Math Problem Statement

Gallium has two stable isotopes, Ga-69 and Ga-71. Using their atomic weights and the fraction of that isotope in nature, calculate the atomic mass of gallium in amu. Ga-69: 68.926 amu, fraction in nature = 0.6011. Ga-71: 70.925 amu, fraction in nature = 0.3989.

Solution

To solve the problem regarding the atomic mass of gallium using the given data for its isotopes, we will follow these steps:

  1. Given Information:

    • Ga-69 has an atomic mass of 68.926 amu and a natural abundance (fraction) of 0.6011.
    • Ga-71 has an atomic mass of 70.925 amu and a natural abundance (fraction) of 0.3989.

  2. Formula for Average Atomic Mass: The average atomic mass can be calculated using the formula: [ \text{Atomic mass of gallium} = (\text{Mass of

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Math Problem Analysis

Mathematical Concepts

Weighted Average
Atomic Mass

Formulas

Average Atomic Mass = (Mass of Isotope 1 * Fraction 1) + (Mass of Isotope 2 * Fraction 2)

Theorems

Weighted Average Theorem

Suitable Grade Level

College-level Chemistry

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