1. What is Pressure of Gas given most probable Speed and Volume?

Definition: This calculator determines the pressure exerted by a gas based on its molar mass, most probable velocity of molecules, and the volume it occupies.

Purpose: It helps in understanding gas behavior and calculating pressure in kinetic theory applications.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( P \) — Pressure of gas (Pascals)
• \( M \) — Molar mass of gas (kg/mol)
• \( C_{mp} \) — Most probable velocity (m/s)
• \( V \) — Volume of gas (m³)

Explanation: The pressure is calculated from the kinetic energy of gas molecules moving at the most probable velocity.

3. Importance of Gas Pressure Calculation

Details: Understanding gas pressure is crucial in thermodynamics, chemical engineering, and various industrial applications involving gases.

4. Using the Calculator

Tips: Enter the molar mass in kg/mol, most probable velocity in m/s, and volume in m³. All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What is most probable velocity?
A: It's the velocity at which the maximum number of gas molecules are moving at a given temperature.

Q2: How does molar mass affect pressure?
A: Heavier molecules (higher molar mass) at the same velocity create higher pressure.

Q3: What units should I use?
A: Use kg/mol for molar mass, m/s for velocity, and m³ for volume to get pressure in Pascals.

Q4: Is this formula valid for all gases?
A: Yes, it applies to ideal gases following kinetic molecular theory.

Q5: How does volume affect pressure?
A: Pressure is inversely proportional to volume when other factors remain constant.