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💧 Water Density Calculator

Water Density Calculator

Inputs

Results

Density- lb/ft³
Specific Weight- lbf/ft³
Dynamic Viscosity- Pa·s

Calculator Description

Water density varies with temperature, reaching its maximum (approximately 1000 kg/m³) at 4°C. This calculator computes water density from temperature using a polynomial approximation formula.

What this calculator finds

It calculates water density at a given temperature (0–100°C range) in kg/m³ or g/cm³. Both liquid water (default) and steam are supported.

Why it matters

  • Density directly affects Reynolds number, flow rate, pressure drop, and other fluid dynamics calculations
  • Buoyancy force in natural convection is determined by density differences in heat transfer calculations
  • Accurate water density is needed for adjusting reactant concentration and flow rates in chemical processes

Formula

Polynomial Approximation for Water Density

A simplified version of Kell's polynomial is used, providing accuracy within ±0.05% over the 0–100°C range.

ρ(T)=999.842594+6.793952×102T9.095290×103T2+1.001685×104T31.120083×106T4\rho(T) = 999.842594 + 6.793952{\times}10^{-2}T - 9.095290{\times}10^{-3}T^{2} + 1.001685{\times}10^{-4}T^{3} - 1.120083{\times}10^{-6}T^{4}
  • ρ(T)Water density at temperature T [kg/m³]
  • TTemperature in Celsius [°C] (0–100°C)

Reference density values

  • 0°C: 999.8 kg/m³
  • 4°C: 1000.0 kg/m³ (maximum density)
  • 20°C: 998.2 kg/m³
  • 100°C: 958.4 kg/m³

Useful Tips

Practical tips

  • For general process calculations, 998.2 kg/m³ at 20°C is commonly used as an approximation
  • Density change is minimal near 4°C, so temperature effects are small in chilled water systems
  • Seawater density differs from fresh water at approximately 1025 kg/m³ due to salinity (~3.5%)

Limitations & cautions

  • This formula is for pure (distilled) water and does not account for density changes from dissolved salts or gases
  • At high pressures (>10 bar), pressure-induced density changes must be considered separately
  • Freezing causes ~9% volume expansion, requiring caution in freeze protection design