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PROBLEM 14.1KNOWN:Mixture of O2and N2with partial pressures in the ratio 0.21 to 0.79.FIND:Mass fraction of each species in the mixture.SCHEMATIC:2ON2p0.21p0.79=2O32 kg/kmol=M2N28 kg/kmol=MASSUMPTIONS:(1) Perfect gas behavior.ANALYSIS:From the definition of the mass fraction,iiiimrrrr==ΣHence, with(29iii iiiippp.R T/TTr===ℜℜMMHencei iii ip /Tmp /Tℜ=ΣℜMMor, cancelling terms and dividing numerator and denominator by the total pressure p,iiiiixm.x=ΣMMWith the mole fractions as22OO0.21xp/ p0.210.210.79===+22NNxp/ p0.79,==find the mass fractions as2O320.21m0.233320.21280.79×==×+×<22NOm1m0.767.=-=<
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