10: 0132064529
ISBN 13: 978-0-13206-452-1

Chapter 1 - Matter: Its Properties and Measurement - Exercises - Exponential Arithmetic - Page 26: 16

Answer

(a) $$1.73 \times 10^{17} \mathrm{\ W}$$ ______________________________________________________________ (b) $$1 \times 10^{-7} \mathrm{m}$$ ______________________________________________________________ (c) $$142 \times 10^{-12} \mathrm{m}\quad or\quad 1.42 \times 10^{-10} \mathrm{m}$$ ______________________________________________________________ (d) $$1.6$$

Work Step by Step

(a) $$\text{173 thousand trillion watts}=173,000,000,000,000,000 \\ \mathrm{W}=1.73 \times 10^{17} \mathrm{\ W}$$ ______________________________________________________________ (b) $$\text{one ten millionth of a meter }=1 \div 10,000,000 \mathrm{\ m} \\ =1 \times 10^{-7} \mathrm{m}$$ ______________________________________________________________ (c) ($\text{trillionth =1}$ $\times 10^{-12} )$ hence, $$142 \times 10^{-12} \mathrm{m}\quad or\quad 1.42 \times 10^{-10} \mathrm{m}$$ ______________________________________________________________ (d) $$\frac{\left(5.07 \times 10^{4}\right) \times\left(1.8 \times 10^{-3}\right)^{2}}{0.065+\left(3.3 \times 10^{-2}\right)}=\frac{0.16}{0.098}=1.6$$
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