a) Please, show that \left(\frac{\partial H}{\partial P}\right)_{S}=\left(\frac{\partial G}{\partial P}\right)_{T} What work is needed for the steady-flow separation of a mixture of CH4 and C2H6 of equal molar fractions at 125°C

and 2.8 bar into pure gases' streams at 33°C and 1.2bar if the T surroundings is 308 K? Please, use the "Heat Capacities of Gases in the Ideal- Gas State" found in the textbook "Introduction to Chemical Thermodynamics" by Smith found on Canvas.Given: R= 8.314 J/ (mol K).