Understanding Atomic Notation
To solve for the number of subatomic particles in any given ion, we first need to understand the notation used in chemistry, represented as $^A_Z X^q$:
- $X$: The chemical symbol (e.g., Al for Aluminum).
- $Z$ (Atomic Number): The subscript at the bottom left. This represents the number of protons in the nucleus and defines the element.
- $A$ (Mass Number): The superscript at the top left. This is the sum of protons and neutrons in the nucleus ($A = \text{protons} + \text{neutrons}$).
- $q$ (Charge): The superscript on the right. This indicates if electrons have been lost (positive charge) or gained (negative charge).
In the symbol $^{27}_{13} \text{Al}^{3+}$:
- $A = 27$
- $Z = 13$
- Charge = $+3$
Step-by-Step Calculation
1. Calculating Neutrons
Neutrons are found by subtracting the atomic number from the mass number:
$\text{Neutrons} = A - Z$ $\text{Neutrons} = 27 - 13 = 14$
There are 14 neutrons in this aluminum isotope.
2. Calculating Electrons
For a neutral atom, the number of electrons equals the number of protons ($Z$). However, an ion has a charge.
- A positive charge ($3+$) means the atom has lost 3 electrons.
- Protons = 13
- Electrons = (Protons) - (Charge)
- Electrons = $13 - 3 = 10$
There are 10 electrons in the $\text{Al}^{3+}$ ion.
Summary
- Protons: 13 (determined by the atomic number).
- Neutrons: 14 ($27 - 13 = 14$).
- Electrons: 10 (neutral 13 electrons minus 3 lost to create a $+3$ charge).
By following these steps, you can determine the composition of any ion provided in this standard format!
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