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Density Formula with Temperature and Pressure

Gas Density Formula:

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

Pa
kg/mol
K
kg/m³

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1. What is the Gas Density Calculator?

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

Purpose: It helps engineers, chemists, and students determine gas density under various conditions for scientific and industrial applications.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

Explanation: The formula shows that gas density increases with pressure and molar mass, but decreases with temperature.

3. Importance of Gas Density Calculation

Details: Accurate gas density calculations are essential for designing HVAC systems, chemical processes, aerodynamics, and many engineering applications.

4. Using the Calculator

Tips: Enter the pressure in Pascals, molar mass in kg/mol (default 0.02897 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: How do I convert Celsius to Kelvin?
A: Simply add 273.15 to the Celsius temperature (K = °C + 273.15).

Q3: What's a typical molar mass for air?
A: Dry air has an average molar mass of approximately 0.02897 kg/mol.

Q4: Does this work for all gases?
A: This uses the ideal gas law which works well for most gases at moderate pressures and temperatures.

Q5: How do I convert pressure from atm to Pa?
A: Multiply by 101325 (1 atm = 101325 Pa).

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