The compressibility factor for a real gas at high pressure is

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1 + \frac{P b}{R T}

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1 - \frac{a}{R T}

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1 + \frac{R T}{P b}

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Solution

The correct option is B $1 + \frac{P b}{R T}$
For real gases $(P + \frac{a}{v^{2}}) (v - b) = R T p >> \frac{a}{v^{2}} P (v - b) = R T \Rightarrow P v = R T + P b \frac{P v}{R T} = Z = \frac{R T + P b}{R T} Z = 1 + \frac{P b}{R T}$

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