Choose Brix, sucrose mass, total solution mass, sucrose to add or water to add. This mass-balance model assumes sucrose and water with complete dissolution and no losses; it does not calculate physical density.
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Brix (°Bx) Formula (by Mass)
The following formula calculates sucrose mass concentration. For sucrose-water solutions this corresponds to degrees Brix (°Bx), not density. Other dissolved substances affect measured Brix. No temperature correction or solubility check is included; 100% is a mathematical pure-sucrose endpoint.
- Where °Bx is degrees Brix, equal to the mass percent of sucrose: grams of sucrose per 100 g of solution (w/w).
- Su is the mass of sucrose (any mass unit).
- So is the total mass of solution (same mass unit as Su).
To calculate °Bx by mass, divide the mass of sucrose by the total mass of solution, then multiply by 100 (equivalently, divide by So/100).
How to Calculate °Brix (by Mass)?
Choose Brix from masses, enter sucrose and total solution masses, then select Calculate. For additions, enter current mass and concentrations: added sucrose = mass × (target − current)/(100 − target); added water = mass × (current − target)/target. Equal concentrations need zero addition. The following examples use the mass model.
Example Problem #1:
- First, determine the mass of sucrose.
- The mass of sucrose is given as: 12 g.
- Next, determine the total mass of solution.
- The mass of solution is provided as: 600 g.
- Finally, calculate °Brix using the equation above:
°Bx = Su / (So/100)
The values given above are inserted into the equation below:
°Bx = 12 / (600/100) = 2 °Bx (≈ 2% w/w sucrose)
Example Problem #2:
For this problem, the variables needed are provided below:
mass of sucrose (g) = 12
mass of solution (g) = 50
This example problem is a test of your knowledge on the subject. Use the calculator above to check your answer.
°Bx = Su / (So/100) = ?
