Density Calculator
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How to use the tool
1 – Fill in the fields
- Mass: Type the number, pick a unit.
Example A: 1.2 kg.
Example B: 2 lb. - Volume: Enter the space the substance occupies.
Example A: 800 mL.
Example B: 0.1 ft³. - Temperature & Pressure (optional): Needed for gases only, choose °C/°F/K and Pa/kPa/atm/mmHg.
2 – Understand the math
The core formula is $$\rho=rac{m}{V}$$ where m is mass and V is volume.
- Unit changes
g → kg: divide by 1 000.
mL → m³: divide by 1 000 000.
ft³ → m³: multiply by 0.028 316 8. - Gas option uses $$\rho=rac{P\,M}{R\,T}$$ with P pressure, T absolute temperature, M molar mass, R = 8.314 J·mol⁻¹·K⁻¹.
3 – Example calculations
- Liquid sample
1.2 kg / 0.000 8 m³ = 1 500 kg/m³. - Imperial input
2 lb = 0.907 kg, 0.1 ft³ = 0.002 832 m³.
Density = 0.907 / 0.002 832 ≈ 321 kg/m³.
Quick-Facts
- Water density: 997 kg/m³ at 25 °C (NIST Chemistry WebBook, 2023)
- Standard air density: 1.225 kg/m³ at 15 °C, 101.325 kPa (NASA Atmosphere Model, 1976)
- Gold density: 19 300 kg/m³ (CRC Handbook, 2022)
- SI unit for density is kg/m³ (BIPM SI Brochure, 2019)
FAQ
What is density?
Density equals mass divided by volume; it shows how much matter occupies a given space (BIPM SI Brochure, 2019).
How does temperature affect gas density?
Raising temperature lowers gas density because molecules spread apart; a 10 °C rise drops air density ≈ 1.9 % (NASA, 1976).
Which unit conversions does the calculator handle?
It converts g↔kg, lb↔kg, oz↔kg and L, mL, cm³, ft³, in³↔m³ automatically.
How can you tell if an object floats?
If its density is below the fluid’s, buoyancy wins and it floats; otherwise it sinks (Archimedes’ Principle, Ancient Greece).
Does pressure change liquid density significantly?
Liquids compress little; a 100 bar rise changes water density by ~0.5 % (Engineering Toolbox, URL).
How precise is the result?
The tool returns four-decimal accuracy, adequate for lab work and design tolerances (ISO 5725-1, 2019).
Can you use it for mixtures?
Yes—input total mass and total volume to get bulk density; individual components remain unresolved (Perry’s Handbook, 2021).
How do I convert kg/m³ to g/cm³?
Divide by 1 000: “1 000 kg/m³ = 1 g/cm³” (NIST, 2023).
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