1. What is the Volume of Gas Formula?

The formula \( V = \frac{2}{3} \times \frac{E_{trans}}{p} \) calculates the volume of gas based on the total kinetic energy per mole and pressure. This relationship is derived from the kinetic theory of gases, connecting the macroscopic properties of gases with molecular motion.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( V \) — Volume of Gas (m³)
• \( E_{trans} \) — Total Kinetic Energy per Mole (J/mol)
• \( p \) — Pressure (Pa)

Explanation: The formula demonstrates that the volume of gas is directly proportional to the kinetic energy and inversely proportional to the pressure applied.

3. Importance of Volume Calculation

Details: Accurate volume calculation is essential for understanding gas behavior under different conditions, designing containment systems, and various engineering applications involving gases.

4. Using the Calculator

Tips: Enter total kinetic energy per mole in J/mol and pressure in Pa. All values must be valid (positive numbers greater than zero).

5. Frequently Asked Questions (FAQ)

Q1: What units should be used for input values?
A: Kinetic energy should be in joules per mole (J/mol) and pressure in pascals (Pa) for accurate results.

Q2: How is this formula derived?
A: The formula is derived from the kinetic theory of gases, relating the macroscopic properties of pressure and volume to the microscopic kinetic energy of gas molecules.

Q3: What are typical values for gas volume calculations?
A: Volume values can range from very small (cubic centimeters) to very large (cubic meters) depending on the specific gas system being analyzed.

Q4: Are there limitations to this formula?
A: This formula assumes ideal gas behavior and may be less accurate for real gases under extreme conditions of temperature and pressure.

Q5: Can this be used for all types of gases?
A: The formula works best for ideal gases. For real gases, additional correction factors may be needed to account for molecular interactions.