To determine the identity of element [tex]\( Y \)[/tex], we need to find the number of protons in the element. Here's how we can do that step-by-step:
1. Determine the mass number and the number of neutrons:
- The mass number of element [tex]\( Y \)[/tex] is given as 11.
- The number of neutrons in a single atom of element [tex]\( Y \)[/tex] is given as 6.
2. Calculate the number of protons:
- The mass number is the sum of the number of protons and the number of neutrons.
- We can express this relationship with the formula:
[tex]\[
\text{Mass Number} = \text{Number of Protons} + \text{Number of Neutrons}
\][/tex]
- Plug in the given values:
[tex]\[
11 = \text{Number of Protons} + 6
\][/tex]
- Solving for the number of protons, we get:
[tex]\[
\text{Number of Protons} = 11 - 6 = 5
\][/tex]
3. Identify the element using the number of protons:
- The number of protons in an element determines its atomic number, which in turn determines the element.
- The element with 5 protons (atomic number 5) is Boron (B).
4. Verify using the characteristics provided (Optional step but not necessary for the final conclusion):
- The average atomic mass of Boron is approximately 10.81 grams/mole, which matches the given average atomic mass for element [tex]\( Y \)[/tex].
Based on the given characteristics and our calculations, the identity of element [tex]\( Y \)[/tex] is:
[tex]\[ \boxed{\text{B}} \][/tex] (Boron)
