What is the Q-value of the β- decay of Ni-65?

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In summary, the Q-value of β-decay is the energy released during the process of beta decay, calculated using the equation Q = (Mparent - Mdaughter - Mparticle) c^2, and can be affected by factors such as the masses of the parent and daughter nuclei, nuclear binding energy, and spin of particles involved. It is directly related to the stability of a nucleus, with a higher Q-value indicating a more unstable nucleus. Additionally, the Q-value can be used to identify specific isotopes by comparing measured values to known values.
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richphys
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Homework Statement



Using the atomic masses of 65Ni and 65Cu, calculate the Q-value of the β- decay of 65Ni (in MeV).
Answer = c) 2.14 MeV

Homework Equations



65Ni -> 65Cu + e-

The Attempt at a Solution



64.9308 -> 64.9277 + 0.0005485
Products - Reactants
-0.0025515 * 931.5 = 2.3767

My answer is in the same ball park but not correct. Are my equations correct?
 
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  • #3
Please put units into your attempt.
 
  • #4
Also, assuming your masses are in atomic mass units, you have used the wrong mass for Ni-65.
 

1. What is the Q-value of β-decay?

The Q-value of β-decay is the energy released during the process of beta decay. It represents the difference in the total mass of the parent nucleus and the combined masses of the daughter nucleus and emitted particles, such as electrons or positrons.

2. How is the Q-value of β-decay calculated?

The Q-value of β-decay is calculated using the equation Q = (Mparent - Mdaughter - Mparticle) c^2, where M represents the mass of each particle and c is the speed of light. This equation is based on the law of conservation of energy and mass.

3. What factors affect the Q-value of β-decay?

The Q-value of β-decay can be affected by the masses of the parent and daughter nuclei, as well as the masses of any particles emitted during the decay. It can also be influenced by the nuclear binding energy and the spin of the particles involved.

4. How does the Q-value of β-decay relate to the stability of a nucleus?

The Q-value of β-decay is directly related to the stability of a nucleus. A higher Q-value indicates a more unstable nucleus, as it has a greater energy release during decay. This can result in a shorter half-life for the nucleus.

5. Can the Q-value of β-decay be used to identify isotopes?

Yes, the Q-value of β-decay can be used to identify specific isotopes. Each isotope has a unique Q-value, which can be measured and compared to known values to determine the identity of the isotope. This is a useful tool in nuclear physics and chemistry.

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