Chemistry 10th Edition

Published by Brooks/Cole Publishing Co.
ISBN 10: 1133610668
ISBN 13: 978-1-13361-066-3

Chapter 1 - The Foundations of Chemistry - Exercises - Conceptual Exercises - Page 42: 94

Answer

Since density ($=8.92 g/mL$) has only 3 significant figures, the answer can only have 3 significant figures $V=5.97 cm^{3}$ And the first uncertain digit is $7$

Work Step by Step

The number of significant figures in the answer is set by the value with the least number of significant figures in question. Since density ($=8.92 g/mL$) has only 3 significant figures, the answer can only have 3 significant figures $V=5.97 cm^{3}$ And the first uncertain digit is $7$ If the value of density is rounded from $8.924g/cm^{3}$ the value of volume will change to $\frac{53.275}{8.924}\approx5.9699cm^{3}$ the value of $7$ will change to $6$ . So, $7$ is the first uncertain digit.
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