1. What is Mass per Molecule?

Mass per molecule is defined as the molar mass of the molecule divided by the Avogadro number. It represents the mass of an individual gas molecule in a system.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( m_P \) — Mass per molecule (kg)
• \( P_{gas} \) — Pressure of gas (Pascal)
• \( V \) — Volume of gas (m³)
• \( N_{molecules} \) — Number of molecules
• \( C_{RMS} \) — Root mean square speed (m/s)

Explanation: This formula derives from the kinetic theory of gases, relating the pressure exerted by gas molecules to their mass and velocity.

3. Importance of Mass Calculation

Details: Calculating mass per molecule is crucial for understanding molecular properties, gas behavior, and for applications in thermodynamics and statistical mechanics.

4. Using the Calculator

Tips: Enter pressure in Pascals, volume in cubic meters, number of molecules, and root mean square speed in m/s. All values must be positive.

5. Frequently Asked Questions (FAQ)

Q1: What is root mean square speed?
A: Root mean square speed is the square root of the average of the squares of the velocities of individual gas molecules.

Q2: How is this formula derived?
A: The formula is derived from the kinetic theory of gases, specifically from the relationship between pressure, volume, and molecular motion.

Q3: What units should be used for input values?
A: Pressure in Pascals, volume in cubic meters, number of molecules as a count, and speed in meters per second.

Q4: Can this calculator be used for any gas?
A: Yes, this formula applies to ideal gases and provides reasonable approximations for real gases under normal conditions.

Q5: What is the typical range of mass per molecule values?
A: Mass per molecule values are typically very small, on the order of 10⁻²⁶ to 10⁻²⁵ kg for common gases.