The compressibility factor of a gas is given by (where, V₁ = actual volume of the gas V₂ = gas volume predicted by ideal gas law )?

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  1. V₁/V₂
  2. V₂/V₁
  3. V₁-V₂
  4. V₁.V₂

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Answer: Option 1

The compressibility factor is given by $$Z = \frac{{P{V_1}}}{{RT}}.$$   If at the same temperature and pressure if the same gas exists as ideal gas than we can write: \[\begin{array}{l} Z = 1 = \frac{{P{V_2}}}{{RT}} \Rightarrow \frac{{RT}}{P} = {V_2}\\ {\rm{So, }}\,\,Z = \frac{{{V_1}}}{{{V_2}}}. \end{array}\]

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