Calculate The Atomic Weight of Nickel From The Following Information

The atomic weight of nickel is calculated by considering the natural abundance of its isotopes and their respective atomic masses. This calculation is essential for precise chemical analysis and material science applications.

Calculation Method

The atomic weight of nickel is determined by taking the weighted average of the atomic masses of its naturally occurring isotopes, weighted by their abundance in the sample. The most common isotopes of nickel are:

Nickel-58 (58.68 amu, 68.077% abundance)
Nickel-60 (59.93 amu, 26.223% abundance)
Nickel-61 (60.93 amu, 1.14% abundance)
Nickel-62 (61.928 amu, 3.634% abundance)
Nickel-64 (63.928 amu, 0.926% abundance)

The calculation involves multiplying each isotope's atomic mass by its abundance (expressed as a decimal) and summing these products to get the atomic weight.

Formula

The atomic weight (AW) of nickel is calculated using the following formula:

AW = (Mass₁ × Abundance₁) + (Mass₂ × Abundance₂) + ... + (Massₙ × Abundanceₙ)

Where:

Mass₁, Mass₂, ..., Massₙ are the atomic masses of the isotopes
Abundance₁, Abundance₂, ..., Abundanceₙ are the natural abundances of the isotopes (expressed as decimals)

Example Calculation

Let's calculate the atomic weight of nickel using the following isotope data:

Isotope	Atomic Mass (amu)	Natural Abundance (%)
Nickel-58	57.935	68.077
Nickel-60	59.931	26.223
Nickel-61	60.931	1.14
Nickel-62	61.928	3.634
Nickel-64	63.928	0.926

The calculation would be:

AW = (57.935 × 0.68077) + (59.931 × 0.26223) + (60.931 × 0.0114) + (61.928 × 0.03634) + (63.928 × 0.00926)

Using this formula, the atomic weight of nickel is approximately 58.693 amu.

Interpreting Results

The calculated atomic weight provides a precise value for nickel that accounts for the natural variation in isotope composition. This value is crucial for:

Chemical calculations requiring precise atomic weights
Material science applications where isotope composition affects properties
Quality control in industrial processes involving nickel

Note

The atomic weight may vary slightly depending on the specific sample's isotope composition. Always verify with the most recent isotopic data for critical applications.

FAQ

What is the standard atomic weight of nickel?: The standard atomic weight of nickel is approximately 58.693 amu, based on the natural abundance of its isotopes.
How does isotope abundance affect the atomic weight?: Isotope abundance directly influences the atomic weight through the weighted average calculation. More abundant isotopes contribute more to the final value.
Can the atomic weight of nickel vary?: Yes, the atomic weight can vary slightly depending on the specific sample's isotope composition, especially in enriched or depleted materials.
Where can I find the most recent isotope data for nickel?: The most reliable sources for isotope data include the National Institute of Standards and Technology (NIST) and the International Union of Pure and Applied Chemistry (IUPAC).