Compressibility factor for $H_{2}$ behaving as real gas is:

1

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(1 - \frac{a}{R T V})

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

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none of these

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Solution

The correct option is C $(1 + \frac{P b}{R T})$
At high pressure, all gases have $z > 1$
$\Rightarrow P V = P b + R T$
$\Rightarrow \frac{P V}{R T} = 1 + \frac{P b}{R T}$

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