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Calculator Average Atomic Mass

Average Atomic Mass Formula:

\[ \text{Average Mass} = \frac{\sum (\text{Abundance} \times \text{Isotope Mass})}{100} \]

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1. What is Average Atomic Mass?

The average atomic mass of an element is the weighted average of the atomic masses of its naturally occurring isotopes, taking into account their relative abundances. It's the value you see on the periodic table for each element.

2. How Does the Calculator Work?

The calculator uses the average atomic mass formula:

\[ \text{Average Mass} = \frac{\sum (\text{Abundance} \times \text{Isotope Mass})}{100} \]

Where:

Explanation: The equation calculates a weighted average where more abundant isotopes contribute more to the final average mass.

3. Importance of Average Atomic Mass

Details: The average atomic mass is crucial for chemical calculations, stoichiometry, and understanding element properties. It affects molar mass calculations and therefore all quantitative chemistry.

4. Using the Calculator

Tips: Enter the mass and natural abundance of each isotope. For elements with more than two isotopes, you can add their contributions sequentially. Ensure the total abundance doesn't exceed 100%.

5. Frequently Asked Questions (FAQ)

Q1: Why isn't the average mass exactly between the isotope masses?
A: Because it's a weighted average - more abundant isotopes contribute more to the average.

Q2: What if my element has more than two isotopes?
A: You can calculate the average by adding more terms to the sum (mass × abundance for each isotope).

Q3: Why do we use average mass instead of individual isotope masses?
A: Most elements occur as mixtures of isotopes, so the average mass better represents natural samples.

Q4: How precise should my isotope masses be?
A: For accurate results, use isotope masses to at least 4 decimal places as found in reference tables.

Q5: Can I use this for radioactive elements?
A: Only if you're using the natural isotopic composition. For pure radioactive isotopes, use their exact mass.

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