Glencoe Physical Science 2012 Student Edition (Glencoe Science) (McGraw-Hill Education)
Glencoe Physical Science 2012 Student Edition (Glencoe Science) (McGraw-Hill Education)
1st Edition
ISBN: 9780078945830
Author: Charles William McLaughlin, Marilyn Thompson, Dinah Zike
Publisher: Glencoe Mcgraw-Hill
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Chapter 20.2, Problem 12R
To determine

The number of nuclei which would have been split after the fifth step in a chain reaction which involves splitting of one nucleus into two in each step.

Expert Solution & Answer
Check Mark

Answer to Problem 12R

31

Explanation of Solution

Introduction:

As it is given in question, one nucleus will split into two in its first step and each nuclei split in two in further steps.

  • Total number of nuclei split after first step = 1
  • Then there are 2 more nuclei which will split again.
  • Total number of nuclei split after second step = 3
  • Then there are 4 more nuclei which will split again.
  • Total number of nuclei split after third step = 7
  • Then there are 8 more nuclei which will split again.
  • Total number of nuclei split after fourth step =15
  • Then there are 16 more nuclei which will split again.
  • Total number of nuclei split after fifth step = 31

Conclusion:

Thus,31nuclei will have been split after the fifth step in a chain reaction.

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