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Nursing and allied health · Study sheet

Anion gap formula study sheet

The anion gap formula in plain steps, four worked problems with made-up numbers, a short glossary and 12 practice questions. Free, and for study only: it cannot be used for a real person or your own results.

  • Formula in 4 steps
  • 4 worked problems
  • 12 practice questions
  • No sign-up needed

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Part 1 · The formula

Anion gap = Na − (Cl + HCO3)

  1. 1.Take sodium (Na+), the main measured positive ion.
  2. 2.Add the two measured negative ions it is compared with: chloride (Cl−) and bicarbonate (HCO3−, reported as total CO2 on many panels).
  3. 3.Subtract that sum from the sodium: anion gap = Na − (Cl + HCO3).
  4. 4.Some textbooks and labs add potassium to the sodium side. Check which version your course uses, and always use the same version for the whole problem.
Why a "gap" at all?
Body fluid carries equal total positive and negative charge. The panel measures only some of the ions, so the difference between the measured positives and negatives stands in for the ions the panel does not measure.
What fills the gap
Mostly negatively charged proteins (albumin above all), plus phosphate, sulfate and small organic acids that the electrolyte panel does not report.
Albumin matters
Albumin is the largest unmeasured anion, so a low albumin lowers the calculated gap. Courses teach this as a reason to read the gap next to the albumin value.
Units
All three values are in mEq/L (or the same number in mmol/L, since these ions carry a single charge), so the gap is in mEq/L too.
Ranges vary
Labs and textbooks publish different reference ranges, and the range depends on the method and on whether potassium is included. On any worksheet, the range your course or lab prints is the one to use.
Study use only
This sheet is for classroom practice with made-up numbers. It cannot be used for a real person or your own results.

Part 2 · Worked examples

Four worked practice problems

Invented numbers for classroom practice. Work each one on paper first, then open the steps.

  • Problem 1

    Na 140, Cl 104, HCO3 24 (mEq/L)

  • Problem 2

    Na 138, Cl 100, HCO3 18 (mEq/L)

  • Problem 3

    Na 142, Cl 108, HCO3 26 (mEq/L)

  • Problem 4

    Na 136, Cl 98, HCO3 20, K 4 (mEq/L)

Part 3 · Glossary

The terms on the sheet

Na+
Sodium, the main positive ion in the fluid outside cells
Cl−
Chloride, the main measured negative ion outside cells
HCO3−
Bicarbonate, the buffer ion; many panels report it as total CO2
K+
Potassium, left out of the gap in most courses and added in some
mEq/L
Milliequivalents per litre, the usual unit for these ions
BMP
Basic metabolic panel, the panel that holds the three ions
Unmeasured anion
A negative ion that the panel does not report, such as albumin or phosphate
Albumin
The most plentiful blood protein, and the biggest unmeasured anion

Part 4 · Practice

12 practice questions

Arithmetic, the formula and the ideas behind it, one at a time. Every answer is explained, and your score is free: no sign-up needed.

Question 1 of 12

Which formula is the usual one for the anion gap?

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Sources

Where these facts come from

Questions

Common questions

Yes. The formula, the worked problems, the glossary and the 12 practice questions with your score are free, and none of it needs a sign-up. An email unlocks the bonus: a printable formula card and 10 more questions.

The usual version is sodium minus the sum of chloride and bicarbonate, all in mEq/L. Some courses add potassium to the sodium side, so use the version your course teaches.

Labs use different methods, and the range changes with whether potassium is included. This sheet therefore does not ask you to memorize one cut-off. Use the range your course or lab prints.

No. It is a study aid for people in nursing, medical assisting and other allied-health programs, with made-up numbers. Questions about a real result go to the clinician who ordered it.

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