The charge of an element x is +3 and having 15 protons and 16 neutrons. How much electrons that element X have?

*

12

15

16

31

Silver occurs as two isotopes with atomic masses 106.9041 amu and 108.9047 amu, respectively. The first isotopes represent 51.82% and the second 48.18%. determine the average atomic mass of silver.

*

105.85

107.87

108.88

109.99

### Problem 1: Electrons in Element X
The element X has a charge of +3, 15 protons, and 16 neutrons.

- **Protons:** The atomic number of the element is equal to the number of protons, so the atomic number of element X is 15.
- **Charge:** Since the charge is +3, it means that the element has lost 3 electrons (because protons are positive, and electrons are negative).
- **Neutral Atom:** A neutral atom would have 15 electrons (equal to the number of protons).
  
Since it lost 3 electrons to become a +3 ion:
\[
\text{Electrons in } X = 15 - 3 = 12
\]
Thus, the number of electrons in element X is **12**.

---

### Problem 2: Average Atomic Mass of Silver Isotopes

Silver has two isotopes with the following details:
- Mass of isotope 1 = \( 106.9041 \, \text{amu} \), percentage = \( 51.82\% \)
- Mass of isotope 2 = \( 108.9047 \, \text{amu} \), percentage = \( 48.18\% \)

To calculate the average atomic mass, we use the formula:
\[
\text{Average atomic mass} = (\text{mass of isotope 1} \times \text{fraction of isotope 1}) + (\text{mass of isotope 2} \times \text{fraction of isotope 2})
\]
Substituting the values:
\[
\text{Average atomic mass} = (106.9041 \times 0.5182) + (108.9047 \times 0.4818)
\]
Now, calculating each term:
\[
106.9041 \times 0.5182 = 55.4053
\]
\[
108.9047 \times 0.4818 = 52.4211
\]
Adding these together:
\[
55.4053 + 52.4211 = 107.8264 \, \text{amu}
\]
Rounding this result gives an average atomic mass of approximately **107.87 amu**.

---

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### Related Questions:
1. How do protons, neutrons, and electrons determine the identity and charge of an atom?
2. What happens when an atom gains or loses electrons?
3. How does the percentage abundance of isotopes affect the average atomic mass of an element?
4. What is the significance of isotopes in chemistry?
5. How can the concept of charge and atomic structure be used to determine the chemical properties of an element?

### Tip: 
Always remember, the number of protons (atomic number) defines the element, while electrons determine the charge of the ion or atom.

The charge of an element X is +3 and it has 15 protons and 16 neutrons. How many electrons does element X have? Silver occurs as two isotopes with atomic masses 106.9041 amu and 108.9047 amu, respectively. The first isotope represents 51.82% and the second 48.18%. Determine the average atomic mass of silver.

Solve two chemistry problems: determine the number of electrons in element X with a charge of +3 and 15 protons, and calculate the average atomic mass of silver based on its isotopes' percentages and atomic masses. Includes step-by-step solutions and key concepts like atomic structure, isotopes, and weighted averages. Ideal for students in Grades 9-11.

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