The ion of an element has 3 positive charges. Mass number of the atom is 27 and the number of neutrons is 14. What is the number of electrons in the ion?

Options

A. 13
B. 10
C. 14
D. 16

Explanation

To find the number of electrons in the ion, we can follow these steps:

### Step 1: Understand the given information
- The ion has a mass number of 27.
- The number of neutrons is 14.
- The ion has a charge of +3.

### Step 2: Calculate the number of protons
The mass number (A) is the sum of the number of protons (Z) and the number of neutrons (N):
\[ \text{Mass number} = \text{Number of protons} + \text{Number of neutrons} \]
So, we can write:
\[ 27 = Z + 14 \]
To find the number of protons (Z):
\[ Z = 27 - 14 = 13 \]

### Step 3: Determine the number of electrons in a neutral atom
In a neutral atom, the number of electrons is equal to the number of protons. Therefore, in this case:
\[ \text{Number of electrons} = \text{Number of protons} = 13 \]

### Step 4: Adjust for the ion charge
Since the ion has a charge of +3, it means it has lost 3 electrons. Therefore, we subtract 3 from the number of electrons:
\[ \text{Number of electrons in the ion} = 13 - 3 = 10 \]

### Conclusion
The number of electrons in the ion is **10**.

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