# Benedict-Webb-Rubin PVT equation

## Input(s)

R: Gas Constant (BTU/mol psi K)

$$\mathrm{T}$$: Temperature $$(\mathrm{K})$$

$$\rho$$: Density $$(\mathrm{g} / \mathrm{cc})$$

A: Correlation Constant (dimensionless)

B: Correlation Constant (dimensionless)

C: Correlation Constant (dimensionless)

a: Correlation Constant (dimensionless)

b: Correlation Constant (dimensionless)

c: Correlation Constant (dimensionless)

$$\alpha$$: Correlation Constant (dimensionless)

$$\gamma$$: Correlation Constant (dimensionless)

## Output(s)

P: Pressure (psi)

## Formula(s)

\begin{aligned} \mathrm{P} & =\mathrm{R} * \mathrm{~T} * \rho+\left(\left(\mathrm{B} * \mathrm{R} * \mathrm{~T}-\mathrm{A}-\frac{\mathrm{C}}{\mathrm{T}^{2}}\right) *\left(\rho^{2}\right)\right)+\left(\rho^{3}\right) *(\mathrm{~b} * \mathrm{R} * \mathrm{~T}-\mathrm{a})+\mathrm{a} * \alpha *\left(\rho^{6}\right)+\left(\mathrm{c} * \frac{\rho^{3}}{\mathrm{~T}^{2}}\right) *\left(1+\gamma *\left(\rho^{2}\right)\right) \\ & * \exp \left((-1) * \gamma *\left(\rho^{2}\right)\right) \end{aligned}

## Reference(s)

John M. Campbell, Gas Conditioning and Processing, Campbell Petroleum Series, Oklahoma, 1992, Vol. 1, Page: 48.

## Related

### Correlation factor for Benedict-Webb-Rubin equation

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