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 - 7.9 Energy in Chemical Reactions - Questions and Problems - Page 274: 7.95

Answer

a. Endothermic b. 12.3 g of glucose $(C_6H_{12}O_6)$ c. 390 kJ is needed to produce 25.0 g of glucose.

Work Step by Step

a. Since the energy is in the reactants side of the reaction, it is an endothermic reaction. b. $ CO_2 $ : ( 12.01 $\times$ 1 )+ ( 16.00 $\times$ 2 )= 44.01 g/mol $$ \frac{1 \space mole \space CO_2 }{ 44.01 \space g \space CO_2 } \space and \space \frac{ 44.01 \space g \space CO_2 }{1 \space mole \space CO_2 }$$ $ C_6H_{12}O_6 $ : ( 1.008 $\times$ 12 )+ ( 12.01 $\times$ 6 )+ ( 16.00 $\times$ 6 )= 180.16 g/mol $$ \frac{1 \space mole \space C_6H_{12}O_6 }{ 180.16 \space g \space C_6H_{12}O_6 } \space and \space \frac{ 180.16 \space g \space C_6H_{12}O_6 }{1 \space mole \space C_6H_{12}O_6 }$$ $$ 18.0 \space g \space CO_2 \times \frac{1 \space mole \space CO_2 }{ 44.01 \space g \space CO_2 } \times \frac{ 1 \space mole \space C_6H_{12}O_6 }{ 6 \space moles \space CO_2 } \times \frac{ 180.16 \space g \space C_6H_{12}O_6 }{1 \space mole \space C_6H_{12}O_6 } = 12.3 \space g \space C_6H_{12}O_6 $$ c. - Find the conversion factors: $ C_6H_{12}O_6 $ : ( 1.008 $\times$ 12 )+ ( 12.01 $\times$ 6 )+ ( 16.00 $\times$ 6 )= 180.16 g/mol $$ \frac{1 \space mole \space C_6H_{12}O_6 }{ 180.16 \space g \space C_6H_{12}O_6 } \space and \space \frac{ 180.16 \space g \space C_6H_{12}O_6 }{1 \space mole \space C_6H_{12}O_6 }$$ According to the balanced equation: $$ \frac{ 1 \space mole \space C_6H_{12}O_6 }{ 680 \space kcal} \space and \space \frac{ 680 \space kcal}{ 1 \space mole \space C_6H_{12}O_6 }$$ And finally, since the question requires a result in kJ: $$\frac{4.184 \space kJ}{1 \space kcal} and \frac{1 \space kcal}{4.184 \space kJ}$$ - Find the total energy using these conversion factors: $$ 25.0 \space g \space C_6H_{12}O_6 \times \frac{1 \space mole \space C_6H_{12}O_6 }{ 180.16 \space g \space C_6H_{12}O_6 } \times \frac{ 680 \space kcal}{ 1 \space mole \space C_6H_{12}O_6 } \times \frac{4.184 \space kJ}{1 \space kcal} = 390 \space kJ$$
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