1. What is Thermal Energy of Linear Polyatomic Gas?

Definition: This calculator computes the average thermal energy of a linear polyatomic gas molecule based on its atomicity and temperature.

Purpose: It helps in understanding the energy distribution in polyatomic gas molecules, important in thermodynamics and kinetic theory.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( Q \) — Thermal energy (Joules)
• \( N \) — Atomicity (number of atoms in molecule)
• \( k \) — Boltzmann constant (1.38064852 × 10⁻²³ J/K)
• \( T \) — Temperature (Kelvin)

Explanation: The formula accounts for degrees of freedom in a linear polyatomic molecule, where (6N-5) represents the effective degrees of freedom.

3. Importance of Thermal Energy Calculation

Details: Understanding thermal energy helps predict molecular behavior, heat capacity, and energy transfer in thermodynamic systems.

4. Using the Calculator

Tips: Enter the atomicity (minimum 3 for polyatomic molecules) and temperature in Kelvin. All values must be positive.

5. Frequently Asked Questions (FAQ)

Q1: Why is atomicity important in this calculation?
A: Atomicity determines the degrees of freedom of the molecule, which directly affects its thermal energy.

Q2: What's the Boltzmann constant?
A: It's a fundamental physical constant that relates energy at the individual particle level with temperature.

Q3: Does this formula work for nonlinear molecules?
A: No, nonlinear polyatomic molecules have a different degrees of freedom calculation (6N-6).

Q4: What are typical atomicity values?
A: For example, CO₂ (N=3), C₂H₂ (N=4), etc. Must be ≥3 for polyatomic molecules.

Q5: Why is temperature in Kelvin?
A: Kelvin is the absolute temperature scale required for thermodynamic calculations.