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Density of Gas Calculator

Gas Density Formula:

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

Pa
kg/mol
K

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1. What is a Density of Gas Calculator?

Definition: This calculator estimates the density of a gas based on pressure, molar mass, and temperature using the ideal gas law.

Purpose: It helps scientists, engineers, and students determine gas density for various applications in chemistry, physics, and engineering.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

Explanation: The formula is derived from the ideal gas law, showing how gas density increases with pressure and molar mass, but decreases with temperature.

3. Importance of Gas Density Calculation

Details: Gas density calculations are essential for designing chemical processes, predicting gas behavior, calculating buoyancy, and solving various engineering problems.

4. Using the Calculator

Tips: Enter the pressure in Pascals, molar mass in kg/mol (default 0.02896 for air), and temperature in Kelvin (default 293.15K = 20°C). All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What is the universal gas constant (R)?
A: R = 8.314 J/(mol·K) is a fundamental physical constant that appears in the ideal gas law.

Q2: What's a typical molar mass for air?
A: Dry air has an average molar mass of approximately 0.02896 kg/mol.

Q3: How do I convert Celsius to Kelvin?
A: Kelvin = Celsius + 273.15. So 25°C = 298.15K.

Q4: When does this calculation not apply?
A: For very high pressures or very low temperatures where real gas behavior deviates from ideal gas assumptions.

Q5: How do I find molar mass of a gas?
A: Molar mass is the sum of atomic masses of all atoms in the molecule. For example, O₂ is 2×16 = 32 g/mol = 0.032 kg/mol.

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