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Q.

A gas obeys $P (V - b) = R T$ . Which of the following are correct about this gas?

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a

For the gas compressibility factor $= 1 + \frac{P b}{R T}$

b

Isobaric curves have slope $\frac{R}{P}$ and intercept b.

c

The attraction forces are overcome by repulsive forces.

d

Isochoric curves have slope $= \frac{R}{V - b}$

answer is A, B, C, D.

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Detailed Solution

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$P (V - b) = R T ∴ P = \frac{R}{(V - b)} T Slope = \frac{R}{(V - b)} P V - P b = R T ∴ V = \frac{R T}{P} + b Slope = \frac{R}{P} and intercept b Z = \frac{P V}{R T} = 1 + \frac{P b}{R T} \Rightarrow Z > 1 i . e . r e p u l s i v e f o r c e s p r e d o m i n a t e s .$

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