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4) use the mass spectrum below to fill out the information in the table…

Question

  1. use the mass spectrum below to fill out the information in the table about each isotope.

Explanation:

Response

To solve this, we analyze the mass spectrum and table:

Step 1: Identify Isotopes (m/z values)

From the spectrum, the \( m/z \) (mass) values are 86, 87, 88, and 92 (assuming the tallest peak is 88 with 82.58% abundance, 86 with ~0.59%, 87 with ~7.06%, and 92? Wait, the table and spectrum show:

  • Isotope 1: \( m/z = 86 \), Relative Abundance ≈ 0.59%
  • Isotope 2: \( m/z = 87 \), Relative Abundance ≈ 7.06%
  • Isotope 3: \( m/z = 88 \), Relative Abundance = 82.58%
  • (Maybe 92? But focus on visible peaks.)
Step 2: Protons (Atomic Number)

Assume the element is Strontium (Sr, atomic number 38) (common for these masses). So protons = 38 for all isotopes.

Step 3: Neutrons (Mass Number − Protons)
  • For \( \text{Mass} = 86 \): Neutrons = \( 86 - 38 = 48 \)
  • For \( \text{Mass} = 87 \): Neutrons = \( 87 - 38 = 49 \)
  • For \( \text{Mass} = 88 \): Neutrons = \( 88 - 38 = 50 \)
Step 4: Mass (amu) and Relative Abundance
  • Isotope \( ^{86}\text{Sr} \): Mass = 86 amu, Abundance ≈ 0.59%
  • Isotope \( ^{87}\text{Sr} \): Mass = 87 amu, Abundance ≈ 7.06%
  • Isotope \( ^{88}\text{Sr} \): Mass = 88 amu, Abundance = 82.58%
Filling the Table (Example for \( ^{88}\text{Sr} \)):
IsotopeProtonsNeutronsMass (amu)Relative Abundance (%)

(Repeat for other isotopes using \( \text{Neutrons} = \text{Mass} - 38 \) and given abundances.)

Answer:

For the isotope with mass 88 amu (most abundant):

  • Protons: 38
  • Neutrons: 50
  • Mass: 88 amu
  • Relative Abundance: 82.58%

(Adjust for other isotopes using the same logic.)