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Calculating The Average Atomic Mass

Average Atomic Mass Formula:

\[ \text{Avg} = \frac{\sum (\text{abundance} \times \text{isotope})}{100} \]

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1. What is Average Atomic Mass?

The average atomic mass is the weighted average of the atomic masses of all naturally occurring isotopes of an element, taking into account their relative abundances.

2. How Does the Calculator Work?

The calculator uses the average atomic mass formula:

\[ \text{Avg} = \frac{\sum (\text{abundance} \times \text{isotope})}{100} \]

Where:

Explanation: The equation calculates the weighted average of all isotopes based on their natural abundance.

3. Importance of Average Atomic Mass

Details: The average atomic mass is crucial for chemical calculations and appears on the periodic table for each element. It's essential for stoichiometric calculations in chemistry.

4. Using the Calculator

Tips: Enter isotope masses in atomic mass units (amu) and their corresponding natural abundances in percent. You can calculate with one or two isotopes (abundances should sum to ≤100%).

5. Frequently Asked Questions (FAQ)

Q1: Why don't abundances always sum to 100%?
A: You can calculate with partial data, but for complete accuracy, all significant isotopes should be included with their abundances summing to 100%.

Q2: How many decimal places should I use?
A: Typically 4 decimal places for precision, matching most published atomic mass values.

Q3: What if an element has more than two isotopes?
A: The same formula applies - just add more terms to the sum. This calculator handles up to two isotopes for simplicity.

Q4: Why is average atomic mass not a whole number?
A: It's a weighted average of different isotope masses, which themselves often aren't whole numbers due to nuclear binding energy.

Q5: Where can I find isotope abundance data?
A: The IUPAC publishes comprehensive isotope abundance data for all elements.

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