5_60_lecture15

# 5_60_lecture15 - MIT OpenCourseWare http/ocw.mit.edu 5.60...

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Unformatted text preview: MIT OpenCourseWare http://ocw.mit.edu 5.60 Thermodynamics & Kinetics Spring 2008 For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms . 5.60 Spring 2008 Lecture #15 page 1 Chemical Equilibrium Ideal Gases Question: What is the composition of a reacting mixture of ideal gases? e.g. ½ N 2 (g, T , p ) + 3/2 H 2 (g, T , p ) = NH 3 (g, T , p ) What are 2 2 , , and N H NH 3 p p p at equilibrium? Let’s look at a more general case ν A A(g, T , p ) + ν B B(g, T , p ) = ν C C(g, T , p ) + ν D D(g, T , p ) The ν i ‘s are the stoichiometric coefficients. Let’s take a mixture of A, B, C, and D with partial pressures , , , and A A A B C C D D p X p p X p p X p p X p = = = = Is this mixture in equilibrium? We can answer by finding G ∆ if we allow the reaction to proceed further. We know for an ideal gas in a mixture ( , i T p µ ) and we know that i i i G n µ = ∑ ⇒ ( ) ( ) ( ) ( { ) } ε ε ν µ ν µ ν µ ν µ ⎡ ⎤ ⎡ ∆ = + − + ⎣ ⎦ ⎣ ( ) g, , g, , g, , g, , A A B B C C D D G T p T p T p ⎤ ⎦ T p 5.60 Spring 2008 Lecture #15 page 2 where ε is an arbitrary small number that allows to let the reaction proceed just a bit....
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5_60_lecture15 - MIT OpenCourseWare http/ocw.mit.edu 5.60...

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