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Q.

A gas has temperature greater than its Boyle temperature. Which of the following characteristics regarding its compression factor, Z, in the lower pressure region is correct?

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a

Z > 1

b

Z < 1

c

Z = 1

d

Z > 1or Z < 1 depending upon its molar volume

answer is A.

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Detailed Solution

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  • The Boyle temperature, also known as the Boyle point, is the temperature at which the second virial coefficient of a gas becomes zero. 
  • At this temperature, the gas obeys Boyle's law, which states that at constant temperature, the product of pressure and volume is constant.
  • The compressibility factor or Z factor is a dimensionless quantity that relates the actual behavior of a gas to the behavior predicted by the ideal gas law. 
  • The Z factor is given by the ratio of the product of pressure and volume to the product of the number of moles of the gas, the gas constant, and the temperature.
  • When the temperature is greater than the Boyle temperature, the gas behaves less ideally, and its Z factor becomes greater than 1. 
  • This means that the gas deviates more from ideal gas behavior and is more compressible.
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