(a) In Assignment 6, you showed that the enthalpy departure function of a van der Waals fluid can be written as: (HHIG)T,P=RT(Z1ZA) where A=(RT)2aP and Z=RTPV. Show that the entropy departure function of a van der Waals fluid can be written as: (SSIG)T,P=Rln(ZB) where B=RTPb. (b) 100mol/s of methane at 400K and 1.0bar is reversibly and adiabatically compressed to 50.0 bar. Determine the compressor's power requirement in kJ/s, assuming methane follows the van der Waals equation of state. Use the vdW parameters a and b in Table 6.4-1 for methane and its full CP(T) polynomial as defined in Appendix A.II