1. What is Ratio of Molar Heat Capacity for Non-Linear Molecules?

Definition: This calculator computes the ratio of molar heat capacities (γ = Cp/Cv) for non-linear polyatomic molecules based on their atomicity.

Purpose: It helps in thermodynamics calculations to understand how energy is distributed in non-linear molecules.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( \gamma \) — Ratio of molar heat capacities (Cp/Cv)
• \( N \) — Atomicity (number of atoms in the molecule)

Explanation: For non-linear molecules, the formula accounts for translational, rotational, and vibrational degrees of freedom.

3. Importance of γ Calculation

Details: The ratio γ is crucial in thermodynamics for calculating adiabatic processes, sound speed in gases, and understanding molecular energy distribution.

4. Using the Calculator

Tips: Enter the atomicity (minimum 3 for non-linear molecules). The calculator will compute the γ value.

5. Frequently Asked Questions (FAQ)

Q1: Why is atomicity limited to ≥3?
A: This calculator is specifically for non-linear molecules, which must have at least 3 atoms.

Q2: What's a typical γ value for common gases?
A: For triatomic non-linear molecules (N=3), γ ≈ 1.167. For more complex molecules, γ approaches 1.

Q3: How does γ change with temperature?
A: This simple model doesn't account for temperature effects. At higher temps, vibrational modes become active, changing γ.

Q4: What's the difference between linear and non-linear molecules?
A: Linear molecules have different degrees of freedom, resulting in a different formula for γ.

Q5: Can I use this for ideal monatomic or diatomic gases?
A: No, use γ = 5/3 for monatomic and γ = 7/5 for diatomic gases instead.