1. What is Emissivity Per Unit Mole?

Emissivity per unit mole measures an object's ability to emit infrared energy per mole of substance. It quantifies the efficiency of thermal radiation emission at the molecular level.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( [BoltZ] \) — Boltzmann constant (1.38064852×10⁻²³ J/K)
• \( T_g \) — Temperature of Gas in Kelvin

Explanation: This formula calculates the translational component of emissivity per mole based on the kinetic theory of gases and Boltzmann's constant.

3. Importance of Emissivity Calculation

Details: Accurate emissivity calculation is crucial for thermal radiation studies, heat transfer analysis, and understanding molecular energy emission properties in various scientific and engineering applications.

4. Using the Calculator

Tips: Enter the gas temperature in Kelvin. The value must be valid (temperature > 0 K).

5. Frequently Asked Questions (FAQ)

Q1: What is the physical significance of emissivity per unit mole?
A: It represents the amount of infrared energy emitted per mole of substance, which is important for understanding thermal radiation properties at the molecular level.

Q2: How does temperature affect emissivity per unit mole?
A: Emissivity per unit mole increases linearly with temperature according to the formula ε = (3/2)×[BoltZ]×T.

Q3: What are typical values for emissivity per unit mole?
A: Values are typically very small (on the order of 10⁻²¹ J/mol) due to the small value of Boltzmann's constant.

Q4: Can this formula be applied to all gases?
A: This formula provides the translational component for ideal gases. For real gases and different molecular structures, additional factors may need to be considered.

Q5: How is this related to the kinetic theory of gases?
A: The formula derives from the equipartition theorem, which states that each translational degree of freedom contributes (1/2)kT to the energy per molecule.