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Atomic Mass Calculator

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Atomic Mass Calculator

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⚛️ Atomic Mass: Definition, Formula, and Examples

🔑 Definition

Atomic mass is the mass of a single atom of a chemical element. It reflects the total mass of protons, neutrons, and electrons, though electrons contribute very little.

  • It’s usually expressed in atomic mass units (amu) or Daltons (Da).
  • 1 amu is defined as 1/12 the mass of a carbon-12 atom.

👉 Important distinction:

  • Atomic mass = mass of one atom (specific isotope).
  • Atomic weight (relative atomic mass) = weighted average of all naturally occurring isotopes of an element, based on abundance.

🧮 Formula

For a given isotope:

Atomic Mass≈(Z⋅mp)+(N⋅mn)+(Z⋅me)−Δm\text{Atomic Mass} \approx (Z \cdot m_p) + (N \cdot m_n) + (Z \cdot m_e) – \Delta m

Where:

  • ZZ = number of protons
  • NN = number of neutrons
  • mpm_p = mass of a proton (≈ 1.0073 amu)
  • mnm_n = mass of a neutron (≈ 1.0087 amu)
  • mem_e = mass of an electron (≈ 0.00055 amu)
  • Δm\Delta m = mass defect (binding energy converted from mass)

📊 Examples

ElementIsotopeProtonsNeutronsApprox. Atomic Mass (amu)
HydrogenH-1101.0078
CarbonC-126612.0000 (defined standard)
OxygenO-168815.9949
UraniumU-23892146238.0508

🌍 Atomic Mass vs Atomic Weight

  • Atomic mass: exact mass of a specific isotope (e.g., C-12 = 12.0000 amu).
  • Atomic weight: average mass of all isotopes in nature, weighted by abundance.
    • Example: Carbon’s atomic weight = 12.011 amu (because ~99% is C-12, ~1% is C-13).

In the U.S. education system, the Periodic Table typically lists atomic weight (average), not the mass of a single isotope.

⚖️ Why Atomic Mass Matters

  • Chemistry: Determines molar mass and stoichiometry in reactions.
  • Physics: Connects to nuclear binding energy and stability.
  • Medicine: Isotopes with different atomic masses are used in imaging and treatment.
  • Agriculture & Industry: Stable isotopes help trace nutrient cycles and optimize fertilizers.

FAQ

Q: Is atomic mass always a whole number? No. Because of the mass defect and isotope variation, atomic masses are usually decimals.

Q: Why is carbon-12 special? It’s the reference standard: 1 amu = 1/12 the mass of a carbon-12 atom.

Q: How is atomic mass measured? Using mass spectrometry, which separates isotopes by mass-to-charge ratio.