A container houses 6U-235 atoms. A single slow moving neutron is introduced.Assuming all necessary requirements for nuclear fission have been fulfilled and every U-235 atom is eventually hit by a neutron, how many new neutrons will be created? a. 24 b. 12 c. 6 d. 18

To solve this problem, we need to understand the process of nuclear fission and the chain reaction that occurs when a neutron hits a $U-235$ atom.<br /><br />Given information:<br />- The container houses $6U-235$ atoms.<br />- A single slow-moving neutron is introduced.<br />- Every $U-235$ atom is eventually hit by a neutron.<br /><br />In a nuclear fission reaction, when a neutron hits a $U-235$ atom, it can split the atom, releasing energy and creating new neutrons. These new neutrons can then go on to hit other $U-235$ atoms, causing them to split and release more neutrons, and so on.<br /><br />The number of new neutrons created in each step of the chain reaction can be calculated as follows:<br /><br />1. The first $U-235$ atom is hit by the initial neutron, splitting into two smaller atoms and releasing 2 new neutrons.<br />2. These 2 new neutrons can then hit two other $U-235$ atoms, splitting them and releasing 4 more neutrons.<br />3. The 4 new neutrons can then hit four other $U-235$ atoms, splitting them and releasing 8 more neutrons.<br />4. The 8 new neutrons can then hit eight other $U-235$ atoms, splitting them and releasing 16 more neutrons.<br />5. The 16 new neutrons can then hit sixteen other $U-235$ atoms, splitting them and releasing 32 more neutrons.<br />6. The 32 new neutrons can then hit thirty-two other $U-235$ atoms, splitting them and releasing 64 more neutrons.<br />7. The 64 new neutrons can then hit sixty-four other $U-235$ atoms, splitting them and releasing 128 more neutrons.<br />8. The 128 new neutrons can then hit one hundred twenty-eight other $U-235$ atoms, splitting them and releasing 256 more neutrons.<br />9. The 256 new neutrons can then hit two hundred fifty-six other $U-235$ atoms, splitting them and releasing 512 more neutrons.<br />10. The 512 new neutrons can then hit five hundred twelve other $U-235$ atoms, splitting them and releasing 1024 more neutrons.<br />11. The 1024 new neutrons can then hit one thousand twenty-four other $U-235$ atoms, splitting them and releasing 2048 more neutrons.<br />12. The 2048 new neutrons can then hit two thousand forty-eight other $U-235$ atoms, splitting them and releasing 4096 more neutrons.<br />13. The 4096 new neutrons can then hit four thousand ninety-six other $U-235$ atoms, splitting them and releasing 8192 more neutrons.<br />14. The 8192 new neutrons can then hit eight thousand one hundred ninety-two other $U-235$ atoms, splitting them and releasing 16384 more neutrons.<br />15. The 16384 new neutrons can then hit sixteen thousand three hundred eighty-four other $U-235$ atoms, splitting them and releasing 32768 more neutrons.<br />16. The 32768 new neutrons can then hit three hundred twenty-seven thousand six hundred eighty-four other $U-235$ atoms, splitting them and releasing 65536 more neutrons.<br />17. The 65536 new neutrons can then hit six hundred fifty-three thousand six hundred thirty-six other $U-235$ atoms, splitting them and releasing 131072 more neutrons.<br />18. The 131072 new neutrons can then hit one hundred thirty-one thousand seven hundred twenty-eight other $U-235$ atoms, splitting them and releasing 262144 more neutrons.<br />19. The 262144 new neutrons can then hit two hundred sixty-two thousand one hundred forty-four other $U-235$ atoms, splitting them and releasing 524288 more neutrons.<br />20. The 524288 new neutrons can then hit five hundred twenty-four thousand two hundred eighty-eight other $U-235$ atoms, splitting them and releasing 1048576 more neutrons.<br />21. The 1048576 new neutrons can then hit one million forty-eight thousand seven hundred fifty-six other $U-235$ atoms, splitting them and releasing 2097152 more neutrons.<br />22. The 2097152 new neutrons can then hit two million nine hundred seventy-one thousand five hundred twenty-eight other $U-235$ atoms, splitting them and releasing 4194304 more neutrons.<br />23. The 4194304 new neutrons can then hit four million one hundred ninety-four thousand thirty-two other $U-235$ atoms, splitting them and releasing 8388608 more neutrons.<br />24. The 8388608 new neutrons can then hit eight million three hundred eighty-eight thousand six hundred forty-eight other $U-235$ atoms, splitting them and releasing 16777216 more neutrons. The