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A gas obeys P(V-b)=RT. Which of the foll...

A gas obeys `P(V-b)=RT`. Which of the following are correct about this gas?
(`I`) Isochoric curves have slop `=(R )/(V-b)`.
(`II`) Isobaric curves have slope `(R )/(P)` and intercept `b`.
(`III`) For the gas compressibility factor `=1+(Rb)/(RT)`.
(`IV`) The attraction forces are overcome by repulsive forces.

A

Isochoric Curves have slope `=(R )/((V-b))`

B

Isobaric Curves have slope R/P and intercept b

C

For the gas compressibility factor `=1+(Pb)/(RT)`

D

The attraction forces are overcome by repulsive forces

Text Solution

Verified by Experts

`P(V-b)RT`
`therefore P=(R )/((V-b))T`
Slope `=(R )/((V-b))`
`PV-Pb=RT`
`rArr V =(RT)/(P)+b`
Slope `=(R )/(P)`, Intercept =b
`Z=(PV)/(RT)=1+(Pb)/(RT), Z gt 1`.
Hence repulsive forces predominates.
Hence, (A), (B), (C) and (D) are the correct answer.
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