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Shrinkage Estimate Calculate Density Gravity Solution Blend Mixture

Reference data and engineering information about shrinkage estimate calculate density gravity solution blend mixture for chemistry applications.

shrinkageestimatecalculatedensityData Table

Overview

Engineering reference data for Shrinkage Estimate Calculate Density Gravity Solution Blend Mixture in chemistry.

Key Formulas

Ideal Gas Law

PV=nRTPV = nRT

Pressure × Volume = moles × gas constant × temperature.

Molarity

M=nVM = \frac{n}{V}

Moles of solute per liter of solution.

pH

pH=log10[H+]pH = -\log_{10}[H^+]

Measure of acidity.

Variables

SymbolDescriptionUnit
PPPressurePa
VVVolume
nnMolesmol
RRGas constant8.314 J/(mol·K)

Shrinkage Effect

When mixing liquids with significantly different molecular sizes, the actual solution density is higher than predicted by the basic linear equation (1). This phenomenon is called shrinkage because smaller molecules occupy voids between larger ones, creating a more compact structure.

Shrinkage magnitude depends on:

  • Size difference between solvent and solute molecules (larger difference → greater shrinkage)
  • Molecular shape and polarity (secondary factors)

The effect is most pronounced around 50 wt% concentration, as demonstrated in the following data:

5 rows
Ethanol-water solution density at 20°C showing shrinkage effect
Mass% ethanol(%)
Measured density(g/cm³)
Estimated density(g/cm³)
Difference(%)
00.9982--
200.96870.95641.27
500.91390.89382.20
700.86760.85201.80
1000.7893--

Source: engineeringtoolbox.com

For ethanol-water mixtures, shrinkage is minimal below 20% and above 70% ethanol. Similar behavior occurs in formic acid-water and acetic acid-water systems, where shrinkage increases with molecular size disparity.

Interactive Charts

shrinkage

References