Sustainable Energy
Sustainable Energy
2nd Edition
ISBN: 9781337551663
Author: DUNLAP, Richard A.
Publisher: Cengage,
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Chapter 6, Problem 1P
To determine

Find the mass of 235U atom.

Expert Solution & Answer
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Answer to Problem 1P

The mass of 235U atom is 4.2×104kg_.

Explanation of Solution

Refer Appendix V “Energy Content of Fuels” in the textbook,

The thermal energy content of one tonne of coal is 3.10×1010J.

Consider the energy per fission for 235U is 180 MeV.

Convert the energy per fission MeV into Joules.

180MeV=180MeV×1.6×1013JMeV=2.88×1011J

Find the number of fissions required to produce the same energy as one tonne of coal.

Number of fissions=Thermal energy content of one tonne of coalThe energy perfission=3.10×1010J2.88×1011J=1.08×1021fissions

Find the mass of 235U atom using the relation:

Mass of235U atom=(Number of fissions6.02×1023mol1)×(235g/mol1,000g/kg)=(1.08×1021fissions6.02×1023mol1)×(235g/mol1,000g/kg)=4.2×104kg

Thus, the mass of 235U atom is 4.2×104kg_.

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