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Isotope Percent Abundance Calculator With Solution

Isotope Abundance Equation:

\[ AAM = \frac{(m_1 \times x) + (m_2 \times (100 - x))}{100} \]

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1. What Is Isotope Percent Abundance?

Isotope percent abundance refers to the percentage of atoms of a particular isotope in a naturally occurring sample of an element. Most elements exist as mixtures of isotopes with different masses.

2. How Does The Calculator Work?

The calculator uses the atomic mass equation:

\[ AAM = \frac{(m_1 \times x) + (m_2 \times (100 - x))}{100} \]

Where:

Explanation: The equation calculates the weighted average of isotopic masses based on their natural abundances.

3. Importance Of Isotope Abundance Calculation

Details: Understanding isotope abundances is crucial for various scientific fields including chemistry, geology, archaeology (radiocarbon dating), and medical diagnostics.

4. Using The Calculator

Tips: Enter the masses of both isotopes and the average atomic mass of the element. All values must be positive numbers measured in atomic mass units (amu).

5. Frequently Asked Questions (FAQ)

Q1: What if an element has more than two isotopes?
A: The equation becomes more complex with additional terms for each isotope. This calculator is designed specifically for two-isotope systems.

Q2: How accurate are natural abundance values?
A: Natural abundances are generally consistent but can vary slightly depending on the source of the element.

Q3: Can this calculator be used for radioactive isotopes?
A: Yes, but note that radioactive isotopes decay over time, which may affect their abundance in samples.

Q4: What are some common two-isotope elements?
A: Copper (Cu-63 and Cu-65), Bromine (Br-79 and Br-81), and Chlorine (Cl-35 and Cl-37) are examples.

Q5: Why is the atomic mass not a whole number?
A: Atomic mass is a weighted average of all naturally occurring isotopes, which typically results in a decimal value.

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