Chemistry: An Introduction to General, Organic, and Biological Chemistry (12th Edition)

Published by Prentice Hall
ISBN 10: 0321908449
ISBN 13: 978-0-32190-844-5

Chapter 2 - Section 2.7 - Density - Challenge Questions - Page 54: 2.93

Answer

$$0.141 \space mm$$

Work Step by Step

1. Calculate the volume of each wafer: $$density = \frac{mass}{volume} \longrightarrow volume = \frac{mass}{density}$$ $$V_{wafer} = \frac{1.50 \space g}{2.33 \space g/cm^3} = 0.644 \space cm^3$$ 2. Find the height (h) of the cylinder. Remember to convert the diameter to centimeters. $$r = \frac{d}{2} = \frac{3.00 \space in.}{2} = 1.50 \space in.$$ $$r = 1.50 \space in. \times \frac{2.54 \space cm}{1 \space in.} = 3.81 \space cm$$ $$V = \pi r^2 h$$ $$(0.644 \space cm^3) = \pi (3.81 \space cm)^2 h$$ $$\frac{0.644 \space cm^3}{(3.81 \space cm)^2 (\pi)} = h$$ $$h = 0.0141 \space cm$$ $$h = 0.0141 \space cm \times \frac{10 \space mm}{1 \space cm} = 0.141 \space mm$$
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