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The fugacity coefficient, $\phi$, of a gas is given by the equation:

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

Which of the following gives the expression for the fugacity coefficient of a gas that obeys the following virial equation of state?

$$P\bar { V } = RT + BP$$

...where $B$ is the second virial coefficient that is a function of temperature only.

A

${ e }^{ BP}$

B

${ e }^{ -BP}$

C

${ e }^{ \frac { BP }{ RT } }$

D

${ e }^{ -\frac { BP }{ RT } }$

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