Nuclear Equation, not sure it its right

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Discussion Overview

The discussion revolves around writing a balanced nuclear equation for the bombardment of curium-246 with carbon-12, aiming to produce four neutrons and another nucleus. It involves concepts of nuclear reactions, conservation laws, and the correct representation of particles in nuclear equations.

Discussion Character

  • Homework-related
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant proposes the equation (246 96)Cm + (12 6)C => (246 102)No + 4(1 0)n as a potential solution.
  • Another participant challenges this by stating the need to conserve both mass number and atomic number, suggesting that the neutron should be represented as (1,1)n.
  • A subsequent participant presents two alternative equations: (246 96)Cm + (12 6)C => (254 102)No + 4(1 0)n and (246 96)Cm + (12 6)C => (254 98)No + 4(1 1)n, expressing uncertainty about the correct representation of neutrons.
  • One participant asserts that the second equation is correct, arguing against the first by highlighting issues with mass conservation and referencing the concept of mass defect and energy conversion as described by Einstein's equation E=mc^2.
  • A participant acknowledges a mistake regarding the representation of a proton, clarifying that a proton is (1,1)p.

Areas of Agreement / Disagreement

Participants express disagreement regarding the correct balanced nuclear equation, with multiple competing views on how to represent the reaction and the particles involved. The discussion remains unresolved as no consensus is reached on the correct equation.

Contextual Notes

There are limitations in the discussion regarding the assumptions made about the representation of neutrons and the conservation of mass and atomic numbers. The participants do not provide definitive examples or solutions from textbooks, which may affect the clarity of the discussion.

linuxux
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Homework Statement



Write a balanced nuclear equation for the bombardment of curium-246, (246 96)Cm, with carbon-12 to produce four neutrons and another nucleus.

Homework Equations



conservation

The Attempt at a Solution



So this is what i got,
(246 96)Cm + (12 6)C => (246 102)No + 4(1 0)n
is this right?
 
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No. Thats not it. You have to conserve the mass number and the atomic number on both sides. For a neutron, its (1,1)n. So, sum up the mass numbers on the left side of the equation and the total mass of the know quantities on the right, and subtract them to get the mass of the atom produced.

Similarly, conserve the atomic number on both sides to get the atomic number of the nucleus produced to get your equation.
 
is it this? 1) (246 96)Cm + (12 6)C => (254 102)No + 4(1 0)n

or this?,

2) (246 96)Cm + (12 6)C => (254 98)No + 4(1 1)n

i don't have an example where the neutron is (1 1)n either, is it possible to have both a (1 0)n and (1 1)n neutron?

id think the first one, 1), looks like the right solution, but the textbook I am using has no solutions in it, so i have no idea if I am right or not.
 
Last edited:
The second one is the right solution. Think about it. How can mass suddenly appear on the right side as it did in the first equation?

In fact, if you take actual masses (not just the whole numbers, but the decimals as well), you'll see that there is a mass defect, or mass difference between the two sides of the equation. This is converted into energy given quantitatively by Einstiens equation E=mc^2.

And youre right about the (1,0)n. I made a mistake. Sorry. A proton is (1,1)p.
 

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