Chemistry 10th Edition

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

Chapter 2 - Chemical Formulas and Composition Stoichiometrhy - Exercises - Conceptual Exercises - Page 78: 101

Answer

The new and old values for Avogadro's number are the same up to 7 significant digits; both are equal to 6.022141 x 10^23, but differ in the next digit. The uncertainty only has 2 significant digits (1.5 ×10^17). If the uncertainty were subtracted from 6.0221415 x 10^23, the result would be 6.0221414 x 10^23, so with the uncertainty, the two numbers are the same to 7 significant digits (6.0221415 x 10^23 and 602,214,141,070,409,084,099,072

Work Step by Step

The new and old values for Avogadro's number are the same up to 7 significant digits; both are equal to 6.022141 x 10^23, but differ in the next digit. The uncertainty only has 2 significant digits (1.5 ×10^17). If the uncertainty were subtracted from 6.0221415 x 10^23, the result would be 6.0221414 x 10^23, so with the uncertainty, the two numbers are the same to 7 significant digits (6.0221415 x 10^23 and 602,214,141,070,409,084,099,072
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