Calculating Binding Energy for Hydrogen Positron Emission

In summary, the binding energy for hydrogen in kJ/mol through positron emission is approximately 2.61 x 10^9 kJ/mol. This was calculated using the equation E=Δmc^2, with the mass of the positrons being considered as well.
  • #1
burg25
12
0

Homework Statement


Find the binding energy for hydrogen in kJ/mol through positron emission.

4(11H) → 42He + 2(0+1ß)


Homework Equations


E=Δmc2
Mass of Hydrogen: 1.0079 amu
Mass of Helium: 4.0026 amu
1 amu = 1.6605 x 10-27kg


The Attempt at a Solution


Here is what I did:

Eb= ((number of protons)xmass hydrogen)-mass of helium)*1.6605x10-27kg/amu)*c^2
Eb = ((4*1.0079 - 4.0026) * 1.6605*10-27)*(2.998x108)2
Eb= 4.33x10-12 kg m2/s2 = 4.33x10-12 J
Eb = 4.33 x 10-15 kJ
Eb = 4.33 x 10-15 * 6.022 x1023
Eb = 2.61 x 109 kJ/mol
 
Physics news on Phys.org
  • #2
Haven't you neglected the mass of the 2 positrons?

In the equation, E=Δmc2, the Δm = mass of reactants - mass of all products (including positrons)
 
  • #3
Isn't a positron basically massless considering it would just have the mass of an electron or will it make a big difference?
 

1. What is binding energy for hydrogen?

Binding energy for hydrogen is the amount of energy required to break the bond between the proton and electron in a hydrogen atom, resulting in the atom becoming ionized (having a net charge of zero).

2. Why is binding energy important in hydrogen research?

Binding energy is important in hydrogen research because it helps us understand the stability and reactivity of hydrogen atoms and molecules. It also plays a crucial role in nuclear reactions involving hydrogen, such as fusion reactions in stars.

3. How is binding energy calculated for hydrogen?

Binding energy for hydrogen can be calculated using the formula E = hcR∞ / n2, where E is the energy, h is Planck's constant, c is the speed of light, R∞ is the Rydberg constant, and n is the principal quantum number.

4. What is the relationship between binding energy and mass defect in hydrogen?

Binding energy and mass defect are closely related in hydrogen. The mass defect is the difference in mass between a bound system (such as an atom) and its individual components (proton and electron). This difference is equal to the binding energy divided by the speed of light squared (E=mc2).

5. How does binding energy vary for different isotopes of hydrogen?

Binding energy can vary for different isotopes of hydrogen due to the presence of different numbers of neutrons in the nucleus. For example, deuterium (hydrogen-2) has a higher binding energy than protium (hydrogen-1) due to the stronger nuclear force holding the two protons and one neutron together.

Similar threads

Finding binding energy and converting into MeV
    • Introductory Physics Homework Help
Replies
5
Views
2K
What is the binding energy of H-1?
    • High Energy, Nuclear, Particle Physics
Replies
9
Views
2K
Finding binding energy from equilibrium bond length
    • Biology and Chemistry Homework Help
Replies
2
Views
4K
Electron and Proton Binding energy
    • Introductory Physics Homework Help
Replies
1
Views
2K
Gravitational potential energy, orbital speed, binding energy.
    • Introductory Physics Homework Help
Replies
4
Views
3K
The ionization energy of atomic hydrogen?
    • Biology and Chemistry Homework Help
Replies
2
Views
20K
Calculating Energy from Nuclear Reactions: A Step-by-Step Guide
    • Biology and Chemistry Homework Help
Replies
4
Views
2K
What is the Ionisation Energy of Hydrogen in KJ mol-1?
    • Biology and Chemistry Homework Help
Replies
8
Views
4K
Mass Defect of Hydrogen-2 Electron Binding Energy
    • Advanced Physics Homework Help
Replies
1
Views
5K
Molar binding energy of uranium-235 nuclei
    • Introductory Physics Homework Help
Replies
4
Views
3K

Hot Threads

Recent Insights

Back
Top