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f one alpha particle and two beta particles are emitted, what is the atomic mass number of the newly produced element?

Question

f one alpha particle and two beta particles are emitted, what is the atomic mass number of the newly produced element?

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Solution

To answer this question, we need to understand what happens when alpha and beta particles are emitted.

  1. Alpha Decay: An alpha particle is composed of 2 protons and 2 neutrons. So, when an alpha particle is emitted, the atomic number decreases by 2 (due to the loss of 2 protons) and the atomic mass number decreases by 4 (due to the loss of 2 protons and 2 neutrons).

  2. Beta Decay: A beta particle is an electron. When a beta particle is emitted, a neutron in the nucleus is converted into a proton. This increases the atomic number by 1 (due to the gain of a proton) but the atomic mass number remains the same (since a neutron is lost and a proton is gained).

Given that one alpha particle and two beta particles are emitted, the atomic number of the newly produced element will be the original atomic number minus 2 (from the alpha decay) plus 2 (from the two beta decays), which means the atomic number remains the same.

The atomic mass number of the newly produced element will be the original atomic mass number minus 4 (from the alpha decay), as the beta decay does not affect the atomic mass number.

So, the atomic mass number of the newly produced element will be the original atomic mass number minus 4.

This problem has been solved

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