Reconstitution math

Tirzepatide bac water calculator

A tirzepatide bac water calculator divides the mg in a powder vial by the mL of water added to get mg/mL, then turns each dose into units. Example: 10 mg + 2 mL = 5 mg/mL, so 2.5 mg is 0.5 mL, or 50 units. No FDA-approved tirzepatide needs mixing.

Tirzepatide Calculator editorial teamUpdated 6 sources

Bac water calculator

Powder vial + water → units

mg
mL
Syringe size (U-100)

Calculating…

Formula. Concentration = mg in vial ÷ mL added. Units = (dose ÷ concentration) × 100 on a U-100 syringe. This tool does arithmetic only. It does not recommend or adjust doses.

Read this first: legal statusNo FDA-approved tirzepatide is a powder that you mix with bacteriostatic water. Zepbound and Mounjaro come as ready-to-use solutions: single-dose pens and vials (0.5 mL), and multi-dose vials and KwikPens (four 0.6 mL doses).[1][2] The FDA declared the tirzepatide shortage resolved in December 2024, and the grace periods for compounders ended in early 2025.[4][5] The FDA has warned firms selling tirzepatide labeled "for research purposes" or "not for human consumption".[3] This page explains arithmetic only. It is not a guide to using unapproved products.

The math in three steps

Bac water math takes three steps: concentration, then volume, then units.

  1. Concentration. mg in the vial ÷ mL of water added. A 10 mg vial with 2 mL is 5 mg/mL.
  2. Volume of a dose. Dose ÷ concentration. 2.5 mg ÷ 5 mg/mL = 0.5 mL.
  3. Units. mL × 100 on a U-100 insulin syringe. 0.5 mL = 50 units.

Doubling the water halves the concentration and doubles the units for the same dose. The dose in milligrams is unchanged.

Concentration for each vial and water volume

Concentration is the vial mg divided by the mL of water: 10 mg in 2 mL is 5 mg/mL, and 60 mg in 3 mL is 20 mg/mL.

Resulting concentration (mg/mL)
Vial0.5 mL1 mL1.5 mL2 mL2.5 mL3 mL
5 mg1053.332.521.67
10 mg20106.67543.33
15 mg3015107.565
20 mg402013.331086.67
30 mg603020151210
40 mg804026.67201613.33
60 mg1206040302420

Units for each label dose, by vial size

Each grid shows the units to draw for the doses in the FDA labels (2.5 to 15 mg) at each water volume. Doses larger than the vial are left out. Cells over 100 units do not fit a 1 mL syringe.

10 mg vial: units to draw (U-100)
Dose0.5 mL1 mL1.5 mL2 mL2.5 mL3 mL
2.5 mg12.52537.55062.575
5 mg255075100125150
7.5 mg37.575112.5150187.5225
10 mg50100150200250300
20 mg vial: units to draw (U-100)
Dose0.5 mL1 mL1.5 mL2 mL2.5 mL3 mL
2.5 mg6.312.518.82531.337.5
5 mg12.52537.55062.575
7.5 mg18.837.556.37593.8112.5
10 mg255075100125150
12.5 mg31.362.593.8125156.3187.5
15 mg37.575112.5150187.5225
30 mg vial: units to draw (U-100)
Dose0.5 mL1 mL1.5 mL2 mL2.5 mL3 mL
2.5 mg4.28.312.516.720.825
5 mg8.316.72533.341.750
7.5 mg12.52537.55062.575
10 mg16.733.35066.783.3100
12.5 mg20.841.762.583.3104.2125
15 mg255075100125150
60 mg vial: units to draw (U-100)
Dose0.5 mL1 mL1.5 mL2 mL2.5 mL3 mL
2.5 mg2.14.26.38.310.412.5
5 mg4.28.312.516.720.825
7.5 mg6.312.518.82531.337.5
10 mg8.316.72533.341.750
12.5 mg10.420.831.341.752.162.5
15 mg12.52537.55062.575

Water that makes the numbers round

The same vial can be mixed so that whole units line up with whole milligrams. These are arithmetic options, not a recommendation for any product.

Water volume for a round-number concentration
Vial5 mg/mL (20 units = 1 mg)10 mg/mL (10 units = 1 mg)20 mg/mL (5 units = 1 mg)
5 mg1 mL0.5 mL0.25 mL
10 mg2 mL1 mL0.5 mL
15 mg3 mL1.5 mL0.75 mL
20 mg4 mL2 mL1 mL
30 mg6 mL3 mL1.5 mL
40 mg8 mL4 mL2 mL
60 mg12 mL6 mL3 mL

Very small volumes are hard to measure. Under about 2 units, the width of a syringe line becomes a large share of the dose. Very large volumes may need more than one syringe for higher doses: at 2.5 mg/mL, a 15 mg dose would be 600 units.

How many doses a vial holds

A vial holds its mg divided by the dose: a 20 mg vial holds eight 2.5 mg doses or four 5 mg doses.

Whole doses per vial (ignores the small amount lost in the needle)
Vial2.5 mg5 mg7.5 mg10 mg12.5 mg15 mg
5 mg21––––
10 mg4211––
15 mg632111
20 mg842211
30 mg1264322
40 mg1685432
60 mg24128644

Why FDA status matters for this math

The math is only as good as the label on the vial, and for unapproved powder the FDA does not check that label.[3]

  • The label on the vial is the only input. The calculator assumes the vial contains exactly the milligrams printed on it. The FDA says unapproved versions “do not undergo FDA's review for safety, effectiveness and quality,” and it has received more than 730 reports of adverse events linked to compounded tirzepatide.[3]
  • Storage after mixing is unknown. There is no FDA-approved labeling for how long mixed tirzepatide powder stays stable. Ask a pharmacist.
  • Compounding rules changed. Once tirzepatide left the shortage list, the FDA set end dates for compounders (February 18 and March 19, 2025), and in April 2026 it proposed excluding tirzepatide from the bulk substances outsourcing facilities may use.[5][6] Full timeline: compounded tirzepatide: FDA status.

Units for a single dose

For a liquid compounded vial (already mixed), see compounded tirzepatide dosage.

For a full table of one dose across every concentration, open: 2.5 mg · 5 mg · 7.5 mg · 10 mg · 12.5 mg · 15 mg.

Frequently asked questions

How much bac water do I add to 10 mg of tirzepatide?

There is no official answer, because no approved tirzepatide product is mixed with water. Arithmetically, 2 mL gives 5 mg/mL (2.5 mg = 50 units) and 1 mL gives 10 mg/mL (2.5 mg = 25 units). Ask the pharmacist who supplied the vial.

How many units is 2.5 mg from a 10 mg vial with 2 mL of water?

50 units. 10 mg ÷ 2 mL = 5 mg/mL; 2.5 mg ÷ 5 mg/mL = 0.5 mL; 0.5 mL × 100 = 50 units.

How many units is 5 mg from a 30 mg vial with 3 mL of water?

50 units. 30 ÷ 3 = 10 mg/mL; 5 ÷ 10 = 0.5 mL = 50 units.

Does more water make the dose weaker?

No. The dose in mg stays the same. More water spreads it through a bigger volume, so you draw more units to get the same milligrams.

Can I mix a Zepbound vial with bac water?

No. Zepbound vials are already a solution: 0.5 mL per single-dose vial, or four 0.6 mL doses per multi-dose vial. The label says, “Do not mix ZEPBOUND with any other medicine.”[1]

Sources

  1. Zepbound (tirzepatide) injection: prescribing information, Medication Guide and Instructions for Use · Eli Lilly and Company, via NLM DailyMed, label effective August 28, 2026
  2. Mounjaro (tirzepatide) injection: prescribing information and Instructions for Use · Eli Lilly and Company, via NLM DailyMed, label effective August 27, 2026
  3. FDA's concerns with unapproved GLP-1 drugs used for weight loss · U.S. Food and Drug Administration, content current as of October 1, 2026
  4. Declaratory order: resolution of shortages of tirzepatide injection products (Mounjaro and Zepbound) · U.S. Food and Drug Administration, December 19, 2024
  5. FDA clarifies policies for compounders as national GLP-1 supply begins to stabilize · U.S. Food and Drug Administration, content current as of April 1, 2026
  6. FDA proposes to exclude semaglutide, tirzepatide and liraglutide from the 503B bulks list · U.S. Food and Drug Administration, April 30, 2026