1. What is Specific Gas Constant?

The Specific Gas Constant of a gas or a mixture of gases is given by the molar gas constant divided by the molar mass of the gas or mixture. It is a fundamental property used in thermodynamics and fluid dynamics.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( R \) — Specific Gas Constant (J/kg·K)
• \( E_{trans} \) — Kinetic Energy per Mole (J/mol)
• \( T_g \) — Temperature of Gas (K)

Explanation: This formula relates the specific gas constant to the translational kinetic energy per mole and the temperature of the gas, derived from kinetic theory of gases.

3. Importance of Specific Gas Constant Calculation

Details: The specific gas constant is crucial for calculating various thermodynamic properties, including ideal gas law applications, entropy changes, and energy transfer calculations in gas systems.

4. Using the Calculator

Tips: Enter kinetic energy per mole in J/mol and temperature in Kelvin. Both values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is the relationship between specific gas constant and universal gas constant?
A: The specific gas constant (R) equals the universal gas constant (R₀) divided by the molar mass (M) of the gas: R = R₀/M.

Q2: How does temperature affect the specific gas constant?
A: The specific gas constant is a material property and remains constant for a particular gas, independent of temperature and pressure.

Q3: What are typical values of specific gas constant?
A: For air, R ≈ 287 J/kg·K; for hydrogen, R ≈ 4124 J/kg·K; values vary significantly depending on the gas.

Q4: Can this formula be used for all gases?
A: This formula is derived from kinetic theory and applies best to ideal gases under standard conditions.

Q5: How is kinetic energy per mole related to temperature?
A: For ideal gases, the average translational kinetic energy per mole is (3/2)R₀T, where R₀ is the universal gas constant.