In a real gas equation pv = ZRT, depending on the values of temperature and pressure of the real gas, the value of Z ____________. 

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HPCL Engineer Mechanical 04 Nov 2022 Official Paper (Shift 2)
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  1. should always be greater than unity
  2. may be less than, greater than or equal to unity 
  3. should always be equal to unity
  4. should always be less than unit

Answer (Detailed Solution Below)

Option 2 : may be less than, greater than or equal to unity 
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Detailed Solution

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Explanation:

In a real gas equation, the compressibility factor z is given by-

\(Z = \frac{{PV}}{{RT}}\)

The value of compressibility factor z may be greater than one, less than one or equal to one depending upon the pressure P and temperature T of the real gas.

  • At low pressure and low temperature, z < 1 (In this condition, molecular attraction dominates)
  • At low pressure and high temperature or ideal gas condition, z = 1
  • At low temperature and high pressure, z > 1 (In this condition, the co-volume is high)

The interaction between the molecules from the value of z.

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