General Chemistry 10th Edition

Published by Cengage Learning
ISBN 10: 1-28505-137-8
ISBN 13: 978-1-28505-137-6

Chapter 1 - Chemistry and Measurement - Questions and Problems - Page 38: 1.139

Answer

2.75 x $10^{4}$ L

Work Step by Step

First we convert the room dimensions from feet to meter. Next calculate the volume in cubic meters and after that we convert cubic meters to liters. Room dimensions: 10.0 ft = 10.0 ft x $\frac{1 m}{3.3 ft}$ = 3.03 m 11.0 ft = 11 ft x $\frac{1 m}{3.3 ft}$ = 3.33 m 9.0 ft =9 ft x $\frac{1 m}{3.3 ft}$ = 2.73 m Room volume: V = length x width x height V = 3.03 m x 3.33 m x 2.73 m V = 27.55 $m^{3}$ Now convert 27.55 $m^{3}$ to L 27.55 $m^{3}$ = 27.55 $m^{3}$ x $\frac{10^{3}L}{1m^{3}}$ So the volume is 27.55 x $10^{3}$ L or 2.75 x $10^{4}$ L
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