Enter the mass of sucrose and the total mass of solution into the calculator below. The calculator will evaluate and display the concentration in degrees Brix (°Bx), which is the mass percent of sucrose (g sucrose per 100 g solution, w/w).
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Brix (°Bx) Formula (by Mass)
The following formula is used to calculate degrees Brix (°Bx) from masses. °Bx is a concentration (mass percent of sucrose), not a density.
^{\circ}\!Bx = \frac{Su}{So}\times 100- 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)?
The following example problems outline how to calculate °Brix (°Bx).
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) = ?
