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Proximate analysis

Enter the crucible weighings from the moisture, ash and volatile matter tests to get fixed carbon by difference on every basis, or the loss on ignition of a mineral, with an estimated heating value.

Pre-sizing and estimating tool: results do not replace design, calculations or reports signed by a licensed professional, nor verification against the applicable codes and standards.

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Material
Moisture (oven at 105 °C)
Ash (muffle with air)
Volatile matter (covered crucible, no air)
As-received basis

Weighings on an analytical balance (0.1 mg), with about 1 g of ground sample. At the 900–950 °C (1,650–1,740 °F) muffle use long tongs, heat-resistant gloves and a face shield; volatiles come off as flammable gas.

—Fixed carbon, dry basis
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Composition on each basis

Moisture, ash, volatile matter and fixed carbon, adding to 100% on each basis.

Tap the chart to see the values.

Results on the four bases

Conversions per ASTM D3180: the tests measure on the as-determined basis.

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Method, assumptions and references

Equations used

Moisture M = (m₁ − m₂) ÷ (m₁ − m₀) × 100; ash A = (m₅ − m₃) ÷ (m₄ − m₃) × 100; volatile VM = (m₇ − m₈) ÷ (m₇ − m₆) × 100 − M; FC = 100 − M − A − VM
Bases (ASTM D3180): dry X_d = X_ad · 100 ÷ (100 − M_ad); dry ash-free X_daf = X_ad · 100 ÷ (100 − M_ad − A_ad); as received X_ar = X_d · (100 − M_ar) ÷ 100
Estimated HHV, dry basis (Parikh et al., 2005): HHV = 0.3536 · FC + 0.1559 · VM − 0.0078 · A (MJ/kg, % dry basis)
Loss on ignition (dried sample): LOI = (m₁ − m₂) ÷ (m₁ − m₀) × 100

Assumptions and limits

  • All three tests use the same ground, air-dried analysis sample; the measured moisture is that sample’s. Total lot moisture comes from its own test and is used only for the as-received basis.
  • Temperatures, times and particle size follow the material’s standard (ASTM D3173/D3174/D3175 for coal and coke, ASTM D1762 for wood charcoal, ISO 18134/18122/18123 or ASTM E870 for biomass). Different standards give different volatiles: always report the standard used.
  • HHV from the Parikh correlation is an estimate (average error of 3% to 4% on the authors’ data) and does not replace the bomb calorimeter (ASTM D5865, ISO 1928, ISO 18125). LOI assumes a dried sample and does not correct for oxidation gain.

Standards and technical documents

  • ASTM D3172: Standard Practice for Proximate Analysis of Coal and Coke
  • ASTM D3173: Moisture in the Analysis Sample of Coal and Coke; ASTM D3174: Ash in the Analysis Sample of Coal and Coke from Coal; ASTM D3175: Volatile Matter in the Analysis Sample of Coal and Coke
  • ASTM D3180: Standard Practice for Calculating Coal and Coke Analyses from As-Determined to Different Bases
  • ASTM D1762: Standard Test Method for Chemical Analysis of Wood Charcoal
  • ISO 17246: Coal — Proximate analysis; ISO 562 (volatile matter); ISO 1171 (ash); ISO 11722 (moisture)
  • ISO 18134-3, ISO 18122 and ISO 18123: Solid biofuels — moisture, ash and volatile matter
  • Parikh, J.; Channiwala, S. A.; Ghosal, G. K. A correlation for calculating HHV from proximate analysis of solid fuels. Fuel 84 (2005) 487–494

U.S. regulations

  • ASTM D388: Standard Classification of Coals by Rank (uses fixed carbon and volatile matter)
  • OSHA 29 CFR 1910.1450: Occupational exposure to hazardous chemicals in laboratories
  • OSHA 29 CFR 1910.132: personal protective equipment (heat-resistant gloves and face shield at the furnace)

Frequently asked questions

What is proximate analysis?

It splits a solid fuel into four parts: moisture, ash, volatile matter and fixed carbon. The first three are measured by mass loss or residue in an oven and muffle furnace; fixed carbon is what is left to reach 100%. It is used to compare coals, cokes and biomass, control carbonization and buy fuel on quality.

How do I read the example result?

The example coal has 2.50% moisture in the analysis sample and, on a dry basis, 10.09% ash, 34.36% volatile matter and 55.54% fixed carbon. Its fuel ratio (FC/VM) is 1.62. As received, at 8% total moisture, fixed carbon drops to 51.10%.

What is the difference between dry, as-received and dry ash-free?

As received includes all the lot moisture, dry excludes water, and dry ash-free excludes ash as well. The same material shows different numbers on each basis, so a report without the basis cannot be compared. To compare lots and suppliers, use the dry basis.

Why is fixed carbon calculated by difference?

Because it is what remains after water and volatiles leave, less ash, and there is no simple direct test for it. So any error in the other three measurements goes straight into fixed carbon. Weighing to 0.1 mg and cooling crucibles in a desiccator are essential.

Which temperatures and standards apply?

Moisture at 104–110 °C (219–230 °F). Ash at 700–750 °C for coal (ASTM D3174), 550 °C for biomass (ISO 18122) and 750 °C for wood charcoal (ASTM D1762). Volatile matter in a covered crucible for 7 minutes at 950 °C (ASTM D3175) or 900 °C (ISO 562). Always record the standard on the report.

Can proximate analysis give the heating value?

It can estimate it. The calculator uses the Parikh correlation, which for the example coal gives about 24.9 MJ/kg (about 10,700 Btu/lb) dry, with a typical error of 3% to 4%. For contracts, purchasing or energy balances, measure it in a bomb calorimeter (ASTM D5865).

What are the most common mistakes?

Letting crucibles cool outside the desiccator (they pick up moisture), opening the furnace during the volatile test (air burns carbon and raises the loss), using poorly ground or mixed samples and combining results from different standards. In loss on ignition of iron-bearing ores, oxidation can even increase the mass.