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7. A sample of 1.00 mole of Xe gas occupies 25.00dm3 at 200.00K. If treated as a perfect gas, the volume is calculated to be 22.00 dm3. What is the compression factor? Which forces are dominant?

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Answer #1

The compressibility factor (Z), , is a correction factor which describes the deviation of a real gas from ideal gas behavior. It is the ratio of the molar volume of a gas to the molar volume of an ideal gas at the same temperature and pressure. For an ideal gas the compressibility factor Z =1

At 200 K volume of 1 mole of Xe = 25 dm3 (25 L)

Volume of Xe as an ideal gas =22 dm3

Compressibility factor z = Vreal / Videal = 25 dm3 /22 dm3 = 1.136

As z> 1, the gas is said to show positive deviation. ie, less compressible than expected from ideal behaviour.

This is due to strong repulsive forces among the molecules

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