General, Organic, and Biological Chemistry: Structures of Life (5th Edition)

Published by Pearson
ISBN 10: 0321967461
ISBN 13: 978-0-32196-746-6

Chapter 7 - Chemical Reactions and Quantities - 7.4 The Mole - Questions and Problems - Page 255: 7.34

Answer

a. 9.0 moles S b. 0.80 mole $Al^{3+}$ c. 4.5 moles $SO_4^{2-}$

Work Step by Step

a. Each $ Al_2(SO_4)_3 $ has 3 S atoms, thus:$$ 3.0 \space moles \space Al_2(SO_4)_3 \times \frac{ 3 \space moles \ S }{1 \space mole \space Al_2(SO_4)_3 } = 9.0 \space moles \space S $$ b. Each $ Al_2(SO_4)_3 $ has 2 $Al^{3+}$ ions, thus:$$ 0.40 \space mole \space Al_2(SO_4)_3 \times \frac{ 2 \space moles \ Al^{3+} }{1 \space mole \space Al_2(SO_4)_3 } = 0.80 \space mole \space Al^{3+} $$ c. - Each $ Al_2(SO_4)_3 $ has 3 $SO_4^{2-}$ ions, thus:$$ 1.5 \space moles \space Al_2(SO_4)_3 \times \frac{ 3 \space moles \ SO_4^{2-} }{1 \space mole \space Al_2(SO_4)_3 } = 4.5 \space moles \space SO_4^{2-} $$
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