Sugar Solubility Water

Overview

Engineering reference data for Sugar Solubility Water in miscellaneous.

Key Formulas

Unit Conversion

$y = x \cdot k$

Multiply by conversion factor.

Linear Interpolation

$y = y_1 + \frac{(x - x_1)(y_2 - y_1)}{x_2 - x_1}$

Estimate between two known points.

Percentage

$p = \frac{\text{part}}{\text{whole}} \times 100\%$

Part as fraction of whole.

Variables

Solubility Relationship

The relationship between sucrose concentration and temperature can be expressed as: $\text{Solubility (\% w/w)} = \frac{\text{Mass of sucrose dissolved}}{\text{Total mass of solution}} \times 100$

For engineering calculations involving dissolving sugar in water: $m_{\text{sucrose}} = m_{\text{water}} \times \frac{C}{100 - C}$ where $C$ is the desired sucrose concentration in percent weight.

Solution Properties

The specific gravity (SG) of sugar solutions increases with concentration. For practical engineering estimates: $SG \approx 1 + 0.004 \times C$ where $C$ is the sucrose concentration in percent weight (for concentrations < 80%).

Mass fraction $w$ relates to weight percent as: $w = \frac{C}{100}$

Volume fraction of sucrose in solution: $\phi_{\text{sucrose}} = \frac{w / \rho_{\text{sucrose}}}{(w / \rho_{\text{sucrose}}) + ((1 - w) / \rho_{\text{water}})}$ where $\rho_{\text{sucrose}} \approx 1.587 \text{ g/cm}^3$ and $\rho_{\text{water}} \approx 1.000 \text{ g/cm}^3$.

For saturated solutions, the maximum solubility follows an approximately exponential relationship with temperature.

References

• Original Source