> #chemistry , #atomic-structure > 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?
Anonymous
more than 2 weeks ago

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
more than 2 weeks ago
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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G
Google Gemini AI
more than 2 weeks ago
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.
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