Calculate the fugacity of liquid butadiene at \(313 \mathrm{~K}\) and 10 bar. The saturation pressure of butadiene at \(313 \mathrm{~K}\) is 4.2 bar. The molar volume and saturated fugacity of liquid butadiene at \(313 \mathrm{~K}\) are \(90.45 \times 10^{-6} \mathrm{~m}^{3} / \mathrm{mol}\) and 4.12 bar respectively.