Chemistry: Molecular Approach (4th Edition)

Published by Pearson
ISBN 10: 0134112830
ISBN 13: 978-0-13411-283-1

Chapter 2 - Exercises: 124

Answer

2.84 ft

Work Step by Step

find total volume of 1 mol sand grain and divide by area of TX to get height. Pay attention to Units: volume of 1 sand grain= (0.10mm)^3= 1.0 x 10^-3 mm3 1 mole =6.023 x 10^23 Total volume of sand = (6.023 x10^23) x(1.0 x10^-3 mm3) = 6.023 x10^20 mm3 convert to ft: 1inch=25.4 mm so 12in (1 ft) = 12 x 25.4 mm = 304.8 mm Express volume of sand in ft3 (6.023 x10^20 mm3) x ((1 ft)^3)/((304.8mm)^3) = 2.127 x10^13 ft3 convert miles to ft -- 1 mile =5280 ft finally divide volume of sand by area: Height = ((2.127 x 10^13 ft3)/(268,601 miles^2)) *((1 mile^2)/(5280^2 ft2)) Height =2.84 ft
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