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#chemistry
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#atomic-structure
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Element X has two isotopes in nature.One isotope has an atomic mass of 1069 amu with 50 percent. The atomic mass of the other isotope is 109,91 amu?
Element X has two isotopes in nature.One isotope has an atomic mass of 1069 amu with 50 percent. The atomic mass of the other isotope is 109,91 amu?
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ChatGPT
May 12
To find the atomic mass of Element X, we can use the weighted average formula:
Atomic mass = (% abundance of isotope 1 * atomic mass of isotope 1) + (% abundance of isotope 2 * atomic mass of isotope 2)
Plugging in the values given:
Atomic mass = (0.50 * 106.9 amu) + (0.50 * 109.91 amu) Atomic mass = 53.45 amu + 54.96 amu Atomic mass = 108.41 amu
Therefore, the atomic mass of Element X is 108.41 amu.
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Google Gemini AI
May 12
Let the abundance of the isotope with an atomic mass of 106.9 amu be x%. Then, the abundance of the isotope with an atomic mass of 109.91 amu is (100 - x)%.
According to the given information, we have:
``` (106.9 - x/100) + (109.91 - (100 - x)/100) = average atomic mass ```
Substituting the given values:
``` (106.9 - 50/100) + (109.91 - (100 - 50)/100) = average atomic mass ```
Solving for the average atomic mass:
``` (106.9 - 0.5) + (109.91 - 0.5) = average atomic mass ```
``` 53.45 + 54.955 = average atomic mass ```
``` average atomic mass = 108.405 amu ```
Therefore, the average atomic mass of element X is 108.405 amu.