Calculating Neutron Binding Energy in 13-C

In summary, the binding energy of a neutron is the energy required to break apart a nucleus. It is measured by comparing the mass of an isolated neutron to that of an unbound neutron using a mass spectrometer. This quantity is important for understanding the stability and strength of a nucleus and plays a crucial role in nuclear reactions. The binding energy also varies among different elements due to the number of protons and neutrons in the nucleus and the distance between them.
  • #1
MeKnos
16
0

Homework Statement


Calculate the binding energy of a neutron in 13-C.


Homework Equations


mass defect= (Z*mp) + (N*mn) - (mc13)
B = mass defect * conversion factor
B/(Z+N) = Binding Energy per Neutron

I wasn't given any values for the numbers, so I wiki'd them.


The Attempt at a Solution



B= 6(1.0078) + 7(1.0087) - 13.0033 = .1044
B= .1044 * (931.49) = 97.2 MeV
B/13 = 7.49 MeV

thats wrong, and so is B/7=13.89 MeV
 
Physics news on Phys.org
  • #2
Anyone?
 
  • #3
What do you mean by13-C?
 
  • #4
Carbon 13
 
  • #5
nevermind, i figured it out by myself
 

Related to Calculating Neutron Binding Energy in 13-C

1. What is binding energy of a neutron?

The binding energy of a neutron is the amount of energy required to break apart a nucleus into its constituent parts, specifically the amount of energy required to separate a neutron from the nucleus.

2. How is binding energy of a neutron measured?

Binding energy of a neutron is measured by using a mass spectrometer to determine the mass of an isolated neutron and comparing it to the mass of an unbound neutron. The difference in mass is converted into energy using Einstein's famous equation E=mc^2.

3. Why is binding energy of a neutron important?

Binding energy of a neutron is important because it is a key factor in determining the stability and strength of a nucleus. It also plays a crucial role in nuclear reactions and nuclear power.

4. How does binding energy of a neutron relate to nuclear fusion and fission?

The binding energy of a neutron is essential in both nuclear fusion and fission reactions. In fusion, the combining of nuclei releases a large amount of energy due to the increase in binding energy per nucleon. In fission, breaking apart a heavy nucleus releases energy due to the decrease in binding energy per nucleon.

5. Does binding energy of a neutron vary among different elements?

Yes, the binding energy of a neutron can vary among different elements. This is because the number of protons and neutrons in a nucleus affects the strength of the strong nuclear force that holds the nucleus together. Additionally, the distance between the nucleons can also impact the binding energy.

Similar threads

  • Introductory Physics Homework Help
Replies
16
Views
1K
  • Introductory Physics Homework Help
Replies
5
Views
2K
  • Introductory Physics Homework Help
Replies
5
Views
1K
  • Introductory Physics Homework Help
Replies
1
Views
753
  • Introductory Physics Homework Help
Replies
4
Views
2K
  • Introductory Physics Homework Help
Replies
1
Views
847
  • Mechanics
Replies
3
Views
9K
  • Introductory Physics Homework Help
Replies
1
Views
6K
Replies
1
Views
896
  • Introductory Physics Homework Help
Replies
2
Views
5K
Back
Top