Density of Hydrogen (H₂) in kg/m³

Hydrogen Density Formula:

\[ \rho = \frac{P \times M}{R \times T} \]

Density (ρ): kg/m³

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1. What is Hydrogen Density Calculator?

Definition: This calculator estimates the density of hydrogen gas (H₂) based on pressure and temperature using the ideal gas law.

Purpose: It helps scientists, engineers, and students determine hydrogen gas density for various applications including fuel cells, chemical processes, and research.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \rho = \frac{P \times M}{R \times T} \]

Where:

\( \rho \) — Density of hydrogen (kg/m³)
\( P \) — Pressure (Pascals)
\( M \) — Molar mass of hydrogen (0.002 kg/mol)
\( R \) — Universal gas constant (8.314 J/(mol·K))
\( T \) — Temperature (Kelvin)

Explanation: The density increases with pressure and decreases with temperature, following the ideal gas law.

3. Importance of Hydrogen Density Calculation

Details: Accurate density calculations are crucial for storage system design, safety assessments, and performance calculations in hydrogen applications.

4. Using the Calculator

Tips: Enter the pressure in Pascals (default 101325 Pa for STP) and temperature in Kelvin (default 273.15 K for 0°C). All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What's the density at standard conditions?
A: At STP (101325 Pa, 273.15 K), hydrogen density is approximately 0.0899 kg/m³.

Q2: How does temperature affect density?
A: Density decreases as temperature increases (inverse relationship).

Q3: How does pressure affect density?
A: Density increases linearly with pressure (direct relationship).

Q4: Is this accurate for high pressures?
A: The ideal gas law works well for moderate pressures. For very high pressures, real gas corrections may be needed.

Q5: Why is hydrogen's molar mass 0.002 kg/mol?
A: H₂ has a molecular weight of 2 g/mol, which equals 0.002 kg/mol.