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Calibration · No. 38Sample Weight or Total Weight?

GC quantitation — check the software

Sample weight or total weight? Checking the software's internal standard math

Half the labs typed the gasoline's weight, half the total. Work D4815's calculation from first principles, size the error, prove which entry your setup needs, and lock it down.

By Medrado Analytical Innovations · Foundations, No. 38 · for the working analyst

In this piece · 6 min read
  1. What the method calculates
  2. Worked example
  3. How big the error is in real life
  4. Two ways a data system can be set up
  5. The test that settles it
  6. Lock it down: validated calculation files
  7. The judgement

A friend of mine oversees several laboratories that all run ASTM D4815, oxygenates in gasoline, on the same chromatography data system. He found that some sites typed the weight of the gasoline into the sample amount field and others typed the total weight in the vial: the gasoline plus the internal standard. The field's label did not settle it, and neither did the vendor. This lesson works the method's calculation from first principles, shows where the sample weight belongs, how large the error is if it is wrong, and how to prove which entry your own software setup needs.

What the method calculates

Read the method itself, not the software, to find out what the answer is supposed to be. In D4815 the calibration standards are made up by weighing each oxygenate and the internal standard, 1,2-dimethoxyethane (DME), into a flask and diluting with oxygenate-free gasoline.1 Each oxygenate is calibrated by plotting its area ratio to the internal standard against its mass ratio to the internal standard, and the line is not forced through zero. To run a sample, a measured volume of DME is weighed into a small flask, the flask is filled with the gasoline, and the gasoline's net mass is recorded separately. The result is the oxygenate's mass, recovered from the calibration line and the weighed DME, divided by the net mass of gasoline and multiplied by 100.1

In plain terms, with m the slope and b the intercept of the calibration line:

calibration: area ratio = m × (mass of oxygenate ÷ mass of DME) + b sample: mass of oxygenate in the flask = ((area ratio − b) ÷ m) × mass of DME result: mass % = mass of oxygenate ÷ mass of gasoline × 100

Two things follow. The mass of oxygenate comes out of the ratio with no sample weight in it at all. And the sample weight enters once, as the denominator, and the method's denominator is the gasoline alone, not the gasoline plus DME.

Check yourself

Answer in your head first, then open the answer. Any question can go into your Quiz me.

  1. In D4815's calculation, where does the sample weight enter?

    Show the answer
    “The mass of oxygenate comes out of the ratio with no sample weight in it at all.”

    See it in the article ·

  2. Same sample, but the result is divided by the total in the flask, 10.50 g. It reads…

    Show the answer
    “Divide by the total in the flask, 10.50 g, instead, and the answer is 9.52%”

    See it in the article ·

  3. If f is the internal standard's share of the flask's mass, dividing by the total multiplies every result by…

    Show the answer
    “Dividing by the total instead of the gasoline multiplies every result by 1 − f; the opposite mistake multiplies it by 1 ÷ (1 − f).”

    See it in the article ·

Glossary

Sample amount
In the data system, the mass the result is divided by; for D4815 the gasoline's mass.
ISTD amount
The amount of internal standard added to the sample.
Check standard
A standard of known value run like a sample to verify the whole calculation.
Calculation file
A validated calculation saved once and carried by the processing method.

Sources

  1. ASTM D4815-22, Determination of MTBE, ETBE, TAME, DIPE, tertiary-Amyl Alcohol and C1 to C4 Alcohols in Gasoline by Gas Chromatography: section 12 (calibration standards by mass; calibration of area ratio against mass ratio, not forced through zero), section 13.1 (sample preparation with a weighed internal standard and the gasoline's net mass) and section 14.1 (mass percent from the oxygenate's mass and the gasoline's mass). Consult the standard; it is not reproduced here.
  2. Agilent Community knowledge base, "ChemStation External and Internal Calibration Calculations" (community.agilent.com, read 13 October 2026).
  3. Agilent Technologies, Understanding Your Agilent ChemStation, G2070-91126 (ChemStation B.04.03 SP1): Quantification, "ISTD Calculation of Calibrated Peaks" and "Sample Amount" (p. 117 and p. 125).
  4. DataApex, Clarity CDS documentation, Method: Calculation (dataapex.com, read 13 October 2026).
  5. Agilent OpenLab CDS 2.x online help: sequence table fields (Sample amount, ISTD amt); Data Analysis, Concentration and mass%; Custom Calculation Editor (calculation files linked or embedded in the processing method, audit trail) (help dated December 2023 to February 2024).