Question

Prove that
(a)Vc=3b Pc=a/27Rb2​

Answer 1

Answer:

For a Vander Waals gas V

c

=3b,P

c

=a/27b

2

,T

c

=8a/27bR. Numerically the compressibility factor of a Vander Waals gas at the critical points is Z = 0.375.

Z=

RT

c

P

c

V

c

Z=

R×8a/27bR

a/27b

2

×3b

=

8

3

=0.375

Explanation:

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Answer 2

Answer:

For a Vander Waals gas V

c

=3b,P

c

=a/27b

2

,T

c

=8a/27bR. Numerically the compressibility factor of a Vander Waals gas at the critical points is Z = 0.375.

Z=

RT

c

P

c

V

c

Z=

R×8a/27bR

a/27b

2

×3b

=

8

3

=0.375

Explanation:

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