Two Nutrient Solution Balance Calculator
Solve two product masses that jointly meet two elemental concentration additions in a fixed solution volume.
YOUR CALCULATION
Result
—
Calculation steps
Work through one step at a time or reveal the complete calculation. The steps use your current inputs.
How to calculate
Form a two-by-two elemental mass balance and require a unique nonnegative product-mass solution.
a1 m1+a2 m2=volume×target A; b1 m1+b2 m2=volume×target B
Worked example
100 L needing 100 mg/L element A and 50 mg/L element B requires 50 g of a 20% A-only product and 50 g of a 10% B-only product.
Assumptions and input details
Use elemental mass percentages, not oxide-equivalent fertilizer labels; existing concentrations must be subtracted from targets before entry. No plant nutrient targets, solubility, compatibility, precipitation, water chemistry or mixing instructions are provided.
Unit definitions
Unit selection is independent of language. Each selector contains only units for its physical quantity. Calculations use defined base units internally.
The 36 volume definitions distinguish US liquid, US dry and Imperial measures. Cups carry an explicit definition. Japanese shō is 2401/1331 L and a gō is one tenth of it; the explicitly labelled 180 mL rice cup is separate.
Regional measures are not interchangeable merely because their names look similar. This is a documented selection, not a claim to include every historical unit.
NIST measurement tables · UK Imperial definitions · Japanese traditional units · Mainland China and Hong Kong unit distinctions
Using this calculator
Can I enter my own problem?
Yes. Replace the example values with your own inputs. The result, calculation steps, tables and applicable diagrams update from those inputs. Blank or invalid values clear the result; example values are never silently substituted for missing inputs.
Are the results exact?
Results use floating-point arithmetic and displayed rounding. Read the formula, assumptions and any stated data precision before interpreting the result.
Is my input uploaded?
The calculation runs in your browser. No account, file upload or external AI service is required. Inputs are not saved between page reloads.
Calculate product mass and declared nutrient-equivalent contributions for an entered area and target rate.
Solve two linear equations in x and y. See determinants, substitution checks and the two lines, including parallel or coincident cases.
Convert mass fraction, mass percent, mass ppm, g/L, mg/L and mol/L using an explicit solution density and solute molar mass.
Reserved advertising space.