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lecture07 - LECTURE 7 THERMODYNAMICS An Engineering...

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1 LECTURE 7 THERMODYNAMICS An Engineering Approach NONREACTING IDEAL GAS MIXTURES & PSYCHROMETRICS Dr. MinJun Kim Department of Mechanical Engineering & Mechanics Drexel University Describing Mixture Composition To specify the state of a mixture requires the composition and the values of two independent intensive properties such as temperature and pressure. i i i M m n ! Mass Number of moles: Molecular weight Mass fractions: m m mf i i ! " ! ! j i i mf 1 1 Mole fractions: n n y i i ! " ! ! # # # # ! j i i j n n n n n n 1 3 2 1 ... " ! ! j i i y 1 1 Molecular weight of the mixture: i j i i M y M " ! ! 1 n m M !
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2 Approximate Composition of Dry Air Component Mole Fraction (%) Nitrogen Oxygen Argon Carbon dioxide Neon, helium, methane, and others 78.08 20.95 0.93 0.03 0.01 kmol kg M / 97 . 28 ) 01 . 44 ( 0003 . 0 ) 94 . 39 ( 0093 . 0 ) 00 . 32 ( 2095 . 0 ) 02 . 28 ( 7808 . 0 ! # # # $ p-V-T Relationships for Ideal Gas Mixtures Dalton Model: premises that each mixture component behaves as an ideal gas as if it were alone at the temperature T and volume V of the mixture . V T R n p ! V T R n p i i ! i i i i y n n V T R n V T R n p p ! ! ! / / Amagat Model: is that each mixture component behaves as an ideal gas as if it existed separately at the pressure p and temperature T of the mixture . p T R n V i i ! i i i i y n n p T R n p T R n V V ! ! ! / /
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3 U, H, & S for Ideal Gas Mixtures " ! ! # # # # ! j i i j U U U U U U 1 3 2 1 ... " ! ! # # # # ! j i i j H H H H H H 1 3 2 1 ... " ! ! # # # # ! j i i i j j u n u n u n u n u n u n 1 3 3 2 2 1 1 ... " ! ! # # # # ! j i i i j j h n h n h n h n h n h n 1 3 3 2 2 1 1 ... " ! ! j i i i u y u 1 " ! ! j i i i h y h 1 " ! ! j i i v i v c y c 1 " ! ! j i i p i p c y c 1 " ! ! j i i s y s 1 Ms s Mc c Mc c Mh h Mu u v v p p ! ! ! ! ! , , , , i i i i v i i v i p i i p i i i i i i s M s c M c c M c h M h u M u ! ! ! ! ! , , , , For mixture, For component i , Mixture Processes @ Constant Composition %& " ! ! j i i i i T u T u n U U 1 1 2 1 2 ) ( ) ( " ! ! j i i i i T h T h n H H 1 1 2 1 2 ) ( ) ( " ! ! ( j i i i i T h T h y h 1 1 2 ) ( ) ( " ! ! ( j i i i i T u T u y u 1 1 2 ) ( ) ( " !
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This note was uploaded on 02/28/2011 for the course MEM 310 taught by Professor Miller during the Winter '08 term at Drexel.

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lecture07 - LECTURE 7 THERMODYNAMICS An Engineering...

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