thermodynamics - Variation of compressiblity factor with

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While I certainly understand the order of temperatures, I can't find a reason for the curves to intersect at one common point. Why do the curves intersect at one point? or do they really intersect

The given graph represents the variations of compressibility factor `Z=PV//nRT` vs `

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Boyle's temperature or Boyle point is the temperature which a real gas starts behaving like an ideal gas over a particular range of pressure. A graph is plotted between compressibility factor Z