1. What is Internal Molar Energy of Linear Molecule?

Definition: The molar internal energy of a linear molecule is the energy contained within it, calculated based on its atomicity and temperature.

Purpose: This calculation helps in understanding the thermodynamic properties of linear molecules in various states.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( U_{molar} \) — Molar internal energy (Joules)
• \( N \) — Atomicity (number of atoms in the molecule)
• \( [R] \) — Universal gas constant (8.314 J/mol·K)
• \( T \) — Temperature (Kelvin)

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

3. Importance of Molar Internal Energy Calculation

Details: Understanding molar internal energy is crucial for thermodynamic analysis, predicting molecular behavior, and designing chemical processes.

4. Using the Calculator

Tips: Enter the atomicity (whole number ≥1) and temperature in Kelvin (positive value). The calculator will compute the molar internal energy.

5. Frequently Asked Questions (FAQ)

Q1: What is atomicity in this context?
A: Atomicity refers to the total number of atoms present in a molecule (e.g., 2 for O₂, 3 for CO₂).

Q2: Why is the formula different for linear molecules?
A: Linear molecules have one less rotational degree of freedom compared to nonlinear molecules, affecting their energy distribution.

Q3: What temperature scale should be used?
A: The calculator requires temperature in Kelvin (absolute temperature scale).

Q4: Can this be used for nonlinear molecules?
A: No, this formula is specific to linear molecules. Nonlinear molecules have a different degrees of freedom calculation.

Q5: What are typical values for molar internal energy?
A: Values vary widely depending on temperature and molecular complexity, ranging from hundreds to thousands of Joules per mole.