Average Mass Formula:
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The average isotopic mass is the weighted mean of the atomic masses of all naturally occurring isotopes of an element, taking into account their relative abundances. For liquids, this calculation considers the composition of the mixture.
The calculator uses the weighted average formula:
Where:
Explanation: The equation calculates the weighted average by multiplying each component's mass by its fractional abundance and summing these products.
Details: Accurate average mass calculation is crucial for chemical analysis, stoichiometric calculations, and understanding the properties of isotopic mixtures in liquids.
Tips: Enter component masses in atomic mass units (amu) and their corresponding fractional abundances (sum should be ≤1). You can calculate for 1 or 2 components.
Q1: What's the difference between atomic weight and average isotopic mass?
A: Atomic weight is the standard average mass of an element's isotopes, while average isotopic mass can be calculated for any specific mixture.
Q2: Why calculate average mass for liquids?
A: Liquid mixtures may have different isotopic compositions than natural abundances, affecting properties like density and boiling point.
Q3: How precise should the fractions be?
A: For accurate results, fractions should be precise to at least 4 decimal places when dealing with natural isotopic abundances.
Q4: Can I add more than 2 components?
A: This calculator handles up to 2 components. For more complex mixtures, specialized software may be needed.
Q5: What if my fractions sum to more than 1?
A: The calculator will still compute a result, but such values are not physically meaningful for isotopic fractions.