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The compressibility factor (Z) of a gas ...

The compressibility factor (Z) of a gas at critical state is
`(T_(e)=(8a)/(27Rb),p_(e)=(a)/(27b^(2)),V_(e)=3b)`

A

`(8)/(3)`

B

1

C

`(3)/(8)`

D

0.5

Text Solution

Verified by Experts

The correct Answer is:
C
Given , ` T_(c) = (8a)/(27 Rb)` ,
` p_(c) = (a)/(27b^(2)), V_(c) = 3b `
`because `Compressibility factor ` (Z) = (pV)/(RT) `
`(Z) = [(a)/(27b^(2))] xx [3b] xx[(R.27b)/(R.8a)]`
`Z = 3/8`
Hence, option (C) is the correct answer .
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