Compare the energy required to cool 100.0 kmol ch4 to lng temperature to the energy required to operate a simplified methane upgrading process. use the pr eos calculate the pvt properties of the relevant substances. when necessary to objective more practice with equations of state, use of the nist thermodynamic data and more thermodynamics applied to real-world problems. further, there will be a pr eos problem on the final exam, so the hw serves as good final exam preparation. methane enters each process at 300 k and 1.0 bar in the methane to aromatics process, no methane leaves the system (unreacted methane is recycled inside the black box). the products of the reaction are benzene, toluene, and hydrogen, and for every mole of benzene formed, one mole of toluene is formed. in your energy balance, the products must leave the system at a range of temperatures (1000, 800, 600, 400, 200, 100 c and rt).for the purposes of finding the volume required for the aromatics vs the methane streams, use pr-eos, and assume that all hydrogen has been separated from the benzene/toluene prior to storage, and that all storage occurs in tanks at one bar pressure.