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The fugacity, $f$, and fugacity coefficient for a gas can be expressed as follows:

$$\ln { \left(\frac { f }{ P } \right)} =\frac { 1 }{ RT } \int _{ 0 }^{ P }{ (\bar { V } - { \bar { V } }_{ ideal }) dP } $$
$$\ln { \phi } =\int _{ 0 }^{ P }{ \frac { Z - 1 }{ P } dP } $$

...where $\phi$ is the fugacity coefficient, and $Z$ is the compressibility factor of the gas.

Which of the following relationships is true for a gas at a pressure when $Z<1$?

A

$f < P$

$\phi < 1$

B

$f < P$
$\phi > 1$

C

$f > P$
$\phi > 1$

D

$f > P$
$\phi < 1$

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