Chemistry: A Molecular Approach (3rd Edition)

Published by Prentice Hall
ISBN 10: 0321809246
ISBN 13: 978-0-32180-924-7

Chapter 3 - Sections 3.1-3.12 - Exercises - Problems by Topic - Page 133: 90

Answer

$C_{3}H_{4}O_{3}$

Work Step by Step

In the 100g sample of ascorbic acid, 40.92g carbon, 4.58g hydrogen and 54.50g oxygen are present. Moles of C=$\frac{40.92g}{12.01g/mol}=3.41\,mol$ Moles of H=$\frac{4.58g}{1.008g/mol}=4.54\,mol$ Moles of O=$\frac{54.50g}{15.999g/mol}=3.41\,mol$ Since 3.41 is the smallest value, division by it gives a ratio of 1:1.33:1 for C:H:O. Multiplying by 3, we get the ratio in whole numbers. That is, the ratio is 3:4:3 for C:H:O. We obtain the empirical formula by mentioning the numbers in the ratio after writing the respective symbols. Thus, the empirical formula is $C_{3}H_{4}O_{3}$
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