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An ion has a net charge of [tex]$3+$[/tex]. If this ion has 8 protons, how many electrons does it have?

A. 3
B. 5
C. 7
D. 8
E. 11


Sagot :

To determine the number of electrons in an ion that has a net charge of [tex]\(3+\)[/tex] and 8 protons, let's follow these steps:

1. Understand the definition of net charge: The net charge of an ion is the difference between the number of protons and the number of electrons. Since protons have a positive charge and electrons have a negative charge, the net charge is calculated as:
[tex]\[ \text{Net charge} = \text{Number of protons} - \text{Number of electrons} \][/tex]

2. Identify the given values: In the problem, we are given:
- Net charge = [tex]\( 3+ \)[/tex]
- Number of protons = 8

3. Set up the equation: Using the definition of net charge, substituting the given values into the equation:
[tex]\[ 3 = 8 - \text{Number of electrons} \][/tex]

4. Solve for the number of electrons: Rearrange the equation to solve for the number of electrons:
[tex]\[ \text{Number of electrons} = 8 - 3 \][/tex]

5. Calculate the result: Perform the calculation:
[tex]\[ \text{Number of electrons} = 5 \][/tex]

Thus, the ion has 5 electrons.

The correct answer is:
B. 5