A device is being designed to separate a natural gas

Chapter 12, Problem 12.34

(choose chapter or problem)

A device is being designed to separate a natural gas having a molar analysis of 94% \(\mathrm{CH}_{4\) and 6% \(\mathrm{C}_{2} \mathrm{H}_{6}\) into components. The device will receive natural gas at 208C, 1 atm with a volumetric flow rate of \(100 \mathrm{m}^{3} / \mathrm{s}\). Separate streams of \(\mathrm{CH}_{4}\) and \(\mathrm{C}_{2} \mathrm{H}_{6}\) will exit, each at \(20^{\circ} \mathrm{C}\), 1 atm. The device will operate isothermally at \(20^{\circ} \mathrm{C}\). Ignoring kinetic and potential energy effects and assuming ideal gas behavior, determine the minimum theoretical work input required at steady state, in kW.