Chapter 25, Problem 71SCQ

### Chemistry & Chemical Reactivity

10th Edition
John C. Kotz + 3 others
ISBN: 9781337399074

Chapter
Section

### Chemistry & Chemical Reactivity

10th Edition
John C. Kotz + 3 others
ISBN: 9781337399074
Textbook Problem

# The average energy output of a good grade of coal is 2.6 × 107 kJ/ton. Fission of 1 mol of 235U releases 2.1 × 1010 kJ Find the number of tons of coal needed to produce the same energy as 1 lb of 235U. (See Appendix C for conversion factors.)

Interpretation Introduction

Interpretation: The number of tons of coal is equal to the energy of uranium.

Concept introduction:

Nuclear fission is the splitting of the nucleus of a radioactive atom into smaller nuclei. Huge quantity of energy is released during fission.

Conversion of pound to gram is as follows:

1lb=453.6g

Explanation

Given information is as follows:

Molar mass of U235 is 238.03â€‰g/mol

The average energy of coal is 2.6Ã—107â€‰kJ/ton.

Energy released by fission of 1 mole of U235 is 2.1Ã—1010kJ.

Energy released by 1â€‰â€‰lbU235 is calculated as

â€‚Â EnergyÂ releasedâ€‰=â€‰2.1Ã—1010kJ235â€‰g/molâ€‰Ã—â€‰453.6â€‰g1â€‰lbâ€‰=â€‰4.05â€‰Ã—â€‰1010â€‰kJ.

Energy obtained from of 1â€‰â€‰lbU235 is 4

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