Fundamentals of Physics Extended (10th Edition)

Published by Wiley
ISBN 10: 1-11823-072-8
ISBN 13: 978-1-11823-072-5

Chapter 43 - Energy from the Nucleus - Problems - Page 1333: 47a

Answer

4.11 eV/atom

Work Step by Step

According to the question, the reaction releases $3.3 \times 10^{7}$ J energy when 1kg of atomic carbon is used in the reaction. We can find the number of carbon atoms present in 1 kg of atomic carbon. The mass of a carbon atom is $(12.0 \mathrm{u})\left(1.661 \times 10^{-27} \mathrm{kg} / \mathrm{u}\right)=1.99 \times 10^{-26} \mathrm{kg}$ $\therefore$ Number of carbon atoms in $1.00 \mathrm{kg}$ of carbon is $$ (1.00 \mathrm{kg}) /\left(1.99 \times 10^{-26} \mathrm{kg}\right)=5.02 \times 10^{25} atoms $$ The heat of combustion per atom is $$ \left(3.3 \times 10^{7} \mathrm{J} / \mathrm{kg}\right) /\left(5.02 \times 10^{25} \mathrm{atom} / \mathrm{kg}\right)=6.58 \times 10^{-19} \mathrm{J} / \mathrm{atom} $$ This is 4.11 eV/atom.
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