To address the question of identifying the correct Bohr model for the isotope [tex]\(_{14}^{28} \text{Si}\)[/tex], let's analyze the necessary details step by step.
### Step-by-Step Solution:
1. Identify the Atomic Number and Mass Number:
- The atomic number (Z) is 14.
- The mass number (A) is 28.
2. Determine the Number of Protons:
- The number of protons in an atom is equal to the atomic number.
- Therefore, the number of protons is 14.
3. Determine the Number of Neutrons:
- The number of neutrons is calculated by subtracting the atomic number from the mass number.
- Number of neutrons = Mass number - Atomic number = 28 - 14.
- Therefore, the number of neutrons is 14.
4. Determine the Number of Electrons:
- In a neutral atom, the number of electrons is equal to the number of protons.
- Therefore, the number of electrons is also 14.
5. Distribute the Electrons in Shells:
- According to the Bohr model, electrons are arranged in discrete energy levels or shells.
- The first shell can hold up to 2 electrons.
- The second shell can hold up to 8 electrons.
- The third shell can hold the remaining electrons (since Silicon has a small number of electrons).
- For silicon (Si), with 14 electrons, the distribution in shells is:
- First shell: 2 electrons,
- Second shell: 8 electrons,
- Third shell: 4 electrons.
### Summary:
- Protons: 14
- Neutrons: 14
- Electrons: 14
- Electron Distribution in Shells: [2, 8, 4]
### Conclusion:
The correct Bohr model for the isotope [tex]\(_{14}^{28} \text{Si}\)[/tex] involves 14 protons, 14 neutrons, and 14 electrons, with an electron distribution in the shells as [2, 8, 4]. Therefore, the details and distribution are as follows:
- First shell: 2 electrons,
- Second shell: 8 electrons,
- Third shell: 4 electrons.
These distributions map out the correct Bohr model for the isotope [tex]\(_{14}^{28} \text{Si}\)[/tex].
