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Compressibility Factor

The real gas ...

Question

The real gas equation at high pressure will be:

A

P V + P b = R T

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B

P V - P b = R T

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C

P V - P b = - R T

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D

P V + P b = - R T

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Solution

The correct option is B $P V - P b = R T$
According to van der Waals' equation of state,
$(P + \frac{a}{V^{2}}) (V - b) = R T$ (for one mole of gas)
For high pressure, we can neglect the term $\frac{a}{V^{2}}$
$∴ P (V - b) = R T$
$⟹ P V - P b = R T$

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