ME300HW5Solution

# ME300HW5Solution - Problem 12.7 A vessel having a volume of...

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Problem 12.7 A vessel having a volume of 0.28 m 3 contains a mixture at 40 ° C, 6.9 bar with a molar analysis of 70% O 2 , 30% CH 4 . Determine the mass of methane that would have to be added and the mass of oxygen that would have to be removed, each in kg, to obtain a mixture having a molar analysis of 30% O 2 , 70% CH 4 at the same temperature and pressure. Known: A vessel of known volume contains a mixture of O 2 , CH 4 at a specified temperature, pressure and molar analysis. Find: Determine the mass of CH 4 that would have to be added, and the mass of O 2 that would have to be removed, to produce a mixture at the same temperature and pressure, but with a different specified molar analysis. Schematic & Given Data: Initial Intermediate Final Engineering Model: (1) The overall mixture acts as an ideal gas. (2) Each mixture component behaves as if it were an ideal gas occupying the entire volume at the mixture temperature. Analysis: As the initial and final mixtures are at the same temperature and pressure, and occupy the same total volume, the total number of moles present initially and finally is the same. Using the ideal

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