6.3 Mixing, Loading, and Application-Rate Math
Key Takeaways
- Label rates are written as product per acre (qt/A, pt/A, fl oz/A, lb/A, oz/A); calculate product needed as acres x labeled rate, then divide the total spray solution (acres x GPA) into carrier and product.
- Adjuvant rates are usually percent of finished spray or volume of spray; a 0.25% v/v adjuvant rate equals 0.25 fl oz per gallon of spray, or 2.5 gallons per 1,000 gallons of finished spray.
- Percent active ingredient (% ai) lets you compare formulations: pounds active ingredient per acre = (product rate in lb/A) x (% ai / 100).
- Dilution problems use the ratio C1 x V1 = C2 x V2; for tank mixes, sum the product amounts first, then subtract from total spray volume to find the carrier volume.
- Always add product in the label-specified order (usually agitation, then half the carrier, then dry formulations, liquids, adjuvants, and fill), and never add water to concentrated pesticide.
6.3 Mixing, Loading, and Application-Rate Math
Quick Answer: The label gives a rate in product per acre (for example, 1 qt/A). Total product = acres x labeled rate. Total spray solution = acres x GPA. Adjuvant is added as a percent of finished spray. Always add product in the label's mixing order, and never pour water onto concentrated pesticide.
Reading Label Rates
Pesticide labels state the application rate as product per acre. Common units:
| Unit | Means | Typical Use |
|---|---|---|
| qt/A | Quarts of formulated product per acre | Liquid herbicides |
| pt/A | Pints per acre | Liquid insecticides, herbicides |
| fl oz/A | Fluid ounces per acre | Concentrated liquids |
| lb/A | Pounds dry product per acre | Wettable powders, granules |
| oz/A | Ounces dry product per acre | Dry flowables |
Some labels also state the rate as pounds of active ingredient per acre (lb ai/A). To convert between product rate and active ingredient rate, use the percent active ingredient printed on the label.
Calculating Product Needed for a Field
Total product = acres x labeled rate per acre.
Worked Example 1: Liquid Herbicide
- Field: 40 acres
- Label rate: 1.5 qt/A
- Total product = 40 x 1.5 = 60 qt = 15 gallons
Worked Example 2: Dry Flowable
- Field: 25 acres
- Label rate: 8 oz/A (dry)
- Total product = 25 x 8 = 200 oz dry = 12.5 lb
Total Spray Solution and Carrier Volume
The total spray solution the sprayer carries to the field is acres x GPA. The carrier (usually water) is the total spray solution minus the product volume.
Worked Example 3: Full Tank Mix
- Field: 40 acres
- Label rate: 1 qt/A herbicide
- Calibrated GPA: 15
- Total spray solution = 40 x 15 = 600 gallons
- Total herbicide = 40 x 1 qt = 40 qt = 10 gallons
- Carrier water = 600 - 10 = 590 gallons
If the tank holds 300 gallons, you will make two batches of 300 gallons each, each treating 20 acres and each containing 20 qt (5 gallons) of herbicide plus 295 gallons of water.
Adjuvant Rates
Adjuvants (surfactants, oils, drift control agents) are added as a percent of finished spray volume (% v/v) or as a percent of spray volume. Convert percent to a volume per gallon:
fl oz adjuvant per gallon = (% x 128) / 100
Worked Example 4: Surfactant
- Label: add nonionic surfactant at 0.25% v/v
- Per gallon: (0.25 x 128) / 100 = 0.32 fl oz/gal
- For a 300-gallon tank: 300 x 0.32 = 96 fl oz = 0.75 gallon of surfactant
Crop oil concentrate (COC) labels often call for 1% v/v, which is 1.28 fl oz/gal, or 1 gallon per 100 gallons of spray.
Percent Active Ingredient
The percent active ingredient (% ai) printed on the label tells you how much of the formulated product is the active chemical. To compare two formulations or to hit a lb ai/A recommendation:
lb ai/A = (product rate, lb/A) x (% ai / 100)
Worked Example 5: Comparing Formulations
- Product A: 4 lb/gal emulsifiable concentrate, 4 lb ai per gallon
- Product B: 2 lb/gal aqueous solution, 2 lb ai per gallon
- Label calls for 1 lb ai/A
- Product A rate = 1 / 4 = 0.25 gal/A = 1 qt/A
- Product B rate = 1 / 2 = 0.5 gal/A = 2 qt/A
The same lb ai/A needs twice as much Product B because it is half as concentrated.
Dilution Calculations
Dilution problems ask how much of a concentrated product to mix to reach a target concentration. Use the mass-balance relation:
C1 x V1 = C2 x V2
where C is concentration and V is volume, with product 1 the concentrated source and product 2 the finished spray.
Worked Example 6: Dilution
You need 100 gallons of a 1% spray solution from a 50% concentrated product.
- C1 = 50%, C2 = 1%, V2 = 100 gal
- V1 = (C2 x V2) / C1 = (1 x 100) / 50 = 2 gallons of concentrate
- Carrier = 100 - 2 = 98 gallons of water
Tank-Mix Math with Multiple Products
When the label allows a tank mix, sum each product's per-acre amount first, then subtract the total product volume from the spray solution to find the carrier.
Worked Example 7: Two-Product Tank Mix
- Field: 30 acres; GPA: 10
- Herbicide A: 1 qt/A; Herbicide B: 0.5 pt/A; Surfactant: 0.25% v/v
- Total spray solution = 30 x 10 = 300 gallons
- Herbicide A = 30 x 1 qt = 30 qt = 7.5 gallons
- Herbicide B = 30 x 0.5 pt = 15 pt = 1.875 gallons
- Surfactant = 300 x 0.32 fl oz/gal = 96 fl oz = 0.75 gallon
- Total product = 7.5 + 1.875 + 0.75 = 10.125 gallons
- Carrier water = 300 - 10.125 = 289.875 gallons
Mixing Order and Safety
Always follow the label's mixing order. A common sequence is:
- Start agitation and add half the carrier.
- Add dry formulations (wettable powders, dry flowables, water-dispersible granules).
- Add liquids (flowables, emulsifiable concentrates, soluble liquids).
- Add adjuvants (surfactants, oils).
- Add the rest of the carrier and keep agitating.
Never add water to concentrated pesticide; always add pesticide to water. Keep agitation running during spraying so suspensions do not settle. Mix and load on a pad or away from wells and surface water to prevent contamination of Iowa groundwater.
A 40-acre field will be sprayed at 15 GPA with a herbicide rate of 1 qt/A. How much total spray solution and how much herbicide are needed?
A label calls for 1 lb ai/A. You have a 4 lb/gal emulsifiable concentrate. How much product do you apply per acre?