1. What is Density?

Density (ρ) is a physical property of matter defined as mass per unit volume. It's the reciprocal of specific volume (v), which is volume per unit mass. The relationship between them is fundamental in thermodynamics and fluid mechanics.

2. How Does the Calculator Work?

The calculator uses the simple formula:

Where:

• \( \rho \) — Density (kg/m³)
• \( v \) — Specific volume (m³/kg)

Explanation: The density is simply the reciprocal of the specific volume. This relationship holds true for any homogeneous substance.

3. Importance of Density Calculation

Details: Density is crucial in many engineering and scientific applications including buoyancy calculations, material selection, fluid dynamics, and thermodynamic analysis.

4. Using the Calculator

Tips: Enter specific volume in m³/kg. The value must be positive (v > 0). The calculator will compute the corresponding density in kg/m³.

5. Frequently Asked Questions (FAQ)

Q1: What are typical density values for common materials?
A: Water at 4°C has ρ ≈ 1000 kg/m³, air at sea level ≈ 1.225 kg/m³, steel ≈ 7850 kg/m³.

Q2: How does temperature affect density?
A: For most substances, density decreases with increasing temperature due to thermal expansion.

Q3: What's the difference between density and specific gravity?
A: Specific gravity is the ratio of a substance's density to the density of water at 4°C (1000 kg/m³).

Q4: Can this calculator be used for gases?
A: Yes, but remember gas density varies significantly with pressure and temperature.

Q5: What are the SI units for density?
A: The standard SI unit is kilograms per cubic meter (kg/m³).