Calculating Kinetic Energy Q for CA-41 Electron Capture

[aliaze1]

Homework Statement

calculate the kinetic energy Q for CA-41 via electron capture

Homework Equations

Q = (m_parent-m_daughter)*c²

The Attempt at a Solution

CA 41 has 20 protons and 21 neutrons, so will it become K with 19 protons and 22 neutrons?

(the book also stated that the daughter nucleus can be heavier than the parent in the case of electron capture)

just want to make sure i am on the right track, the calculation is straightforward assuming it is set up correctly

 

[Jhero]

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Hello! I can confirm that your approach to calculating the kinetic energy Q for CA-41 via electron capture is correct. The formula you have used, Q = (mparent-mdaughter)*c2, is the correct equation to use in this case.

To answer your question, yes, CA-41 will become K with 19 protons and 22 neutrons after electron capture. This is because during electron capture, a proton in the nucleus combines with an electron, resulting in the formation of a neutron. This changes the atomic number of the nucleus, but not the mass number.

It is also true that the daughter nucleus can be heavier than the parent in the case of electron capture. This is because, in addition to the change in atomic number, there can also be a small amount of mass added to the nucleus due to the energy released during the process. However, this change in mass is very small and can be neglected in most cases.

Overall, your understanding and approach to this problem are correct. Keep up the good work!