Experimental values of critical compressibility factor (Zc) for most gases fall in a narrow range of:

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HPCL Engineer Mechanical 04 Nov 2022 Official Paper (Shift 2)
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  1. 0.1 to 0.2 
  2. 0.01 to 0.1 
  3. 0.2 to 0.3
  4. 0.3 to 1.0

Answer (Detailed Solution Below)

Option 3 : 0.2 to 0.3
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Detailed Solution

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Explanation:

Important points:

  • Compressibility factor for ideal gas (Z) = 1 → Compressibility factor for real gas (Z) = may be less than or more than unity (Z<1 or Z>1)
  • The value of Z at the critical state of a van der Waals gas is 0.375
  • At very low pressures Z approaches unity, as a real gas approaches the ideal gas behaviour. 
  • Experimental values of the critical compressibility factor (Zc) for most substances fall within a narrow range 0.20-0.30.

Additional Information

  • The compressibility factor (Z) of any gas is a function of only two properties, usually temperature (T) and pressure(p), so that Z= f (Tr, pr) except near the critical point.
  • The value of Z for any real gas may be less or more than unity, depending on pressure and temperature conditions of the gas.
  • The general compressibility chart is plotted with Z versus pr for various values of Tr. This is constructed by plotting the known data of one or more gases and can be used for any gas.​
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