Specific Volume Calculator — Density & Volume Calculator
Calculate specific volume, density, volume, or mass using thermodynamic relationships. Essential for fluid mechanics, thermodynamics, and materials science. See also our Density Converter and Volume Converter.
How to Calculate Specific Volume
- Select what you want to calculate from the dropdown menu.
- Enter the known values in the input fields.
- Click Calculate to solve for the unknown variable.
- Results show values in multiple units for convenience.
Specific Volume Formula
Specific Volume:
v = V / m = 1 / ρ
Where:
v = Specific volume (m³/kg)
V = Total volume (m³)
m = Mass (kg)
ρ = Density (kg/m³)
Related equations:
ρ = m / V = 1 / v
V = m × v
m = V / v = ρ × V
Ideal gas law relationship:
v = RT / P
Where: R = specific gas constant, T = temperature, P = pressureExample Calculation
Problem: 10 kg of water occupies 0.01 m³. Find the specific volume.
Given: m = 10 kg, V = 0.01 m³
Solution: v = V / m = 0.01 / 10 = 0.001 m³/kg = 1 L/kg
Answer: The specific volume is 0.001 m³/kg or 1 L/kg.
Specific Volume Reference Table
| Substance | Density (kg/m³) | Specific Volume (m³/kg) |
|---|---|---|
| Water (liquid, 20°C) | 998 | 1.002×10⁻³ |
| Ice (0°C) | 917 | 1.091×10⁻³ |
| Steam (100°C, 1 atm) | 0.598 | 1.673 |
| Air (20°C, 1 atm) | 1.204 | 0.831 |
| Aluminum | 2700 | 3.704×10⁻⁴ |
| Steel | 7850 | 1.274×10⁻⁴ |
| Lead | 11340 | 8.818×10⁻⁵ |
| Mercury | 13534 | 7.389×10⁻⁵ |
| Gasoline | 750 | 1.333×10⁻³ |
| Ethanol | 789 | 1.267×10⁻³ |
| Hydrogen (STP) | 0.0899 | 11.12 |
| Helium (STP) | 0.1785 | 5.602 |
Technical Details
Specific volume is the volume occupied by a unit mass of substance, expressed as the reciprocal of density. It's an intensive property that doesn't depend on the amount of material present. Specific volume is particularly important in thermodynamics for analyzing gas behavior, steam tables, and phase changes. For ideal gases, specific volume is related to temperature and pressure through the ideal gas law. In engineering applications, specific volume helps determine storage requirements, pump sizing, and heat exchanger design. The SI unit is m³/kg, though L/kg and ft³/lb are also commonly used.
Frequently Asked Questions
What is specific volume?
Specific volume is the volume per unit mass of a substance. It's the reciprocal of density and tells you how much space one kilogram of material occupies.
How does specific volume relate to density?
Specific volume and density are reciprocals: v = 1/ρ. High density materials have low specific volume (compact), while low density materials have high specific volume (expanded).
Why is specific volume important in thermodynamics?
Specific volume is a key property in steam tables, gas calculations, and phase change analysis. It helps determine work done by expanding gases and sizing of thermal equipment.
How does temperature affect specific volume?
For most substances, specific volume increases with temperature due to thermal expansion. For gases, the relationship follows the ideal gas law: v ∝ T/P at constant pressure.
What's the difference between specific volume and molar volume?
Specific volume is volume per unit mass (m³/kg), while molar volume is volume per mole (m³/mol). They're related by molecular weight: v_molar = v_specific × M.