Use a simulator to design a compression system with intercoolers to compress \(600 \mathrm{lb} / \mathrm{hr}\) of a mixture of \(95 \mathrm{~mol} \%\) hydrogen and \(5 \mathrm{~mol} \%\) methane at \(75^{\circ} \mathrm{F}\) and 20 psia to a pressure of 600 psia if the maximum exit temperature from a compressor stage is \(400^{\circ} \mathrm{F}\) and compressor efficiency is \(80 \%\). Assume gas outlet temperatures from the intercoolers at \(120^{\circ} \mathrm{F}\). For each compressor stage, compute the BHp. For each intercooler, compute the heat duty in Btu/hr.