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Compressibility Factor (Z)
0.8124
Compressibility Factor (Z) vs Pressure (P)
सूत्र
## Compressibility Factor ### Formula **Z = PV_m / (RT)** Where: - **Z** = compressibility factor (dimensionless) - **P** = pressure (atm) - **V_m** = molar volume (L/mol) - **R** = 0.08206 L·atm/(mol·K) - **T** = temperature (K) For an ideal gas, Z = 1. Z < 1 means attractive forces dominate; Z > 1 means repulsive forces dominate.
हल किया गया उदाहरण
A gas at 100 atm, 300 K, has a molar volume of 0.2 L/mol.
- 01Z = PV_m / (RT)
- 02Z = (100 × 0.2) / (0.08206 × 300)
- 03Z = 20 / 24.618
- 04Z = 0.8124
अक्सर पूछे जाने वाले प्रश्न
What does Z = 1 mean?
Z = 1 means the gas behaves ideally. The actual molar volume equals the ideal molar volume predicted by PV = nRT.
What causes Z < 1?
Intermolecular attractions pull molecules closer together, reducing the volume below ideal predictions. This is common at moderate pressures.
What causes Z > 1?
At very high pressures, molecular volume and repulsive forces become significant, causing the gas to occupy more volume than predicted.
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