Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

isotopes fill in the missing information about the different isotopes o…

Question

isotopes
fill in the missing information about the different isotopes of different elements. if all the answers in a row are correct, then the row should change color.
columns: element symbol, element name, atomic number, # protons, # neutrons, # electrons, mass number, isotope notation, isotope name.
rows labeled 5, 6, 7, 8, 9, 10.
entries include iodine, lead-207, numbers 6, 11, 12, 20, 74, etc.
isotope notation section shows atomic #, mass #, element symbol.

Explanation:

Response

To solve problems related to isotopes, we use the following relationships:

  • Atomic Number (\(Z\)) = Number of Protons (\(p^+\)) = Number of Electrons (\(e^-\)) (in neutral atoms).
  • Mass Number (\(A\)) = Number of Protons (\(p^+\)) + Number of Neutrons (\(n\)).
Example 1: Carbon (Atomic Number = 6)
Step 1: Find Protons and Electrons

Atomic Number (\(Z\)) = 6, so \(p^+ = 6\) and \(e^- = 6\) (neutral atom).

Step 2: Find Neutrons

Mass Number (\(A\)) = 12 (given).
Neutrons (\(n\)) = \(A - Z = 12 - 6 = 6\).

Example 2: Iodine (Atomic Number for Iodine is 53)
Step 1: Find Protons and Electrons

Atomic Number (\(Z\)) = 53, so \(p^+ = 53\) and \(e^- = 53\) (neutral atom).

Step 2: Find Neutrons

Mass Number (\(A\)) = 74 + 53 = 127 (since Neutrons = 74, \(A = 53 + 74 = 127\)).

Example 3: Lead-207 (Isotope \(^{207}\text{Pb}\))
Step 1: Find Protons and Electrons

Atomic Number for Lead (\(Z\)) = 82, so \(p^+ = 82\) and \(e^- = 82\) (neutral atom).

Step 2: Find Neutrons

Mass Number (\(A\)) = 207.
Neutrons (\(n\)) = \(A - Z = 207 - 82 = 125\).

Example 4: Element with \(p^+ = 9\), \(n = 10\)
Step 1: Find Atomic Number and Electrons

\(Z = p^+ = 9\), so \(e^- = 9\) (neutral atom).

Step 2: Find Mass Number

\(A = p^+ + n = 9 + 10 = 19\).

Step 3: Identify Element

Atomic Number 9 = Fluorine (F).

Filling the Table (Key Rows):
Element SymbolElement NameAtomic Number# Protons# Neutrons# ElectronsMass NumberIsotope NotationIsotope Name
CCarbon666612\(^{12}\text{C}\)Carbon-12
IIodine53537453127\(^{127}\text{I}\)Iodine-127
PbLead828212582207\(^{207}\text{Pb}\)Lead-207

For any missing cell, apply \( Z = p^+ = e^- \) and \( A = p^+ + n \) to find the unknowns.

Answer:

To solve problems related to isotopes, we use the following relationships:

  • Atomic Number (\(Z\)) = Number of Protons (\(p^+\)) = Number of Electrons (\(e^-\)) (in neutral atoms).
  • Mass Number (\(A\)) = Number of Protons (\(p^+\)) + Number of Neutrons (\(n\)).
Example 1: Carbon (Atomic Number = 6)
Step 1: Find Protons and Electrons

Atomic Number (\(Z\)) = 6, so \(p^+ = 6\) and \(e^- = 6\) (neutral atom).

Step 2: Find Neutrons

Mass Number (\(A\)) = 12 (given).
Neutrons (\(n\)) = \(A - Z = 12 - 6 = 6\).

Example 2: Iodine (Atomic Number for Iodine is 53)
Step 1: Find Protons and Electrons

Atomic Number (\(Z\)) = 53, so \(p^+ = 53\) and \(e^- = 53\) (neutral atom).

Step 2: Find Neutrons

Mass Number (\(A\)) = 74 + 53 = 127 (since Neutrons = 74, \(A = 53 + 74 = 127\)).

Example 3: Lead-207 (Isotope \(^{207}\text{Pb}\))
Step 1: Find Protons and Electrons

Atomic Number for Lead (\(Z\)) = 82, so \(p^+ = 82\) and \(e^- = 82\) (neutral atom).

Step 2: Find Neutrons

Mass Number (\(A\)) = 207.
Neutrons (\(n\)) = \(A - Z = 207 - 82 = 125\).

Example 4: Element with \(p^+ = 9\), \(n = 10\)
Step 1: Find Atomic Number and Electrons

\(Z = p^+ = 9\), so \(e^- = 9\) (neutral atom).

Step 2: Find Mass Number

\(A = p^+ + n = 9 + 10 = 19\).

Step 3: Identify Element

Atomic Number 9 = Fluorine (F).

Filling the Table (Key Rows):
Element SymbolElement NameAtomic Number# Protons# Neutrons# ElectronsMass NumberIsotope NotationIsotope Name
CCarbon666612\(^{12}\text{C}\)Carbon-12
IIodine53537453127\(^{127}\text{I}\)Iodine-127
PbLead828212582207\(^{207}\text{Pb}\)Lead-207

For any missing cell, apply \( Z = p^+ = e^- \) and \( A = p^+ + n \) to find the unknowns.