Using the generalized virial coefficient of correlation, estimate the residual enthalpy and entropy for ethylene at \(339.7 \mathrm{~K}\) and \(1 \mathrm{bar}\), given that \(T_{\mathrm{C}}=283 \mathrm{~K}, P_{\mathrm{C}}=51.17 \mathrm{bar}\), and \(\omega=0.089\).