1. What is Molar Volume of Real Gas given Compressibility Factor?

Definition: This calculator determines the molar volume of a real gas by accounting for its deviation from ideal gas behavior through the compressibility factor.

Purpose: It helps chemists and engineers accurately calculate gas volumes under non-ideal conditions.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( V_{molar} \) — Molar volume of real gas (m³/mol)
• \( z \) — Compressibility factor (dimensionless)
• \( V_{m(ideal)} \) — Molar volume of ideal gas (m³/mol)

Explanation: The compressibility factor corrects the ideal gas volume for real gas behavior under specific temperature and pressure conditions.

3. Importance of Compressibility Factor

Details: The compressibility factor accounts for molecular interactions and finite molecular volumes in real gases, which are neglected in ideal gas calculations.

4. Using the Calculator

Tips: Enter the compressibility factor (typically between 0 and 2) and the molar volume of ideal gas. Both values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What is the compressibility factor?
A: It's a dimensionless factor that quantifies how much a real gas deviates from ideal gas behavior (z=1 for ideal gases).

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

Q3: When is the compressibility factor most important?
A: At high pressures or low temperatures where gas behavior significantly deviates from ideal.

Q4: What's a typical molar volume of ideal gas at STP?
A: Approximately 0.022414 m³/mol (22.414 L/mol) at standard temperature and pressure.

Q5: Can this calculator be used for any gas?
A: Yes, as long as you have the correct compressibility factor for your specific gas and conditions.