General, Organic, & Biological Chemistry 3rd Edition

Published by McGraw-Hill Education
ISBN 10: 0-07351-124-2
ISBN 13: 978-0-07351-124-5

Chapter 2 - Atoms and the Periodic Table - Problems - Page 47: 2.16

Answer

a) $24.30\text{ amu}$ b) $50.94\text{ amu}$

Work Step by Step

To calculate the atomic weight of an element, we use the weighted average of its isotopes: Atomic Weight =∑(Isotopic Mass × Fractional Abundance) a) Magnesium Atomic Weight $=(23.99\times0.7899)+(24.99\times0.1000)+(25.98\times0.1101)$ $=18.94+2.50+2.86$ $=24.30\text{ amu}$ b) Vanadium Atomic Weight = $(49.95\times 0.00250)+(50.94\times 0.99750)$ $=0.125+50.81$ $=50.94\text{ amu}$
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