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 - 7.8 Limiting Reactants and Percent Yield - Questions and Problems - Page 271: 7.86

Answer

The percent yield of calcium nitride for this reaction is equal to 46.4 %

Work Step by Step

$ Ca $ : 40.08 g/mol $$ \frac{1 \space mole \space Ca }{ 40.08 \space g \space Ca } \space and \space \frac{ 40.08 \space g \space Ca }{1 \space mole \space Ca }$$ $ Ca_3N_2 $ : ( 40.08 $\times$ 3 )+ ( 14.01 $\times$ 2 )= 148.26 g/mol $$ \frac{1 \space mole \space Ca_3N_2 }{ 148.26 \space g \space Ca_3N_2 } \space and \space \frac{ 148.26 \space g \space Ca_3N_2 }{1 \space mole \space Ca_3N_2 }$$ $$ 56.6 \space g \space Ca \times \frac{1 \space mole \space Ca }{ 40.08 \space g \space Ca } \times \frac{ 1 \space mole \space Ca_3N_2 }{ 3 \space moles \space Ca } \times \frac{ 148.26 \space g \space Ca_3N_2 }{1 \space mole \space Ca_3N_2 } = 69.8 \space g \space Ca_3N_2 $$ Calculation of percent yield: $$\frac{ 32.4 \space g \space Ca_3N_2 }{ 69.8 \space g \space Ca_3N_2 } \times 100\% = 46.4 \%$$
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