Chemistry: The Central Science (13th Edition)

Published by Prentice Hall
ISBN 10: 0321910419
ISBN 13: 978-0-32191-041-7

Chapter 1 - Introduction: Matter and Measurement - Exercises - Page 37: 1.55



Work Step by Step

First, calculate the volume of the room in cubic feet: $V=14.5 ft*16.5 ft*8 ft=1914 ft^3$ Now, the rest of this problem can be solved using dimensional analysis. After using the standard conversion from cubic feet into liters, the units of $ft^3$ cancel out, leaving the answer in liters. $(1914 ft^3)*(28.317 L/ft^3)=5.4198738*10^4 L$ Then, using the density of air in grams per liter, the units cancel, leaving the answer in grams. $(5.4198738*10^4 L)*(1.19 g/ L)=6.4496498*10^4 g \approx 64kg$
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