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 - Challenge Questions - Page 285: 7.153

Answer

a. 0.900 mole of $O_2$ b. 18.0 g of $H_2O$ c. 257 g of $CO_2$ d. Percent yield of carbon dioxide: 72.4 %

Work Step by Step

a. $$ 0.225 \space mole \space C_3H_4 \times \frac{ 4 \space moles \ O_2 }{ 1 \space mole \space C_3H_4 } = 0.900 \space mole \space O_2 $$ b. $ O_2 $ : ( 16.00 $\times$ 2 )= 32.00 g/mol $$ \frac{1 \space mole \space O_2 }{ 32.00 \space g \space O_2 } \space and \space \frac{ 32.00 \space g \space O_2 }{1 \space mole \space O_2 }$$ $ H_2O $ : ( 1.008 $\times$ 2 )+ ( 16.00 $\times$ 1 )= 18.02 g/mol $$ \frac{1 \space mole \space H_2O }{ 18.02 \space g \space H_2O } \space and \space \frac{ 18.02 \space g \space H_2O }{1 \space mole \space H_2O }$$ $$ 64.0 \space g \space O_2 \times \frac{1 \space mole \space O_2 }{ 32.00 \space g \space O_2 } \times \frac{ 2 \space moles \space H_2O }{ 4 \space moles \space O_2 } \times \frac{ 18.02 \space g \space H_2O }{1 \space mole \space H_2O } = 18.0 \space g \space H_2O $$ c. $ C_3H_4 $ : ( 1.008 $\times$ 4 )+ ( 12.01 $\times$ 3 )= 40.06 g/mol $$ \frac{1 \space mole \space C_3H_4 }{ 40.06 \space g \space C_3H_4 } \space and \space \frac{ 40.06 \space g \space C_3H_4 }{1 \space mole \space C_3H_4 }$$ $ CO_2 $ : ( 12.01 $\times$ 1 )+ ( 16.00 $\times$ 2 )= 44.01 g/mol $$ \frac{1 \space mole \space CO_2 }{ 44.01 \space g \space CO_2 } \space and \space \frac{ 44.01 \space g \space CO_2 }{1 \space mole \space CO_2 }$$ $$ 78.0 \space g \space C_3H_4 \times \frac{1 \space mole \space C_3H_4 }{ 40.06 \space g \space C_3H_4 } \times \frac{ 3 \space moles \space CO_2 }{ 1 \space mole \space C_3H_4 } \times \frac{ 44.01 \space g \space CO_2 }{1 \space mole \space CO_2 } = 257 \space g \space CO_2 $$ d. $$percent \space yield = \frac{186 \space g \space CO_2}{257 \space g \space CO_2} \times 100\% = 72.4\%$$
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