1. What is the Ideal Gas Law?

The ideal gas law is a fundamental equation in thermodynamics that describes the relationship between pressure, volume, temperature, and the amount of gas. The equation P = ρRT/M calculates pressure from density, gas constant, temperature, and molar mass.

2. How Does the Calculator Work?

The calculator uses the ideal gas law equation:

Where:

• \( P \) — Pressure (Pa)
• \( \rho \) — Density (kg/m³)
• \( R \) — Gas constant (J/kg·K)
• \( T \) — Temperature (K)
• \( M \) — Molar mass (kg/mol)

Explanation: The equation calculates pressure by multiplying density, gas constant, and temperature, then dividing by molar mass.

3. Importance of Pressure Calculation

Details: Accurate pressure calculation is crucial for various applications including atmospheric studies, engineering systems, chemical processes, and fluid dynamics analysis.

4. Using the Calculator

Tips: Enter density in kg/m³, gas constant in J/kg·K, temperature in Kelvin, and molar mass in kg/mol. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is the ideal gas constant value for air?
A: The gas constant for dry air is approximately 287 J/kg·K.

Q2: Why use Kelvin for temperature?
A: Kelvin is an absolute temperature scale required for thermodynamic calculations where 0K represents absolute zero.

Q3: What is typical molar mass for air?
A: The molar mass of dry air is approximately 0.02897 kg/mol.

Q4: When is the ideal gas law applicable?
A: The ideal gas law works well for gases at low pressures and high temperatures where intermolecular forces are negligible.

Q5: What are the limitations of the ideal gas law?
A: The law becomes less accurate at high pressures, low temperatures, and for gases with strong intermolecular interactions.