Sugar Solution Density Calculator

Calculator form

This page stays single-column, while the form fields change to three, two, and one columns across screen sizes.

Input mode

Sugar mass + water mass

Brix / mass percent + total mass

Sugar mass

g

Water mass

g

Brix / sugar mass percent

%

Total solution mass

g

Temperature

°C

Thermal coefficient

1/°C

Displayed decimals

Density trend graph

The chart shows estimated density versus concentration at the selected temperature.

Example data table

These example values use the same density relation at 20 °C.

Brix / % w/w	Density at 20 °C (g/mL)	Specific gravity	Estimated volume for 1000 g (mL)
5	1.0197	1.0215	980.71
10	1.0400	1.0419	961.51
20	1.0830	1.0849	923.37
30	1.1292	1.1312	885.59
40	1.1790	1.1812	848.15
50	1.2330	1.2352	811.05
60	1.2915	1.2938	774.29

Formula used

1) Mass percentage or Brix
Brix ≈ % w/w = (mass of sugar ÷ total solution mass) × 100

2) Density near 20 °C
Density₂₀ ≈ 1 + B / (258.6 − ((B / 258.2) × 227.1))
where B is Brix or sugar mass percent.

3) Temperature correction
Density_T ≈ Density₂₀ × [1 − β(T − 20)]
where β is the thermal coefficient and T is temperature in °C.

4) Volume estimate
Volume = Total mass ÷ Density_T

5) Concentration outputs
Moles of sucrose = sugar mass ÷ 342.2965
Molarity = moles ÷ solution volume in liters
Molality = moles ÷ water mass in kilograms

These equations are practical engineering estimates for sucrose solutions. For laboratory-grade work, validate against measured density tables at the exact concentration and temperature.

How to use this calculator

Select either mass input mode or Brix input mode.
Enter sugar and water masses, or enter Brix and total mass.
Set the solution temperature and thermal coefficient.
Choose how many decimals you want displayed.
Press Calculate density to show results above the form.
Review density, volume, specific gravity, molarity, and the chart.
Use the export buttons to save CSV or PDF reports.

Frequently asked questions

1) What does this calculator estimate?

It estimates sucrose solution density from concentration and temperature. It also reports specific gravity, volume, molarity, molality, Baumé, and sugar concentration per liter.

2) Is Brix the same as sugar mass percent?

For practical sucrose solutions, Brix is commonly treated as percent by mass. The calculator uses that approximation, which works well for routine process and formulation estimates.

3) Why does density change with temperature?

Liquids usually expand as temperature rises. When volume increases while mass stays constant, density decreases. The thermal coefficient applies this correction to the 20 °C density estimate.

4) What range works best here?

The calculator is most useful for ordinary sucrose mixtures from low concentration to roughly 85% by mass and from 0 to 100 °C. Extreme conditions need validated reference data.

5) What is specific gravity in this output?

Specific gravity is the solution density divided by water density at the same temperature. It is dimensionless and helps compare solution heaviness against water.

6) Why include molarity and molality?

These concentration units help in chemistry and process calculations. Molarity depends on solution volume, while molality depends on solvent mass and changes less with temperature.

7) Are the CSV and PDF files based on current results?

Yes. The export buttons use the current calculated values shown in the results table. Run a new calculation first if you want the files to reflect updated inputs.

8) Can I use this for other sugars?

Not directly. The density relation here is tuned for sucrose-style sugar solutions. Other solutes may need different density tables, temperature corrections, and molecular weights.