1. What is Pressure of Gas given Compressibility Factor?

Definition: This calculator determines the pressure of a real gas using the compressibility factor, temperature, and molar volume.

Purpose: It helps in understanding the behavior of real gases which deviate from ideal gas behavior, especially at high pressures or low temperatures.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( P \) — Pressure of gas (Pascal)
• \( z \) — Compressibility factor (dimensionless)
• \( R \) — Universal gas constant (8.314 J/mol·K)
• \( T \) — Temperature of gas (Kelvin)
• \( V_m \) — Molar volume of real gas (m³/mol)

Explanation: The compressibility factor accounts for the deviation from ideal gas behavior, modifying the ideal gas law to apply to real gases.

3. Importance of Compressibility Factor

Details: The compressibility factor (z) indicates how much a real gas deviates from ideal gas behavior. At z=1, the gas behaves ideally.

4. Using the Calculator

Tips: Enter the compressibility factor, temperature in Kelvin, and molar volume in cubic meters. All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What is a typical compressibility factor range?
A: For most gases, z ranges from 0.7 to 1.2 under normal conditions, but can vary significantly at extreme pressures/temperatures.

Q2: How do I find the compressibility factor?
A: It can be determined experimentally or from compressibility charts using reduced pressure and temperature.

Q3: Why use this instead of ideal gas law?
A: This provides more accurate results for real gases, especially at high pressures (>10 bar) or low temperatures.

Q4: What units should I use?
A: Temperature must be in Kelvin, molar volume in cubic meters, and the result is in Pascals.

Q5: What's the universal gas constant value?
A: R = 8.31446261815324 J/(mol·K) is used in this calculation.