1. What is Atomicity given Ratio of Molar Heat Capacity?

Definition: This calculator determines the atomicity (number of atoms per molecule) of a non-linear molecule based on its ratio of molar heat capacities (γ = Cp/Cv).

Purpose: It helps in understanding molecular structure and degrees of freedom in thermodynamics.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

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

Explanation: The formula relates the heat capacity ratio to the degrees of freedom in a non-linear molecule, which determines its atomicity.

3. Importance of Atomicity Calculation

Details: Knowing atomicity helps predict thermodynamic properties, vibrational modes, and energy distribution in molecules.

4. Using the Calculator

Tips: Enter the ratio of molar heat capacities (γ = Cp/Cv). For non-linear molecules, γ must be greater than 1.

5. Frequently Asked Questions (FAQ)

Q1: What is the range of valid γ values?
A: For non-linear molecules, γ must be >1. For γ=4/3 (1.333), N=2 (diatomic). As γ approaches 1, N approaches infinity.

Q2: Why is this for non-linear molecules only?
A: Non-linear molecules have 3 rotational degrees of freedom, while linear molecules have only 2, requiring a different formula.

Q3: What's a typical γ value for common gases?
A: For polyatomic gases, γ is typically between 1.1 and 1.4 (e.g., 1.33 for CO2, 1.31 for CH4).

Q4: How does atomicity relate to degrees of freedom?
A: Atomicity determines the total degrees of freedom (3N), which includes translational, rotational, and vibrational modes.

Q5: Can this be used for linear molecules?
A: No, linear molecules use a different formula: N = (5γ - 3)/(3γ - 3).