1. What is the Pressure For External Work Done By Gas In Adiabatic Process Introducing Pressure Formula?

The formula calculates the final pressure (P2) in an adiabatic process where external work is done by the gas, considering the heat capacity ratio, initial pressure, and specific volumes at two points.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( P2 \) — Pressure at point 2 (Pa)
• \( w \) — Work done (J)
• \( C \) — Heat capacity ratio (-)
• \( P1 \) — Pressure at point 1 (Pa)
• \( v1 \) — Specific volume at point 1 (m³/kg)
• \( v2 \) — Specific volume at point 2 (m³/kg)

Explanation: The formula accounts for the work done by the gas and the change in specific volume in an adiabatic process to determine the final pressure.

3. Importance of Pressure Calculation

Details: Accurate pressure calculation is crucial for understanding thermodynamic processes, designing engines, and analyzing gas behavior in closed systems.

4. Using the Calculator

Tips: Enter work done in joules, heat capacity ratio (dimensionless), pressure in pascals, and specific volumes in m³/kg. All values must be positive.

5. Frequently Asked Questions (FAQ)

Q1: What is an adiabatic process?
A: An adiabatic process is one where no heat is exchanged with the surroundings, and all work done results in changes in internal energy.

Q2: Why is the heat capacity ratio important?
A: The heat capacity ratio (C) represents the ratio of specific heats and affects how pressure and volume relate in adiabatic processes.

Q3: What are typical values for heat capacity ratio?
A: For monatomic gases, C ≈ 1.67; for diatomic gases, C ≈ 1.4; for polyatomic gases, C ≈ 1.33.

Q4: Can this formula be used for all gases?
A: The formula is generally applicable to ideal gases undergoing adiabatic processes with external work.

Q5: What units should be used for specific volume?
A: Specific volume should be in cubic meters per kilogram (m³/kg) for consistency with SI units.