BIPM-ratified constants · v1.0
Converter
Uk, assay ton to kilogram converter calculator.
Convert UK assay tons to kilograms using the exact factor 98/3000 (0.032667). Ideal for fire assay labs, mining engineers, and precious metals analysts.
From
uk
at_to_kg
Equivalents
Assay Tons → Kilograms
→ UK Assay Tons
Common pairings
The conversion
How the value
is computed.
UK Assay Ton to Kilogram Conversion: Formula, Derivation, and Applications
The UK assay ton is a specialized unit of mass used almost exclusively in fire assay testing of precious metals. One UK assay ton equals exactly 98/3 grams (the repeating decimal 32.666... g, or approximately 32.667 grams), which converts to 0.032667 kilograms. This unit is deliberately sized so that the number of milligrams of precious metal recovered per assay ton charge numerically equals the troy ounces of that metal per long ton of ore — a calculation convenience deeply embedded in British and Commonwealth mining practice.
The Conversion Formula
The standard formula for converting UK assay tons to kilograms is:
m(kg) = m(ATUK) × 0.032666... (6 repeating)
Where m(kg) is the equivalent mass in kilograms and m(ATUK) is the mass expressed in UK assay tons. The exact rational value of the conversion factor is 98/3000 (equivalently 49/1500). To reverse the conversion — expressing kilograms as UK assay tons — divide by the same factor, which is equivalent to multiplying by 3000/98 ≈ 30.6122.
Derivation of the Conversion Factor
The assay ton's precise value is rooted in the relationship between troy weight and avoirdupois weight within the imperial long-ton system. One UK long ton equals 2,240 avoirdupois pounds, or approximately 1,016,046.9 grams. One troy ounce equals 31.1034768 grams. A long ton therefore contains approximately 32,666.7 troy ounces (1,016,046.9 ÷ 31.1035 ≈ 32,666.7).
The UK assay ton is defined so that 1 milligram of precious metal recovered per assay ton charge corresponds to 1 troy ounce per long ton of ore. Setting the assay ton mass a to satisfy 1 mg/a = 1 troy oz/long ton yields:
a = 1,016,046,900 mg ÷ 32,666.7 ≈ 32,666.7 mg = 32.667 g = 0.032667 kg
This derivation is consistent with conversion factors published in the NIST Guide for the Use of the International System of Units (SI) — NIST SP 811, and formally documented in the California Code of Regulations Title 4, Division 9, which defines assay tons for commercial weights and measures compliance.
Variables Defined
- Value to Convert (value): The numeric mass entered by the user. By default this represents a quantity in UK assay tons; when the conversion direction is reversed, it represents kilograms.
- Conversion Direction (direction): Selects whether the tool converts UK assay tons to kilograms or kilograms back to UK assay tons. Reversing direction applies the reciprocal factor 3000/98 (≈ 30.6122).
Worked Examples
Example 1 — UK Assay Tons to Kilograms: A fire assay laboratory prepares a charge of 5 UK assay tons. The equivalent mass in kilograms is: 5 × 0.032667 = 0.16333 kg (163.33 g).
Example 2 — Kilograms to UK Assay Tons: A metallurgist records a refined sample of 2.5 kg and needs to report in UK assay tons: 2.5 ÷ 0.032667 = 76.53 UK assay tons.
Example 3 — Ore Grade Context: When an assay charge of exactly 1 UK assay ton yields 6.2 mg of gold, the deposit grade is reported directly as 6.2 troy oz of gold per long ton of ore. This direct numerical equivalence is the primary engineering rationale for the assay ton unit, eliminating a conversion step in every grade calculation.
Industrial and Laboratory Applications
The UK assay ton appears in several specialized contexts:
- Fire assay laboratories processing gold, silver, and platinum group metals (PGMs) from British and Commonwealth mining operations.
- Ore grade reporting where legacy contracts specify grades in troy ounces per long ton.
- Bullion customs and export documentation governed by imperial-system commercial terms.
- Historical metallurgical research comparing pre-metric assay records with modern SI datasets.
Modern SI-compliant reporting increasingly uses grams per metric ton (g/t), but conversion to and from UK assay tons remains essential for interoperability with legacy datasets, older regulatory frameworks, and international trade documentation referencing long-ton grades.
Reference